Dynamic angle of attack measurement system and method therefor

Information

  • Patent Grant
  • 6381521
  • Patent Number
    6,381,521
  • Date Filed
    Wednesday, October 11, 2000
    24 years ago
  • Date Issued
    Tuesday, April 30, 2002
    22 years ago
Abstract
A method measures the angle of attack for the leading and trailing sets of wheels in trucks of rail vehicles traveling over track in a wayside system. At a first point on the outside rail of a track vertical force is measured with a first vertical strain gage, lateral force is measured with a first lateral strain gage and an outside angle of attack timing signal is measured with a first angle of attack strain gage. This process is repeated on the inside track so that a raw angle of attack for each set of wheels can be determined based upon speed and time difference. Ratios between the lateral force and the vertical force for the wheels of each are used to select raw angle of attack values for properly steering trucks that are averaged together to obtain an average angular offset value related to any misalignment of the strain gages. A dynamic angle of attack for each set of wheels is obtained by subtracting the average angular offset value from each raw angle of attack value to obtain a dynamic angle of attack value for each set of wheels. Greater accuracy in measuring angle of attack values occurs by taking a derivative of the data and using a polynomial fit to find the derivative's peak.
Description




BACKGROUND OF THE INVENTION




1. Field of the Invention




The present invention pertains to a system and method for measuring the angle of attack between a railway wheel set and underlying track.




2. Statement of the Problem




The interaction between a set of railway wheels and the underlying track has been extensively studied. The angle of attack (AOA) is generally defined as the yaw angle between the wheels and the rails. AOA is a critical factor for assessing rail vehicle performance. For example, during curve negotiation, a larger value of AOA indicates a potential for the wheel set to climb the rails or to generate large gage spreading forces. In

FIG. 1

, a set


100


of wheels


40


and


50


are connected to axle


30


and moves M in the direction shown on outside rail


10


and inside rail


20


. The leading wheel


50


is on outside rail


10


and the trailing wheel


40


is on inside rail


20


. One measurement of angle of attack is the angle (AOA


1


) between the plane


60


of wheel


50


and the tangent


70


to the outside rail


10


upon which the leading wheel


50


is engaged. Angle of attack is also shown by the angle (AOA


2


) between line


80


which is normal to the tangent


70


and the axle centerline


90


.




When AOA is zero, the rotational velocity


110


of the wheel set has equal magnitude and direction as the translational velocity


120


of the railway vehicle to which the wheel set is attached. This results in pure rotation of the wheels which converts to pure forward velocity of the railcar attached to the wheels. At the other extreme where AOA is large, the translational velocity


120


of a railroad vehicle is due to the rotational velocity


110


plus a lateral velocity


130


as shown in FIG.


1


. In this scenario, the lateral forces F


L


which are a function of the lateral velocity


130


on wheel


50


as shown in

FIG. 2

are great which may result in damage, higher maintenance, or possible derailment.

FIG. 2

also shows the vertical force, F


V


of the wheel


50


, on the outside rail


10


.




In

FIG. 3

, the conventional relationship between AOA, F


L


and F


V


is generally illustrated as curve


300


. Curve


300


is well known such as found in the following reference: Kalker, “Review of Wheel-Rail Rolling Contact Theories,” pages 77-92 of The General Problem of Rolling Contact AMD-40 Published by The American Society of Mechanical Engineers. AOA appears on the horizontal scale and the ratio of the F


L


to F


V


is shown on the vertical scale. When F


L


is zero and AOA is zero, the rotational velocity of the wheel set is converted directly to the forward velocity of the rail vehicle. This is shown as


310


in FIG.


3


. In region


330


, lateral creepage occurs, and the lateral forces, F


L


, increase as the value of AOA increases. Lateral creepage can be defined as translational velocity


110


minus lateral velocity


120


as a percent of translational velocity


100


. In region


320


, the amount of friction between the wheel and the surface of the rail causes gross slippage to occur. Normally the ratio of F


L


to F


V


saturates at u, the coefficient of friction


350


for curve


300


. Curve


340


, for example, can be a lubricated set of rails that has a lower coefficient of friction.




Systems are available which measure AOA. U.S. Pat. No. 5,368,260 uses a wayside range finder that incorporates a beam of laser light directed to the wheel so as to measure AOA


1


between the plane


60


of the wheel and the tangent


70


of the track


10


as shown in FIG.


1


. In order to do this, wheel detectors are placed on the track so that passage of a wheel can be detected which start and stop the range finder. In addition, an average velocity measurement occurs. The range finder generates a complete profile image as each wheel passes the wayside range finder. From this image, AOA is calculated. One such system, Wayside Inspection Devices, Inc., 4390 De Maisonneuve, Westmount, Quebec H3Z 1L5 Canada, uses lasers precisely positioned on the wayside of a track to carefully determine AOA based on reflected laser light. These systems claim to accurately provide angle of attack measurements within one milliradian (i.e., 3.44 arc minutes). Such systems, however, are expensive, require continued maintenance and supervision, and are prone to vandalism.




Another prior art approach uses a pair of vertical strain gages to measure the passage of a set of wheels over the rails at the position of the strain gage. Otter and Martin, Rugged Transducers for Measurement of Angle of Attack and Lateral Railhead Displacement, Technology Digest, August, 1992 (TD 92-010). The use of strain gages in an AOA measurement system results in a much less expensive system, one that is easy to maintain, and one that is not easily vandalized in comparison to laser systems. Such strain gage systems, however, do not have the accuracy in measuring AOA as laser systems and usually results in an accuracy of 3-4 milliradians.




In addition to the systems discussed above, AOA has also been measured with a vehicle-mounted system for a particular wheel set as the rail vehicle travels on the track. Mace et al., New Vehicle-Mounted Angle of Attack Measurement System, Technology Digest, February 1995 (TD 95-004). These systems are mounted to each wheel set and, therefore, are not suitable for wayside use for determining AOA for all wheel sets in a train.




The known optical, laser, and strain gage wayside systems and methods for measuring angle of attack result in a static AOA measurement which does not take into account the dynamic misalignment of the rails as the wheel sets pass over or when misalignment of the wayside measuring system occurs due to soil, rail, or tie shifting due to moisture, temperature, lateral train forces, etc.




A need exists for a system and method for measuring AOA which is inexpensive, rugged, less prone to vandalism, easier to maintain, and yet provides an AOA measurement over a range of ±50 milliradians with an accuracy of 1 to 3 milliradians. Furthermore, a need exists for such a system and method to dynamically measure AOA so as to compensate for any misalignment. Finally, a need exists to improve upon the earlier conventional approach using strain gages by better predicting when the wheel set crosses directly over the AOA strain gages.




SUMMARY OF THE INVENTION




1. Solution to the Problem




The present invention through its unique system and method solves the aforesaid needs by measuring AOA with an inexpensive and rugged system that is less prone to vandalism and is easier to maintain. Yet, the system of the present invention provides an AOA measurement between 1 milliradian and 3 milliradians of accuracy. The system and method of the present invention dynamically measures AOA so as to compensate for any misalignment in the wayside measuring system due to soil, rail, or tie shifting. Finally, the system and method of the present invention provides a unique approach to more accurately determine when a wheel crosses directly over AOA strain gages.




2. Summary




A system and method is set forth for measuring AOA for the leading and trailing sets of wheels in trucks of rail vehicles traveling over track. The method includes obtaining an accurate measurement of the angle of attack by taking a derivative of the angle of attack time sample data, locating peaks in the derivative and determining the angle of attack value based upon the located peaks. This method precisely locates the passage of a railway wheel over the angle of attack sensors.




Another aspect of the present invention, a system and method is presented for determining raw angles of attack for all sets of wheels, selecting only those raw angles of attack that have trucks on the track within a predetermined range of lateral to vertical force ratios indicating proper steering, calculating a dynamic angular offset value based on the selected raw angles of attack and then subtracting the dynamic angular offset value from all raw angles of attack so as to arrive at a dynamic angle of attack for each wheel set.




In more particular, the system and method of the present invention provides the following. At a first point on the outside rail of a track, vertical force is measured with a first vertical strain gage, lateral force is measured with a first lateral strain gage and an outside angle of attack timing signal is measured with a first AOA strain gage. This process is repeated on the inside track so that a raw angle of attack for each set of wheels can be determined based upon speed. Ratios between the lateral force and the vertical force for the outside wheels are used to select raw angle of attack values for properly tracking trucks that are averaged together to obtain an average angular offset value related to any misalignment. A dynamic angle of attack for each set of wheels is obtained by subtracting the average angular offset value from each raw angle of attack value to obtain a dynamic angle of attack value for each set of wheels.











BRIEF DESCRIPTION OF THE DRAWINGS





FIG. 1

illustrates the prior art angle of attack between a set of wheels and track.





FIG. 2

sets forth the prior art relationship between a wheel and a rail with respect to lateral and vertical forces.





FIG. 3

is a prior art illustration of the relationship of lateral force to the angle of attack.





FIG. 4

is a block diagram representation of the system of the present invention.





FIG. 5

illustrates the placement of angle of attack strain gages on the outside and inside rails.





FIG. 6

sets forth the placement of the angle of attack strain gages to a rail.





FIG. 7

sets forth the prior art placement of the vertical strain gages to a rail.





FIG. 8

sets forth the prior art placement of lateral strain gages to a rail.





FIG. 9

sets forth the system functional components in a flow chart for the method of the present invention.





FIG. 10

sets forth an illustration for determining the speed.




FIG.


11


(


a


) sets forth the measurement of vertical force.




FIG.


11


(


b


) sets forth the measurement of lateral force occurring at the same time the vertical force is measured in FIG.


11


(


a


).




FIG.


12


(


a


) illustrates the measurement of vertical force for a plurality of wheels.




FIG.


12


(


b


) sets forth the measurement of the lateral force corresponding to the wheels measured in FIG.


12


(


a


).




FIG.


13


(


a


) sets forth measurement of the angle of attack.




FIG.


13


(


b


) is the determination of the derivative peak for FIG.


13


(


a


).




FIG.


14


(


a


) illustrates the determination of the angle of attack for truck containing two wheel sets.




FIG.


14


(


b


) illustrates the possible misalignment between the AOA gages on opposing rails.











DETAILED DESCRIPTION OF THE INVENTION




1. Overview of System




In

FIG. 4

, the overall system block diagram, of one embodiment of the present invention, is set forth. Located


400


to the rails


10


and


20


of

FIG. 1

, is a wayside unit


410


. Located remote


420


to the wayside unit is a remote system


430


. The wayside unit


410


communicates


440


with the remote system


430


by any of a number of conventional communication paths. For example, but not intended to limit the scope of the invention, communication path


440


could be a wireless path such as a radio link, cellular path or a satellite uplink. Communication path


440


could also be a hardwire communication link. The wayside unit


410


is designed to be ruggedized, weatherproof and vandal resistant. It is also designed to operate in wide temperature and humidity swings and in an environment having significant vibration and electrical noise. The remote system


430


can be located at any suitable location and can comprise any suitable computer configuration including being another wayside unit.




The wayside unit


410


includes a computer


412


receptive of signals from analog to digital converters (A/D)


414




a


,


414




b


,


414




c


,


414




d


,


414




e


, and


414




f


. These A/D converters


414


receive signals from the following strain gages mounted on outside rail


10


or inside rail


20


: F


LO


(lateral strain gage “outside”), F


LI


(lateral strain gage “inside”), F


VO


(vertical strain gage “outside”), F


VI


(vertical strain gage “inside”), AOA


O


(angle of attack strain gage “outside”), and AOA


1


(angle of attack strain gage “inside”). These digital values are processed by computer


412


for storage in a local database


416


. This database


416


can permanently or temporarily store these values. Computer


412


may preprocess the digital values from the converters


414


for storage or it may fully process these digital values.




At the remote system


430


is a computer


432


which is in communication over communication path


440


with computer


412


of the wayside unit


410


. Many different communication protocols can be utilized to provide this communication. The communication over path


440


can be periodic, aperiodic, based upon a call up protocol, etc. Computer


432


accesses database


434


and may optionally be interconnected to a conventional monitor


436


, a conventional keyboard (or mouse or touch screen)


438


or a conventional printer


439


. It is to be expressly understood that these peripheral devices


436


,


498


,


439


may comprise any suitable peripheral devices for providing input of commands, signals, etc. from a user into the computer


432


and to provide output of information therefrom. Indeed, computer


432


, in turn, can use another communication path to communicate with one or more remote systems (not shown) such as by over the Internet. The wayside unit


410


and remote system


430


, as shown in

FIG. 4

, is only one of many processing embodiments that can be utilized to incorporate the teachings of the present invention.




2. Details of Strain Gage Placement




The following sets forth the details of how the strain gage sensors are placed onto conventional track. In

FIG. 5

, the outside rail


10


and the inside rail


20


have the AOA


O


and AOA


I


strain gages mounted as shown. They are mounted along line


80


which is normal to the tangent line


70


of the outside rail


10


and separated by distance D


R


from the inside rail


20


.




In

FIG. 6

, outside track


10


is shown with the AOA


O


strain gages


600


and


610


on opposite sides of the rail web


12


between the railhead


14


and the rail base


16


. The strain gages


600


and


610


are located on center with perpendicular line


80


(as shown in FIGS.


1


and


5


). Preferably the strain gages are environmentally rugged shear gages welded to the rail. Line


620


is the neutral axis for rail


10


and line


630


is normal to lines


80


and


620


. Hence, the AOA


O


pair of strain gages


600


and


610


are precisely located at the intersection of lines


80


,


620


, and


630


as shown in FIG.


6


. This intersection is identified as point


640


. The gages


600


and


610


are mini-welded/bonded to rail


10


and protected by waterproofing and protective covers. The AOA strain gages are electrically connected to issue an AOA


O


signal which is delivered to A/D circuit


414




e


. The AOA


I


pair of gages, not shown, are oriented and placed on inside rail


20


on line


80


in the same fashion as shown in FIG.


6


and to issue signal AOA


I


for delivery to A/D circuit


414




f


. The strain gages AOA


O


and AOA


I


can be any suitable transducer design capable of sensing vertical shear forces as a wheel passes over point


640


.




In

FIG. 7

, prior art vertical strain gages for F


VO


are shown for outside track


10


. The vertical strain gage comprises four separate strain gages


700


,


710


,


720


, and


730


. Strain gages


700


and


710


are mounted in opposing relationship on opposite sides of the rail web


12


as are strain gage pair


720


and


730


. Strain gage pairs


700


,


710


and


720


,


730


are centered over neutral axis


620


. In a preferred embodiment, each strain gage pair is located the same predetermined distance


740


from line


650


which is the center of the crib (i.e., the line between two adjacent ties) such as from about 3.5 inches to 8.5 inches with about a five-inch nominal spacing. The strain gage pairs are also located from the tie plate, not shown, a minimum distance


750


such as at least two inches from the tie plate, not shown. This placement is important as flexure of the rail occurs between the ties. The strain gages are electrically connected to issue an F


VO


signal to A/D circuit


414




c


. The vertical strain gages for the inside rail


20


, not shown, are oriented and placed on the inside rail about line


80


in the same fashion and are electrically connected to issue signal F


VI


to A/D circuit


414




d.






In

FIG. 8

, the mounting of the lateral strain gages for F


LO


on the outside rail


10


are shown. Strain gage pair


800


,


810


are mounted on opposite sides of the rail base


16


as are strain gage pair


820


,


830


. Each strain gage pair is located a predetermined distance corresponding to the distance


740


discussed above for the vertical strain gage pairs from the crib centerline


650


. They are also located a predetermined distance corresponding to distance


750


above. These gages are electrically connected to issue an F


LO


signal for delivery to A/D circuit


414




a


. The vertical strain gages for the inside rail


20


, not shown, are oriented and placed on the inside rail about line


80


in the same fashion and are electrically connected to issue signal F


LI


for delivery to A/D circuit


414




b.






In reference to

FIGS. 6

,


7


, and


8


, the strain gage sensors for measuring F


V


, F


L


, and AOA are all centered about point


640


on line


80


for both rails. These sensors are precisely installed on the rails


10


and


20


under the teachings of the present invention.




How the signals from the various strain gages are delivered from rails


10


and


20


to the wayside unit


410


can comprise any of a number of different approaches and how this is accomplished is not material to the teachings of the present invention. In the preferred embodiment the A/D circuits are located on a board in the wayside unit


410


. In variations, the A/D circuits


414


could be located elsewhere including on the track.




The present invention requires speed S to be determined. In

FIG. 5 and

, in one conventional approach, two strain gages S


1


and S


2


are mounted to the web


12


as shown to detect when a wheel passes overhead. As the distance D


S


is known between the two strain gages S


1


and S


2


, the speed S of a wheel can be conventionally determined. Any of a number of conventional techniques for measuring speed can be utilized under the teachings of the present invention. A preferred embodiment using the strain gages of the present invention is discussed later with respect to FIG.


10


.




In summary, the preferred embodiment for placing the strain gages of the present invention onto the track has been shown in

FIGS. 5-8

. It is to be expressly understood that any conventional strain gage transducer can be utilized under the teachings of the present invention adaptable for the environment of a railway. Furthermore, any suitable electrical connection between the strain gage sensors and their corresponding A/D converters could be utilized under the teachings of the present invention.




3. Method of Operation




The following sets forth the method of operation, in one preferred embodiment, of the present invention. As will be set forth, the method of operation of the present invention includes a unique approach to more accurately determining when a wheel passes directly over an AOA strain gage at point


640


and provides a unique process for determining any offset values due to misalignment of the strain gages in order to arrive at a dynamic angle of attack value.




In

FIG. 9

, the method of determining the angle of attack values, in a preferred form, is set forth. In stage


900


the computer, preferably computer


432


, acquires the F


VO


, F


VI


, F


LO


, F


LI


, AOA


O


and AOA


I


values from database


434


. It is to be expressly understood that through conventional processes, these values were delivered into database


434


from computer


432


. These values correspond to the strain gage outputs


416




a


,


416




b


,


416




c


,


416




d


,


416




e


, and


416




f


. These are obtained as time sample data from the A/D converters


414


. All of these strain gages


416


have been calibrated against known forces.




In a preferred application of the present invention, several wayside units


410




a


,


410




b


, and


410




c


are spaced along the track


1000


separated by known distances. This is shown in FIG.


10


and the wayside units (WU) communicate over paths


440


to a remote system


430


. It is to be expressly understood that any number of wayside units (WU) located a suitable desired distances could be used and that the teachings of the present invention are not limited to that shown in FIG.


10


.




The computation of the speed S of the train can be made based upon the existing strain gages F


L


, F


V


and AOA either individually or in combination with each other. In

FIG. 10

, and in the preferred embodiments, vertical strain gages F


V


are used to target speed S. This eliminates use of separate strain gages


416




e


as previously discussed in the embodiment shown in FIG.


5


. Again, it is to be expressly understood that the speed S can be measured in any suitable conventional fashion including the two approaches specifically discussed herein.




Several “cribs”


1020


of gages, located a known distance apart are used. A “crib” contains at minimum, a set of vertical (F


V


) and lateral (F


L


) force gages on both inside


20


and outside


10


rails. The speed S is computed from the distance between these “cribs,” and the time it took each wheel to cross the vertical gages. Each vertical gage is processed to find the time point when the vertical force was maximum. The difference in time for the wheel to pass two vertical gages, is found from this data. A wayside system (


410


) may have several “cribs”


1020


of gages directly connected. At least one “crib” has a pair of AOA gages.




In another variation, three separate wayside systems (


410


) can be placed at great distances apart. Each wayside system has at least two or more “cribs.” Each system sends its data to one of the wayside systems, which acts as the main data reduction system.




In yet another embodiment, the wayside units of

FIG. 10

could communicate with other wayside units over paths


1010


(shown in dotted lines). In this embodiment WU


1


and WU


3


do not have communication paths


440




a


and


440




c


to the remote system


430


. Many variations are possible under the teachings of the present invention. As one variation, WU


2


could act as a remote system communicating directly with WU


1


and WU


3


and eliminating the remote system


430


. Further, a wayside system may include a number of wayside units.




In stage


910


of

FIG. 9

the F


V


digital values are processed to identify the vertical peak. As the wheel passes over the vertical strain bridge comprised of gages


700


,


710


,


720


, and


730


as shown in

FIG. 7

, a single peak is produced. In FIG.


11


(


a


), an example of F


V


data is shown. In FIG.


11


(


a


) the passage of the wheel over vertical strain gage in

FIG. 7

is shown. The horizontal scale is in suitable time units such as sample counts and the vertical scale is in kilo pounds (KIPS). In

FIGS. 11

,


12


and


13


the data was collected at 500 samples per second. Curve


1100


in FIG.


11


(


a


) is representative of the type of data generated in the present invention for F


V


. In FIG.


12


(


a


), curve


1100


is also shown in conjunction with other wheel passages detected by F


V


. Hence, in FIG.


12


(


a


), two adjacent rail vehicles are shown separated by region


1210


. Rail vehicle


1220


has trucks


1222


and


1224


. With respect to stage


910


, the process of the present invention determines a peak value


1130


(FIG.


11


(


a


)) occurring at time


1140


for F


VO


(i.e., outside rail


10


). This represents the approximate time that the wheels pass over point


640


of the vertical strain gages


700


,


710


,


720


, and


730


shown in FIG.


7


.




Hence, in stage


910


, the peak for F


VO


, shown as


1130


in FIG.


11


(


a


), is ascertained which in turn determines the time


1140


for the peak


1130


. With knowledge of time


1140


, the corresponding value for the lateral force, F


LO


(i.e., outside rail


10


) is ascertained. In FIG.


11


(


b


), the lateral force, F


LO


, curve


1200


is shown as received from the lateral strain gages


800


,


810


,


820


, and


830


shown in FIG.


8


. At time


1140


, the value


1210


of the lateral force, F


LO


, is obtained. This value of lateral force occurs with the peak value


1130


of the vertical force at the same time


1140


. In this fashion, the values for F


L


and F


V


for the rails


10


,


20


are determined and the ratio between the lateral force to the vertical force (i.e., F


L


divided by F


V


) is computed for each wheel on each rail.




In stage


920


, the speed


3


for each wheel set is determined. As mentioned, the preferred embodiment shown in

FIG. 10

locates the vertical strain gages F


V1


-F


V12


in wayside units


410


along the track


1000


at known distances. From this information, the speed S can be computed for each wheel set. The determination of speed in stage


920


is important in determining AOA. The speed information is also used in other operations such as computing the spacing of the axles or car type, etc. The speed S is calculated for each wheel set since the speed may change as it passes over a set of gages at each wayside station


410


. Hence, the speed S is determined for each wheel set.




In stage


930


, the identification of the car type occurs. In stage


930


, the computer accesses a car type library database


940


which contains all relevant car types, axle spacings, the weight of the car both empty and loaded. Based upon the speed of each wheel set, the precise time is known between the peaks from the vertical strain gages so that the distance between the wheel sets in a truck can be determined (see FIG.


12


(


a


) and arrow


1250


for such a spacing). Based upon this precise spacing, the car type is obtained from the car type library


940


. Such car type data is conventionally available for wheel set spacings or such car type data can be compiled from the actual data read for each car type under the teachings of the present invention. The latter is preferred as the car type is based on actual measurements.




In stage


950


, the computer


432


of the present invention finds the AOA peak time as follows. In FIG.


13


(


a


), an example of the AOA strain gage output (

FIG. 6

) is shown over time. In stage


950


, the derivative of curve


1300


is taken by the process of the present invention. This provides curve


1310


and results in a peak


1320


as shown in FIG.


13


(


b


). As an illustration of the sample rate, data points


1302


in FIG.


13


(


a


) are obtained. The system of the present invention takes the derivative of the data obtained in FIG.


13


(


a


) from the AOA strain gage and produces corresponding data points


1312


in FIG.


13


(


b


). These data points


1312


do not indicate the position


1340


of the peak


1320


so a time window


1330


is used around each peak


1320


to find the time point T


P


of maximum value


1340


for the derivative. The derivative point


1340


corresponds to the maximum slope


1350


of the signal


1310


, which in turn corresponds to the time when the wheel is directly over the AOA gage at point


640


.




In reviewing FIG.


13


(


b


), it is noticed that this point


1340


is between two data points


1312


(


e


) and


1312


(


f


). The process of the present invention in stage


950


uses a conventional polynomial fit for the data points in window


1330


surrounding the peak


1320


to arrive at this value


1340


at time T


P


. It is to be expressly understood that other mathematical approaches could be utilized to process the data points


1312


to arrive at the peak value of


1340


. Furthermore, it is to be expressly understood that greater sampling rates would result in a more accurate curve


1300


. This determination of value


1340


occurs for each peak


1340


for each AOA gage reading for each wheel on each rail.




In step


950


, the method of the present invention converts the wave


1300


in FIG.


13


(


a


) to its derivative


1310


and estimates wave


1300


's maximum slope


1350


using a polynomial fit. This estimation is necessary because the signal is sampled and not continuous. In summary, the method of the present invention measures the angle of attack for a set of wheels


40


and


50


on the inside and outside rails


20


and


10


of track. This is accomplished by obtaining (sensors AOL


O


and AOL


I


) angle of attack time sampled data


900


for each wheel in the set of wheels. Then, taking a derivative (FIG.


13


(


b


)) of the time sampled data for each wheel. The peak


1320


is located and the time sampled data


1312


, in a predetermined window


1330


, is selected so that the actual peak value


1340


can be calculated such as by a polynomial fit process. This determines time T


P




950


so that the raw AOA can be determined as discussed next.




In stage


960


, the raw angle of attack for each set of AOA strain gages on opposing rails


10


and


20


is determined. With reference back to

FIG. 1

, the raw angle of attack is determined between lines


80


and


90


. In

FIG. 1

, wheel


50


(leading wheel when the train moves in the direction M) will cross the AOA strain gage on outside rail


10


first in time. When this occurs, the system determines the precise time T


PO


(the time wheel


50


passes the AOA strain gage point


640


located on the outside track


10


). The system of the present invention then detects and determines T


PI


(the time when wheel


40


crosses the strain gage point


640


on the inside track


20


). The raw angle of attack is computed from this time difference, the distance D


R


between rails


10


and


20


(see

FIG. 5

) and the speed S of the wheel set. This calculation is determined using conventional small angle approximation (i.e., theta in radians equals the tangent of theta). This determination of the raw AOA occurs for each wheel set (i.e., axle).




In stage


970


, dynamic angular misalignment is determined. In the actual rail environment, the rails


10


and


20


may move in response to soil movement, thermal expansion, defective wheels, tractive forces, actual physical movement of the rails by the rail vehicles and the loads they may or may not carry (which may change from rail vehicle to rail vehicle in the train), etc. Hence, and with reference to

FIG. 5

, the strain gages AOA


O


and AOA


I


may not align precisely along line


80


and may well vary dynamically from wheel axle to wheel axle as set forth next.




In FIG.


14


(


b


), the actual position of strain gages AOA


O


and AOA


I


may not be perfectly aligned along line


80


and may in fact be aligned along parallel lines


80




a


and


80




b


to form an angular offset AO or misalignment error. This could be due to a number of reasons such as longitudinal movement as the train passes over, the ground underneath the track shifting, temperature changes, tractive forces, deformation of the rails


10


and


20


, vibration by a truck


1400


passing over so as to cause dynamic movement, etc. The latter is certainly a cause of movement due to the significant mechanical vibrations caused by the truck


1400


such as when misaligned, carrying a heavy load, etc. Criteria set forth above based upon the predetermined range has for its purpose to obtain an average for AO based upon each wheel set (for example,


1410


and


1420


in FIG.


14


(


a


)) that falls within the predetermined ranges. These are summed together and an average taken to arrive at a value approximating any misalignment due to angular offset AO whether permanent such as structural deformation or dynamic such as longitudinal movement. This AO average value is used for each wheel set in a passing train to determine the dynamic AOA for each wheel set. A passing train can have any number of rail vehicles such as, for example, eighty-five. The next passing train will be used to determine a new AO average value for that train.




The raw AOA from stage


960


includes such gage misalignment (or dynamic angular offset). In step


970


, the method goes through all of the “trucks” (i.e., a truck is defined as having two axles, four wheels and associated parts) in the train, and identifies which ones are behaving properly. A truck behaves properly when operating with an AOA near point


310


in FIG.


3


. The raw AOA for the trailing axles of such properly steering trucks are averaged together. The average is approximately the dynamic angular offset, which is due to dynamic angular misalignment of the AOA gages (i.e., AOA


I


and AOA


O


in FIG.


5


). This average value is then subtracted from all of the raw AOA values for all axles so as to eliminate this effect. While the above is preferred, other embodiments could approximate the curve


300


near point


310


or provide different average values for different sections of the train.




There are two possible ways, under the teachings of the preferred embodiment, for a truck to be found properly steering. The F


L


:F


V


value on the outside rail


10


for the leading wheel (i.e., wheel


1422


of truck


1400


in FIG.


14


(


a


) is used because the outside of a curve experiences the bulk of lateral forces when improperly steering trucks pass through the curve. In the preferred embodiment, the following two selection criteria are used:




1. A truck is selected as properly steering, when the wheel


1422


on the outside rail


10


of the leading axle


1423


has an F


L


:F


V


less than 0.1, or




2. A truck is selected as properly steering, when the wheel


1422


on the outside rail


10


of the leading axle


1423


has an F


L


:F


V


greater than 0.1, but less than 0.17, and, the ratio of trailing F


L


:F


V


to the leading F


L


:F


V


is less than 0.5.




The trailing axle


1413


raw AOA values are summed from the trucks that were accepted by meeting the above predetermined ranges, and the average corresponding to the dynamic angular offset due to misalignment is computed from that. The average is obtained by dividing the sum, by the number of selected trailing axles


1413


in step


970


.




The rational behind using these two criteria for selecting trucks, is as follows.




1. If a truck is steering properly both its leading


1423


and trailing


1413


axles should have low F


L


:F


V


values, with the leading axle


1423


having a higher F


L


:F


V


than the trailing axle


1413


. If a leading axle


1423


is below some selected threshold, then its trailing axle


1413


should be steering properly, and should be practically perpendicular to the rails


10


and


20


. A threshold value of F


L


:F


V


=0.1 satisfies this criteria.




2. If a leading


1423


axle's F


L


:F


V


is above the threshold of 0.1 used in step #1, but below a somewhat higher threshold value (e.g., 0.17), the truck is still selected if the trailing


1413


axle's L/V is less than half of the leading F


L


:F


V


.




It is to expressly understood that the above represents a preferred embodiment and that either the first range or second range, in some embodiments, could solely be used. Further, the actual range values of 0.1 and 0.17 and ratio of 0.5 could also vary dependent upon the train/rail design especially found such as in other countries.




Step


970


dynamically determines an average angular offset value due to misalignment of the strain gages AOA


O


and AOA


I


, as shown in FIG.


5


. While averaging is used, other mathematical processes could be used to estimate the angular offset value.




In stage


980


, the method of the present invention uses the average angular offset value as determined above for dynamic misalignment in step


980


to determine the actual dynamic AOA values for each axle. The average angular offset value is now subtracted from each raw AOA values obtained in step


950


and this results in a dynamic AOA value for each axle.




It is to be understood that while

FIG. 9

sets forth a preferred method of the present invention, that the actual sequence of steps set forth therein may change or be done in different processing loops such as in a two pass processing loops, etc.




In FIG.


14


(


a


), a truck


1400


of a rail vehicle is shown having a leading axle set


1420


and a trailing axle wheel set


1410


. Axle wheel set


1410


has an outside wheel


1412


and an inside wheel


1414


. Axle wheel set


1420


has an outside wheel


1422


and inside wheel


1424


. In FIG.


14


(


a


) the trailing wheel set


1410


of truck


1400


moving in the direction M forms an angle of attack AOA as determined by gages AOL


O


and AOL


I


as previously discussed. The earlier leading wheel set


1420


of the truck


1400


had formed an angle of attack AOA which was measured by strain gages AOA


O


and AOA


I


.




The method of the present invention may be stated in another way from the viewpoint of time:




 ΔT


RAW


=ΔT


AOA


+ΔT


AO


  FORMULA 1




where




ΔT


RAW


=The time difference in FIG.


14


(


a


) between an outside wheel passing over AOA


O


and an inside wheel on the same axle passing over AOA


I


.




ΔT


AO


=The time difference caused by misalignment of the AOA


O


and AOA


I


gages shown in FIG.


14


(


b


).




ΔT


AOA


=The time difference due to the angle of attack.






ΔT


AOA


=ΔT


RAW


−ΔT


AO


  FORMULA 2






As shown in Formula 2, the time difference due to misalignment is estimated according to the method of the present invention and subtracted from the raw time. The remaining time difference is due to the angle of attack. The delay due to the angle of attack is also a function of speed since the delay time becomes smaller at higher speeds. Formulas 1 and 2 could be expressed in angles if speed and time datas were already converted to angles.




It is to be expressly understood that other approaches such as statistical methods could be taken such as obtaining a median, and that any mathematical approach for estimating these angular offsets due to misalignment of transducers AOA


O


and AOA


I


could be utilized under the teachings of the present invention.




Once the determination of the peak


1320


in FIG.


13


(


b


) (i.e., maximum slope


1350


in FIG.


13


(


a


)) has been estimated to arrive at time T


P


, then the effects of AO and speed S also are estimated. The predetermined ranges (i.e., selection criteria) assume that these axles steer properly with small angles of attack have small lateral forces. The inverse assumption (i.e., small lateral forces have small angles of attack) is implied, but not necessarily true since small weights or low friction can reduce lateral forces even in the presence of high angles of attack. However, the method of the present invention selects the wheels with small lateral forces and estimates what a zero angle of attack is in terms of time delay so as to arrive at an average AO value due to misalignment of AOA


O


and AOA


I


on the rails whether the misalignment is static, dynamic, or both. The average AO value is then used for the entire train.




In summary, a method for measuring the dynamic angle of attack for the leading and trailing sets of wheels in trucks of rail vehicles has been disclosed. Under the preferred embodiments the raw angles of attack for all sets of wheels are determined in stage


960


. The method


970


then selects only those raw angles of attack for trucks on the track within a measured predetermined range (or value) of lateral to vertical force ratios. The selected trucks are trucks properly steering on the track. The method then calculates a dynamic angular offset value based on the selected raw angles of attack. The method


980


then subtracts the offset value from the raw angles of attack for all sets of wheels to arrive at a dynamic angle of attack for each wheel set.




It is to be expressly understood that while the above discussion has been directed towards rail cars that have four axles, that the teachings of the present invention would apply to locomotives that have six axles or even to other types of vehicles having wheels on track.




The above disclosure sets forth a number of embodiments of the present invention. Those skilled in this art will however appreciate that other arrangements or embodiments, not precisely set forth, could be practiced under the teachings of the present invention and that the scope of this invention should only be limited by the scope of the following claims.



Claims
  • 1. A method for measuring the angle of attack in a set of wheels on track, said method comprising the steps of:obtaining angle of attack time sampled data for each wheel in the set of wheels, taking a derivative of each time sampled data for each wheel, locating the peaks in the derivative of each time sampled data, determining an angle of attack value based on said located peaks.
  • 2. The method of claim 1 wherein the step of obtaining angle of attack sampled data further includes the steps of:sensing outside angle of attack forces at a predetermined time sample rate at a first point on an outside rail of the track, sensing inside angle of attack forces at the predetermined time sample rate at a second point on an inside rail of the track, the inside point and the outside point located on a line perpendicular to a line tangent to the outside rail.
  • 3. The method of claim 1 wherein the step of locating a time of each of the peaks includes the step of selecting time sampled data within a predetermined window about each of the peaks.
  • 4. The method of claim 3 wherein the step of locating the peaks uses a polynomial fit process on the time sampled data within each predetermined window.
  • 5. A method for measuring the angle of attack in a set of wheels on track, said method comprising the steps of:obtaining angle of attack time sampled data for each wheel in the set of wheels, taking a derivative of each time sampled data for each wheel, locating the peaks in the derivative of each time sampled data, selecting time sampled data within a predetermined window about each of said peaks calculating the time of each located peak in each predetermined window based on the selected time sampled data, determining an angle of attack value based on the determined times of the located peaks.
  • 6. The method of claim 5 wherein the step of calculating uses a polynomial fit process.
  • 7. A method for measuring the dynamic angle of attack for the leading and trailing sets of wheels in trucks of rail vehicles on track, said method comprising the steps of:determining raw angles of attack for all sets of wheels, selecting only those raw angles of attack from the aforesaid step that have trucks on the track within a predetermined range of lateral to vertical force ratios wherein the selected trucks are properly steering trucks, calculating a dynamic angular offset value based on the selected raw angles of attack of the properly steering trucks, subtracting the calculated dynamic angular offset value from the raw angles of attack determined for all sets of wheels to arrive at a dynamic angle of attack for each wheel set.
  • 8. The method of claim 7 wherein the step of determining raw angles of attack further includes the steps of:at a first point on the outside rail of the track measuring an outside angle of attack value with a first angle of attack sensor for each outside wheel at the time when the outside wheel passes directly over a first point, at a second point on the inside rail of the track measuring an inside angle of attack value with a second angle of attack sensor for each inside wheel at the time each inside wheel passes directly over a second point, the second point located on a line perpendicular to a line tangent to the outside rail at the first point, measuring the speed of each set of wheels, determining a raw angle of attack for each set of wheels based on the speed and the outside and inside angle of attack values.
  • 9. The method of claim 8 wherein the times when the outside wheel passes directly over the first point and when the inside wheel passes directly over the second point are determined by:taking a derivative of time sampled data from the corresponding angle of attack sensor, locating a peak time of the derivative in a predetermined window of time sampled data to obtain an angle of attack value at said peak time.
  • 10. The method of claim 9 wherein the step of locating a peak uses a polynomial fit process.
  • 11. The method of claim 7 wherein the step of selecting includes the steps of:at a point on the outside rail of the track measuring (1) vertical force with a first vertical strain gage, and (2) lateral force with a first lateral strain gage, determining a ratio between the measured lateral force and the measured vertical force at the point for the outside wheel of each leading set of wheels in each truck, determining whether the ratio is within a predetermined range and, if so, averaging the raw angles of attack for the trailing wheel connected to the leading wheel with all other trailing wheel raw angles of attack that have corresponding ratios within the predetermined range to obtain an average angular offset value.
  • 12. The method of claim 11 wherein the predetermined range is less than 0.1.
  • 13. The method of claim 12 wherein the predetermined range also includes when the ratio is between 0.1 and 0.17 and the ratio for trailing wheel divided by the ratio of the leading wheel is less than 0.5.
  • 14. A method for measuring the angle of attack for a set of wheels traveling over track having outside and inside rails, the method comprising the steps of:at a first point on the outside rail of the track measuring (1) vertical force with a first vertical sensor, (2) lateral force with a first lateral sensor and (3) an outside angle of attack value with a first angle of attack sensor for the outside wheel at the time when the outside wheel passes directly over the first point, at a second point on the inside rail of the track measuring (1) vertical force with a second vertical sensor, (2) the lateral force with a second lateral sensor and (3) an inside angle of attack value with a second angle of attack sensor for the inside wheel at the time the inside wheel passes directly over the second point, the second point located on a line perpendicular to a line tangent to the outside rail at the first point, measuring the speed of each set of wheels, determining a raw angle of attack for the set of wheels based on the speed and the outside and inside angle of attack values, determining a ratio between the measured lateral force and the measured vertical force at the first point for the outside wheel, determining whether the ratio is within a predetermined range and, if so, averaging the raw angle of attack with all other raw angles of attack that have corresponding ratios within the predetermined range for other sets of wheels to obtain an average angular offset value, calculating a dynamic angle of attack for the set of wheels by subtracting the average angular offset value from each raw angle of attack to obtain a dynamic angle of attack value for the set of wheels.
  • 15. The method of claim 14 wherein the times when the outside wheel passes directly over the first point and when the inside wheel passes directly over the second point are determined by:taking a derivative of time sampled data from the corresponding angle of attack strain gage, locating a peak time of the derivative so as to obtain an angle of attack value at said peak time.
  • 16. The method of claim 15 wherein the step of locating a peak time uses a polynomial fit process.
  • 17. A method for measuring the angle of attack for the leading and trailing sets of wheels in trucks of rail vehicles traveling over track having outside and inside rails, the method comprising the steps of:at a first point on the outside rail of the track measuring (1) vertical force with a first vertical sensor, (2) lateral force with a first lateral sensor and (3) an outside angle of attack value with a first angle of attack sensor for each outside wheel at the time when the outside wheel passes directly over the first point, at a second point on the inside rail of the track measuring (1) vertical force with a second vertical sensor, (2) the lateral force with a second lateral sensor and (3) an inside angle of attack value with a second angle of attack sensor for each inside wheel at the time each inside wheel passes directly over the second point, the second point located on a line perpendicular to a line tangent to the outside rail at the first point, measuring the speed of each set of wheels, determining a raw angle of attack for each set of wheels based on the speed and the outside and inside angle of attack values, determining a ratio between the measured lateral force and the measured vertical force at the first point for the outside wheel of each leading set of wheels in each truck, determining whether the ratio is within a predetermined range and, if so, averaging the raw angles of attack for the trailing wheel connected to the leading wheel with all other trailing wheel raw angles of attack that have corresponding ratios within the predetermined range to obtain an average angular offset value, calculating a dynamic angle of attack for each set of wheels by subtracting the average angular offset value from each raw angle of attack to obtain a dynamic angle of attack value for each set of wheels.
  • 18. The method of claim 17 wherein the predetermined range is less than 0.1.
  • 19. The method of claim 18 wherein the predetermined range also includes when the ratio is between 0.1 and 0.17 and the ratio for trailing wheel divided by the ratio of the leading wheel is less than 0.5.
US Referenced Citations (3)
Number Name Date Kind
5368260 Izbinsky et al. Nov 1994 A
5492002 Higgins et al. Feb 1996 A
6227122 Spencer May 2001 B1
Non-Patent Literature Citations (3)
Entry
Kalker, Review of Wheel-Rail Rolling Contact Theories, The General Problem of Rolling Contact The American Society of Mechanical Engineers (pp. 77-92) Month/Year are not available.
Otter and Martin, Rugged Transducers for Measurement of Angle of Attack and Lateral Railhead Displacement, Technology Digest, Aug., 1992 (4 pages).
Mace et al., New Vehicle Mounted Angle of Attack Measurement System, Technology Digest, Feb. 1995 (4 pages).