Information
-
Patent Grant
-
6705079
-
Patent Number
6,705,079
-
Date Filed
Wednesday, September 25, 200222 years ago
-
Date Issued
Tuesday, March 16, 200420 years ago
-
Inventors
-
Original Assignees
-
Examiners
- Look; Edward K.
- Leslie; Michael
Agents
- Haas; George E.
- Quarles & Brady LLP
-
CPC
-
US Classifications
Field of Search
-
International Classifications
-
Abstract
When a swinging boom driven by a hydraulic cylinder stops, inertia causes continued motion of the boom which increases pressure in a chamber of the hydraulic cylinder. Eventually that pressure reaches a level which causes the boom to reverse direction. Then pressure in an opposite cylinder chamber increases until reaching a level that causes the boom movement to reverse again. This oscillation continues until the motion is dampened by other forces acting on the boom. As a result, an operator has difficulty in properly positioning the boom. To reduce this oscillating effect, a sensor detects when the cylinder chamber pressure increases above a given magnitude and then a determination is made when the rate of change of that pressure is less than a defined threshold. Upon that occurrence, a control value is opened to relieve the pressure in that cylinder chamber.
Description
CROSS-REFERENCE TO RELATED APPLICATIONS
Not Applicable
STATEMENT REGARDING FEDERALLY SPONSORED RESEARCH OR DEVELOPMENT
Not Applicable
BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates to hydraulically powered equipment, such as off-road construction and agricultural vehicles, and more particularly to apparatus for reducing bounce when a hydraulically driven member on the equipment is stopped suddenly.
2. Description of the Related Art
With reference to
FIG. 1
, a backhoe
10
is a common type of earth moving equipment that has a bucket
12
attached to the end of an arm
14
which in turn is coupled by a boom
15
to the frame of a tractor
18
. A joint
16
enables the bucket, arm, and boom assembly
17
to pivot left and right with respect to the rear end of the tractor. A hydraulic cylinder
19
is attached on one side of the tractor
18
to the boom
15
and provides the drive force for the pivoting motion. For larger backhoes, a pair of hydraulic cylinders are attached on opposite sides of the tractor
18
to pivot the boom. Hydraulic fluid is supplied to the cylinder
19
through valves that are manipulated by the backhoe operator. This movement of the boom
15
is referred to as “swing” or “slew”.
As the boom swings, pressurized fluid is introduced into one chamber of the cylinder
19
, referred to as the “driving chamber”, and fluid is exhausted from the other cylinder chamber, referred to as the “exhausting chamber”. When the operator suddenly stops the boom swing, inertia causes the motion of the backhoe assembly
17
to continue in the direction of the swing. The amount of inertia is a function of the mass of the backhoe assembly
17
and any material carried in the bucket
12
. This continued movement after the control valves have been shut compresses the hydraulic fluid in the previous exhausting chamber of the cylinder
19
and may produce a void, or cavitation, in the previous driving cylinder chamber. Anti cavitation valves typically are provided in the hydraulic system to overcome this latter problem.
Eventually the backhoe assembly
17
stops and starts moving in the opposite swing direction due to the relatively high pressure created in the previous exhausting chamber. This subsequent movement produces a reversal of the pressure conditions, wherein the previous driving chamber of the boom swing cylinder
19
becomes pressurized. As a result, the backhoe assembly
17
swing oscillates until inherent dampening provided by other forces eventually brings the assembly to a stop. This phenomenon is known either as “swing bounce” or “swing wag” and increases the time required to properly position the boom
15
, thereby adversely affecting equipment productivity.
Various approaches have been utilized to minimize the swing bounce. For example, U.S. Pat. No. 4,757,685 employs a separate relief valve for each hydraulic line connected to the swing cylinder, which valves vent fluid to a tank line when excessive pressure occurs in that cylinder. Additional fluid is supplied from the supply line through makeup valves to minimize voids in the cylinder as the swing stops.
U.S. Pat. No. 5,025,626 describes a cushioned swing circuit which also has relief and make-up valves connected to the hydraulic lines for the boom swing cylinder. This circuit also incorporates a cushion valve which in an open position provides a fluid path between the cylinder hydraulic lines. That path includes a flow restriction orifice. The cushion valve is resiliently biased into the shut position by a spring and a mechanism opens the cushion valve for a predetermined time period when the pressure differential between the cylinder chambers exceeds a given threshold.
Both of the previous circuits required a number of relatively complex valves. Therefore, it is desirable to provide a more simplified mechanism for reducing swing bounce.
SUMMARY OF THE INVENTION
A hydraulic system includes a control valve assembly, which selectively couples a pump and a tank to a hydraulic actuator that drives a member on a machine. The system has a device which produces a command designating desired movement of the load. A sensor detects pressure in the hydraulic actuator.
A method is provided to reduce bounce of the member when it stops. A command is received from the device designating that movement of the member in a given direction is to stop. The signal from the sensor is employed to determine the rate at which the pressure in the hydraulic actuator changes. When the rate of change of the pressure is less than a defined threshold after receiving the command, pressure in the hydraulic actuator is relieved. For example the pressure is relieved by opening a control valve that is connected to the hydraulic actuator.
In one application, the present bounce reduction method is used on a machine in which the member is driven by a cylinder that has first and second chambers. It is a well-known practice that this type of installation includes first and second pressure relief valves that are respectively connected to the first and second cylinder chambers. Thus upon receiving the command, pressure in the second chamber is relieved by opening an associated control valve. Then a determination is made whether the first pressure relief valve is open due to excessive pressure in the first chamber. If the first pressure relief valve is found to be open, the bounce reduction method waits for that valve to close, and thereafter opens another control valve that relieves pressure remaining in the first chamber. Otherwise if the first pressure relief valve is found to be closed, the rate of pressure change in the first chamber is determined, and pressure in the first chamber is relieved by opening the other control valve when the rate of pressure change is less than a defined threshold.
BRIEF DESCRIPTION OF THE DRAWINGS
FIG. 1
is a side view of a backhoe incorporating the present invention;
FIG. 2
is a schematic diagram of a hydraulic circuit for the swing function of the backhoe boom;
FIG. 3
is a block diagram of the microcomputer controller in
FIG. 2
;
FIG. 4
is a state diagram depicting operation of a swing bounce reduction routine that is executed by the controller;
FIG. 5A
graphically depicts pressure changes in a chamber of the hydraulic cylinder that swings the backhoe assembly; and
FIG. 5B
is a graph of the slope of the changing pressure in FIG.
5
A.
DETAILED DESCRIPTION OF THE INVENTION
With reference to
FIG. 2
, a hydraulic circuit
20
for the backhoe
10
has a pump
2
which forces fluid from a tank
24
into a supply line
26
. A conventional system pressure relief valve
28
opens in the event that the pump pressure exceeds a given safety threshold, thereby relieving that pressurized fluid to the tank
24
via the tank return line
29
.
The supply line
26
and tank return line
29
are connected to a plurality of functions on the backhoe tractor
10
. The hydraulic circuit for the boom swing function is shown in detail in
FIG. 2. A
valve assembly
30
of four solenoid operated, directional control valves
31
-
34
selectively couples the supply line
26
and tank return line
29
to a pair of actuator conduits
35
and
36
which lead to ports of a hydraulic actuator, such as a cylinder
19
, that swings the boom
15
. Specifically, the supply line
26
is connected by the first directional control valve
31
to the first actuator conduit
35
and by the second directional control valve
32
to the second actuator conduit
36
. The tank return line
29
is coupled by the third directional control valve
33
to the first actuator conduit
35
and by the fourth directional control valve
34
to the second actuator conduit
36
. For example, the valve described in U.S. Pat. No. 6,328,275 may be used in valve assembly
30
. However, other types of valves may be utilized to implement the present inventive concept. The four directional control valves
31
-
34
are illustrated in the closed, or shut, position in which the actuator conduits
35
and
36
are disconnected from the pump and tank return lines
26
and
29
. The first and second actuator conduits
35
and
36
also are designated by the letters A and B, respectively and the pressures in the actuator conduits (and the associated cylinder chamber) are designated Pa and Pb.
In the exemplary hydraulic circuit
20
, the first actuator conduit
35
is connected to the head chamber
42
of the boom cylinder
19
and the second actuator conduit
36
is connected to the cylinder's rod chamber
40
. Depending upon which specific ones of the four directional control valves
31
-
34
are activated, hydraulic fluid from the pump
22
is sent to one of the actuator conduits
35
or
36
and the other actuator conduit
36
or
35
is connected to the tank return line
29
. Thus by opening either a combination of the first and fourth directional control valve
31
and
34
or the second and third directional control valves
32
and
33
, the cylinder
19
is driven to extend or retract its piston rod
44
and thus move the backhoe boom
15
right or left. Although the present invention is being described in terms of operating a hydraulic cylinder, it should be understood that the novel concepts can be used with other types of hydraulic actuators, such as a hydraulic motor with a rotating shaft.
A first pressure relief valve
37
is connected to the first actuator conduit
35
to relieve excessive high pressure that may occur in the head chamber
42
. Similarly, a second pressure relief valve
39
is connected to the second actuator conduit
36
. These pressure relief valves
37
and
39
have a conventional design and are set to open at a significantly high pressure threshold. However, if a very heavy load is being carried in the bucket
12
when the boom
15
stops swinging, the pressure in a cylinder chamber due to the inertial load may exceed that threshold causing the associated pressure relief valve to open, as will be described. A pressure relief valve
37
or
39
opens when the pressure Pa or Pb in the respective actuator conduit
35
or
36
exceeds the pressure in the return line
29
plus a relief threshold, determined by force from a valve spring.
Pressure sensors are provided throughout the hydraulic circuit
20
. Specifically, a first sensor
46
measures pressure in the supply line
26
and a second sensor
47
is located in the tank return line
29
. Third and fourth pressure sensors
48
and
49
are provided in the first and second actuator conduits
35
and
36
, respectively, and produce electrical signals indicating the pressure within the cylinder chambers
42
and
40
to which those actuator conduits are connected. The electrical signals from the four pressure sensors
46
-
49
are applied to inputs of an electronic controller
50
. The controller
50
also receives input signals from an operator input device, such as a joystick
52
. As will be described, the controller
50
responds to these input signals by producing output signals which activate the solenoids of the four directional control valves
31
-
34
to operate the swing function of the backhoe assembly
17
.
Referring to
FIG. 3
, the controller
50
incorporates a microcomputer
54
which is connected by a set of buses
55
to a memory
56
in which the programs and data for execution by the microcomputer are stored. The set of buses
55
also connect input circuits
57
and output circuits
58
to the microcomputer
54
. Each input circuit
57
for the pressure sensors
46
-
49
includes a first order, low-pass filter which attenuates frequencies above 100 Hz. This filtering removes any noise that might be present on the pressure sensor signals applied to the controller
50
. The output circuits
58
provide signals to devices that indicate the status of the hydraulic system
20
to the backhoe operator. A set of valve drivers
59
controls the application of electricity to the solenoid coils in the four directional control valves
31
-
34
. As will be described, the controller
50
executes software which implements a control algorithm for swinging the backhoe boom
15
.
When the backhoe operator activates the joystick
52
to swing the boom
15
to the right or left, the signal generated by the joystick causes the controller
50
to begin executing a boom swing software routine that is stored in the memory
56
. This routine controls selected ones of the four directional control valves
31
-
34
necessary to produce the indicated movement of the boom. On each execution pass through the control software for the backhoe
10
, another routine is executed which detects when the boom swing is stopping and takes action to counter any significant bounce that may occur.
With reference to FIG.
2
and the state diagram of
FIG. 4
, the swing bounce reduction routine
60
commences at State
62
at which the routine remains when the boom is not swinging. In this State
62
, the controller periodically tests to determine whether the boom is moving and if so, in which direction. To do so, the controller
50
examines the velocity command produced from the joystick signal. In the exemplary hydraulic system
20
, a velocity command that is greater than zero indicates that the piston rod
44
is being extended from the cylinder
19
, whereas a negative velocity command indicates that the piston rod is retracting into the cylinder. Assume initially that the velocity command is greater than zero, in which case a transition occurs from the Direction Test State
62
to the Swing Commanded State
64
.
The operation of the swing bounce reduction routine
60
remains in this swing commanded State
64
until the operator manipulates the joystick
52
to indicate the boom is either stop or move in the opposite direction. That indication from the operator produces a new velocity command from the joystick which is either zero ora negative value in this situation. That change in the velocity command is detected at State
64
and produces a transition to State
66
. If the velocity command now is zero, the routine for controlling the valve assembly
30
will close all four directional control valves
31
-
34
.
The valve closure causes pressure within the rod chamber
40
, from which fluid was previously being exhausted, to build up as the rod continues to extend from the cylinder due to the inertia load of the backhoe assembly
17
. In addition, a significant pressure remains momentarily in the head chamber
42
, which aids continued extension of the piston rod
44
. Therefore upon entry into State
66
, the swing bounce reduction routine
60
causes the third directional control valve
33
to open so that the pressure is relieved from the head chamber
42
to the tank return line
29
. This initial pressure relief ensures that the pressure within the head chamber does not contribute to the continued motion of the backhoe assembly
17
.
While the swing bounce reduction routine
60
is in State
66
, the controller
50
periodically compares the absolute value of the velocity command to a velocity threshold. When the velocity command exceeds that threshold, the operator is again commanding motion of the backhoe assembly
17
in either direction. In that case, boom swing bounce is not a concern and a transition is made back to the Direction Test State
62
where the direction of the operator commanded boom motion is determined. This transition to State
62
also occurs when the operation remains in State
66
for more than 500 milliseconds. After remaining in State
66
for 180 milliseconds, the controller
50
Begins comparing the pressure level Pb in the rod chamber
40
to a first threshold level (THRESHOLD
1
) to determine whether the pressure within the previous exhausting cylinder chamber has build up to a significant level indicating that a bounce is likely to occur when the boom motion stops. The 180 millisecond delay prevents a pressure aberrations, which can occur momentarily when a directional control valve closes, from producing a state transition. Therefore, after the 180 milliseconds delay, if the pressure Pb within the rod chamber
40
exceeds the first pressure threshold a transition occurs to State
68
.
At State
68
the controller
50
determines when to initiate a pressure relief operation to prevent rebounding of the backhoe assembly
17
. In order to understand how the present swing bounce reduction routine
60
make that determination, reference is made to
FIG. 5A
which graphically depicts pressure change within the rod chamber
40
following closure of the valves when the piston rod
44
is being extended. Initially that pressure rises until the motion of the boom
15
stops at time T
1
, after which the pressure Pb decreases as the boom moves in the opposite direction. The swing bounce reduction routine
60
makes one of two transitions from State
68
depending on whether the pressure rises to a level that causes the second pressure relief valve
39
to open. That event is indicated by pressure Pb in the second actuator conduit
36
exceeding the valve's constant relief threshold plus the pressure Pr in the return line
29
, as represented by the input signal from sensor
47
.
While the second pressure relief valve
39
remains closed, the swing bounce reduction routine
60
at State
68
uses the rate of change of the pressure Pb to determine when to open the fourth direction control valve
34
to relieve that pressure and prevent rebound of the backhoe assembly
17
. If that control valve is opened too soon, sufficient pressure will not build up in the rod chamber
40
to significantly slow the piston rod
44
and the attached backhoe assembly
17
. In that situation, inertia may cause the boom assembly
17
to continue swinging until striking a stop at one end of the pivot joint
16
. Conversely, if the valve is not opened soon enough, the pressure will not be relieved in time to prevent rebound of the piston and bounce of the backhoe assembly
17
. The rate of change of the pressure Pb in the second actuator conduit
36
is employed as an indicator of when the backhoe assembly
17
has slowed enough that the pressure can be relieved in time to prevent boom bounce. The rate of change corresponds to the slope of the pressure curve in FIG.
5
A and is given mathematically by the derivative of the pressure which is plotted on the graph of FIG.
5
B.
Thus, the controller
50
employs the input signal from pressure sensor
49
at State
68
to determine the derivative (dPb/dt) of the pressure Pb in the second actuator conduit
36
. The derivative value is checked to determine whether it is less than a second threshold (THRESHOLD
2
), indicated by a dotted line, which occurs as the rate of pressure change decreases just prior to the point
67
of maximum pressure. This condition indicates that the hydraulic actuator and the boom assembly attached thereto have slowed a given amount. When this condition exists while the second pressure relief valve
39
is closed (i.e. pressure Pb is less than the relief threshold plus the return line pressure Pr), a transition is made from State
68
to State
70
.
The preferred embodiment of the swing bounce reduction routine
60
employs the rate of pressure change to determine when the hydraulic actuator and the boom assembly have slowed to a point at which action to reduce bounce can be taken. However, other methods for making that determination can be used instead, For example, a sensor can provide a signal indicating the swing position of the boom and the rate of position change used to determine when to implement bounce reduction. A velocity sensor or an accelerometer alternatively could be employed to detect when motion of the hydraulic actuator or the boom assembly has slowed to the point at which bounce reduction can be implemented.
At State
70
, the controller
50
opens the fourth directional control valve
34
to relieve the pressure in the rod chamber
40
of cylinder
19
to the tank
24
via the return line
29
. This prevents the pressure which has previously built up by the continued extension of the piston rod
44
from causing the piston rod to bounce back in the opposite direction. The fourth directional control valve
34
remains open for a fixed period of time (e.g. 40 milliseconds) after which the control valve is closed and a transition returns the swing bounce reduction routine to the Direction Test State
62
.
However, if a determination is made at State
68
that the second pressure relief valve
39
has opened, i.e. pressure Pb exceeds that valve's relief threshold plus the pressure Pr within the tank return line
29
, a transition occurs to State
72
. Because opening of the second pressure relief valve
39
provides a path which relieves pressure from the rod chamber
40
, the swing bounce reduction routine
60
remains in State
72
until a closure of the second pressure relief valve
39
is detected. That closure is indicated by a the pressure Pb within the second actuator conduit
36
decreasing below the relief threshold plus the pressure in the tank return line
29
, or by a pressure drop in the second actuator conduit
36
accompanied by a pressure increase in the first actuator conduit
35
as transpires when the piston rod
44
rebounds and moves in the opposite direction. When either of these conditions occurs, the swing bounce reduction routine
60
makes a transition from State
72
to State
74
.
The controller
50
in State
74
opens the fourth directional control valve
34
to relieve any residual pressure within the rod chamber
40
for a predefined period (e.g. 30 milliseconds) after which the fourth directional control valve is closed. This action relieves the pressure within the cylinder
19
due to the inertial motion of the backhoe assembly
17
thereby preventing rebound of the piston and bounce of the backhoe boom
15
. The swing bounce reduction routine
60
remains in State
74
for a total of 500 milliseconds after which a transition occurs back to the Direction Test State
62
.
While in State
62
, when the operator desires that the boom
15
swing in the opposite direction, as indicated by the joystick
52
producing a negative velocity command, a transition is made to State
76
. State
76
is the reciprocal of State
74
and operation of the anti-bounce routine is similar thereto with the understanding that the boom
15
is moving in the opposite direction. Therefore, when the velocity command is zero or greater, as occurs when the operator intends to stop the boom or reverse its direction, another transition occurs to State
74
. Because in this mode of operation the piston rod
44
is retracting into the cylinder
19
, pressurized fluid from the pump
22
was previously applied to the rod chamber
40
. Therefore at State
74
, the fourth direction control valve is opened by the controller
50
to relieve that pressure Pb so that it does not contribute to the continued motion of the boom
15
. Operation at this time is similar to that which occurred at State
66
when motion in the opposite direction was stopping. Therefore, under similar transition conditions, if the operator's movement of the joystick produces a new velocity command or 500 milliseconds have elapsed, a transition occurs back to the Direction Test State
62
. Otherwise, the swing bounce reduction routine
60
eventually makes a transition to State
78
.
In State
78
, if the first pressure relief valve
37
is not detected as opened, the anti-bounce routine enters State
80
where the pressure in the head chamber is relieved by opening the third directional control valve
33
. Thereafter, the operation returns to the Direction Test State
62
. Otherwise, when the pressure Pa in the head chamber
42
is great enough to open the first pressure relief valve
37
, a transition occurs to State
82
where the operation remains until the relief valve closure is detected. At that time, operation moves into State
66
where residual pressure within the head chamber
42
is relieved by opening the third direction control valve
33
for a predefined period before transitioning back to the Direction Test State
62
.
The foregoing description was primarily directed to a preferred embodiment of the invention. Although some attention was given to various alternatives within the scope of the invention, it is anticipated that one skilled in the art will likely realize additional alternatives that are now apparent from disclosure of that embodiment. For example, although the invention has been described in the context of reducing swing bounce of a backhoe assembly, the novel technique can be applied to other types of motion by a variety of machine members. Accordingly, the scope of the invention should be determined from the following claims and not limited by the above description.
Claims
- 1. A method for controlling movement of a member that is driven by a hydraulic actuator connected to a valve assembly through which fluid flows, the method comprising:receiving a command designating that movement of the member in a given direction is to stop; sensing a parameter which varies with movement of the member; employing the parameter to determine when movement of the member has slowed to a defined speed and in response thereto producing an indication; and in response to the indication and to receiving the command, relieving pressure in the hydraulic actuator.
- 2. The method as recited in claim 1 wherein:sensing a parameter comprises sensing pressure occurring in the hydraulic actuator; and employing the parameter comprises determining a rate at which the pressure changes and producing the indication when the rate is less than a defined threshold.
- 3. The method as recited in claim 1 wherein employing the parameter comprises determining a rate at which the parameter changes and producing the indication when the rate has a defined value.
- 4. The method as recited in claim 1 wherein relieving pressure in the hydraulic actuator comprises opening a control valve.
- 5. The method as recited in claim 1 wherein relieving pressure in the hydraulic actuator is further in response to the pressure in the hydraulic actuator being greater than a threshold value.
- 6. The method as recited in claim 1 further comprising:determining whether a pressure relief valve connected to the hydraulic actuator is closed; and wherein relieving pressure in the hydraulic actuator occurs in response to the hydraulic actuator being closed.
- 7. The method as recited in claim 6 wherein determining whether the pressure relief valve is closed is based on comparing pressure in the hydraulic actuator to a defined pressure level.
- 8. The method as recited in claim 6 further comprising when the pressure relief valve is determined not to be closed, opening a valve in the valve assembly.
- 9. The method as recited in claim 1 further comprising:determining whether a pressure relief valve connected to the hydraulic actuator is open after receiving the command; after determining that the pressure relief valve is open, detecting closure of the pressure relief valve; and upon detecting closure of the pressure relief valve, opening a control valve that relieves pressure remaining in the hydraulic actuator.
- 10. The method as recited in claim 9 wherein detecting closure of the pressure relief valve comprises detecting when pressure in the hydraulic actuator decreases below a given level.
- 11. A method for controlling movement of a member that is driven by a hydraulic actuator having a first chamber and a second chamber, the method comprising:receiving a command designating that movement of the member in a given direction is to stop; sensing pressure in the first chamber; determining a rate at which the pressure in the first chamber changes; and after receiving the command, relieving pressure in the first chamber in response to the rate of change of the pressure being less than a defined threshold.
- 12. The method as recited in claim 11 wherein relieving pressure in the first chamber occurs only after pressure in the first chamber exceeded a defined threshold.
- 13. The method as recited in claim 11 wherein relieving pressure comprises, for a given period of time, opening a control valve connected to the first chamber.
- 14. The method as recited in claim 11 further comprising relieving pressure in the second chamber in response to receiving the command.
- 15. The method as recited in claim 14 wherein relieving pressure in the second chamber comprises opening a control valve for a defined period of time.
- 16. A method for controlling movement of a member that is driven by a hydraulic actuator having a first chamber and a second chamber, the method comprising:receiving a command designating that movement of the member in a given direction is to stop; sensing pressure in the first chamber; determining whether a pressure relief valve connected to the first chamber is open or closed; and after receiving the command: (a) if the pressure relief valve is open, determining when the pressure relief valve closes and thereafter relieving pressure remaining in the first chamber, and (b) if the pressure relief valve is closed, determining a rate of change of the pressure in the first chamber, and relieving that pressure in response to the rate of change being less than a defined threshold.
- 17. The method as recited in claim 16 further comprising relieving pressure in the second chamber in response to receiving the command.
- 18. The method as recited in claim 17 wherein relieving pressure in the first chamber comprises opening a first control valve, and relieving pressure in the second chamber comprises opening a second control valve.
- 19. The method as recited in claim 16 wherein determining whether the pressure relief valve is open comprises determining whether the pressure in the first chamber is greater than a given pressure level.
- 20. The method as recited in claim 16 wherein determining when the pressure relief valve closes comprises detecting when pressure within the first chamber decreases below a given pressure level.
- 21. The method as recited in claim 16 wherein determining when the pressure relief valve closes comprises detecting when pressure in the first chamber decreases and pressure in the second chamber increases.
US Referenced Citations (14)