The present invention relates to vibration isolation systems that incorporate compressible fluid springs only in lieu of systems that include combinations of pneumatic, mechanical, and hydraulic spring and damper components. This application provides a purely pneumatic suspension system structure containing multiple degrees of design freedom in the form of natural frequency and damping variables for robust suspension system design for a broad range of suspension applications.
Vibration isolation systems for suspension applications typically incorporate combinations of pneumatic, mechanical, and hydraulic components. These components, in combination, must provide a suspension system function that controls a suspended mass dynamic state with position, natural frequency, and damping characteristics necessary for optimal performance.
Exemplary patents of various suspension systems that incorporate pneumatic components include the following patents and patent applications:
U.S. Pat. No. 3,822,908 issued on Jul. 9, 1974, to Rene Gourand describing a suspension system using single or dual air bags having a tapered cross section. The air bags are pressured by an air pump.
U.S. Pat. No. 4,415,179 issued on Nov. 15, 1983, to Joseph A. Marinelli describes an axle and air bag suspension comprising an air spring in conjunction with a front-to-rear trailing mechanism.
U.S. Pat. No. 4,497,078 issued on Feb. 5, 1985, to Jerald M. Vogel et al. describes a purely pneumatic, three-degree-of-freedom isolation system for a sleeper bunk in a truck. The system incorporates three air springs, each with an accumulator for setting natural frequency, and a directional orifice positioned between the air spring and corresponding accumulator that provides two natural frequency settings for each degree of isolation freedom.
U.S. Pat. No. 4,733,876 issued on Mar. 29, 1988, to Merle J. Heider et al. describes a leaf spring supplemented with a pressure controllable air bag supplying variable spring adjustment, variable ride height, and leveling control of an RV.
U.S. Pat. No. 4,923,210 issued on May 8, 1990, to Merle J. Heider et al. describes a leaf spring in conjunction with an air spring for vehicle leveling function. A pneumatic controller directs the air spring state.
U.S. Pat. No. 5,083,812 issued on Jan. 28, 1992, to Donovan B. Wallace et al. describes an air spring suspension for a vehicle for preventing vehicle roll motions.
U.S. Pat. No. 5,265,907 issued on Nov. 30, 1993, to Ray Tostado describes a bolt on auxiliary air spring suspension that assists a factory suspension.
U.S. Pat. No. 5,346,246 issued on Sep. 13, 1994, to Cecil Lander et al. describes an air spring suspension system controller for setting spring rates in conjunction with a leaf spring system.
U.S. Pat. No. 5,584,497 issued on Dec. 17, 1996, to Cecil Lander et al. describes an air spring controller for automatic adjustment of spring rates on a coupled pneumatic/mechanical leaf spring system.
U.S. Pat. No. 5,765,859 issued on Jun. 16, 1998, to Corbett W. Nowell et al. describes a kneeling wheeled suspension system utilizing air springs for lowering truck trailer decks.
U.S. Pat. No. 5,908,198 issued on Jun. 1, 1999, to Ervin K. VanDenberg describes a center beam and air spring suspension system mounted to a suspension frame and providing varying spring rate capabilities.
U.S. Pat. No. 5,988,672 issued on Nov. 23, 1999, to Ervin K. VanDenberg describes an air spring suspension system for an axle application having horizontal, vertical, and axial spring rates.
U.S. Patent Application Publication No. US 2004/0061293 A1, issued on Apr. 1, 2004, to James M. Barbison describes an air suspension system for an RV that comprises air springs and mechanical dampers that provide vehicle leveling function, as well as vehicle ride suspension on road traversing.
U.S. Pat. No. 6,725,983 B2 issued on Apr. 27, 2004, to Stephen H. Bell describes a shock absorber that provides variable damping based on load conditions of a vehicle. The shock absorber is fluidly coupled with the suspension system air springs. Damping rate is adjusted to levels dictated by air spring pressure.
U.S. Pat. No. 6,733,022 B2 issued on May 11, 2004, to Curtis S. Bradshaw describes a sprint car suspension comprising an air spring in a swing-arm four bar linkage mechanism. The air spring further possesses a non-linear spring rate for keeping the vehicle tires firmly on the ground.
U.S. Patent Application Publication No. US 2004/0178587 A1, issued on Sep. 16, 2004, to Grant W. Hiebert et al. describes an air suspension system for an RV that provides a variable, but discrete, ride quality. Vehicle suspension corner components consist of a pair of air springs connected with an anti-dive valve that allows suspension operation using a single air spring or both, thus yielding two stiffness rates, as needed. A controller and accelerometers are used to trigger the anti-dive valve.
U.S. Patent Application Publication No. US 2005/0098399 A1, issued on May 12, 2005, to Ronald D. Bremner describes an active seat suspension system comprising an air spring with fixed accumulator for providing a natural frequency consistent with good ride quality, variable viscous damper for damping control, and a hydraulic ram system for providing seat height control and canceling base accelerations.
Traditional vibration isolation system used to isolate a suspended mass, m, from potential vibrations consists of a mechanical spring with stiffness k, and a damping mechanism with damping coefficient c (
The dynamic equation of motion for the suspended mass is given by
{umlaut over (x)}+2ζωn({dot over (x)}−ż)+ωn2(x−z)=f(t) (1)
where the damping ratio, ζ, and natural frequency, ωn, are functions of the system parameters c, k, and m. The transfer function for the system is given by
The transmissibility is defined to be the ratio of the g-load generated by the base to the g-load experienced by the suspended mass which can be written as follows:
A complicating factor in the consideration of small natural frequency suspension systems arises from the fact that suspended mass static load deflection is inversely proportional to the spring rate, k. The minimum feasible natural frequency for a suspension isolator is, to a great extent set by suspended mass static deflection demands, thus limiting its transmissibility quality.
In summary, the traditional mechanical spring/damper isolator system is limited to a single design point with performance limitations imposed by other constraints that must be simultaneously satisfied. Isolator performance degrades rapidly as excitation frequencies shift from design point values to near resonance.
It is an object of present invention to provide a system and method for improving isolation of a suspended mass.
It is a feature of the present invention to use a suspension system having a continuously variable natural frequency.
It is another feature of the present invention to use a system with a continuously variable damping ratio.
It is an advantage of the present invention to provide for improved ability to adjust a suspension system.
It is another object of the present invention to provide a suspension system with additional desirable features.
Some embodiments of the claimed invention incorporate air springs in conjunction with variable volume accumulators, controlled sharp-edged orifices, pressure and vacuum sources to generate a robust vibration isolation system with multiple degrees of design freedom available for optimizing vibration isolation environments. Incorporation of computer controllers and dynamic state sensory components for generating feedback information allows designers to develop optimal suspensions over a broad range of applications. Additional features are included as well.
The invention may be more fully understood by reading the following description of the preferred embodiments of the invention, in conjunction with the appended drawings wherein:
A continuously variable natural frequency and damping (CVNFD) system, of the present invention, differs from the traditional isolation system in at least two aspects:
In essence, the isolator can operate at continuously variable specified natural frequency levels to provide an optimal isolation environment for a suspended mass subjected to base excitations.
Consider the CVNFD system diagram per
{umlaut over (x)}+ωo2(t)(x−z)=u(t) (4)
where ωo(t) represents the nominal spring rate and u(t) represents the control input that provides the variable natural frequency to the system. One strives to provide an ωo(t) that will allow the suspended mass to behave in a prescribed fashion. For example, let the prescribed motion be defined by
{umlaut over (x)}+2ZΩn({dot over (x)}−ż)+Ωn2(x−z)=0 (5)
where Ωn and Z represent the desired apparent natural frequency and damping ratio for the isolator. Let the control law in Equation (4) be given by
u(t)=−f(t)(x−z) (6)
where f(t) is the function to be determined. Now from Equations (4), (5), and (6), one can write the following equation which can be used to evaluate desirable f(t)+
{umlaut over (x)}+[ωo2+f(t)](x−z)={umlaut over (x)}+2ζΩn({dot over (x)}−ż)+ωn2(x−z) (7)
Equation (7) can be re-arranged to obtain f(t) as
Note that the user sets the values of Ωn and ξ as per the desired suspended mass response. The sensory devices are incorporated in the isolator design to measure the relative velocity between the suspended mass and the base and the relative position of the suspended mass with respect to the base. The control law can then be used to set the instantaneous value for effective natural frequency of the system.
A simple example given here demonstrates utilization of the isolator concept. Assume that the desired motion of the suspended mass is consistent with that of critically damped motion at a natural frequency of 2π radians per second. Also assume that ωo=0 for convenience. Then the control input can be computed using the following value of f(t):
Furthermore, the closed-loop response of the system is given by
Isolation components based on a fluid medium provide an excellent basis for potential CVNFD applications. These systems fall into two categories: compressible and incompressible fluid mediums; more specifically, air for the compressible case and hydraulic fluid for the incompressible case. Both provide a basis for CVNFD applications, but with broadly varying attributes per following discussion.
Hydraulic isolators can provide a broad range of isolation characteristics but must incorporate a pumping mechanism and related expensive hardware. Moreover, the pumping is needed at all times. Also, hydraulic fluid is heavy and difficult to move in the volume flow rates required for isolation. Pumps required for providing necessary fluid flows tend to be heavy and expensive. In general, hydraulic isolators are not well suited for mobile (non-stationary) systems.
Pneumatic isolators can also provide a broad range of isolation characteristics, and it could also require continuous pumping if it is desired to operate in its highest-performance configuration. In that case, the cost and weight would quickly become detrimental, if not prohibitive, in isolator design. However, unlike hydraulic systems, the pneumatic system can provide a relatively broad range of isolation without a pumping requirement due to the compressibility of air. This reality provides an opportunity to design a broadly performing, inexpensive isolator, the essence of this document.
The Open Loop Isolator System Components:
The components for the pneumatic CVNFD system are carefully chosen to provide a 2-parameter isolation system with wide ranging performance capabilities. The components for one embodiment, the open loop isolator, are described in the following sections.
The air spring is the central component in a pneumatic CVNFD isolation system.
The air spring behaves much the same as a mechanical spring, a fact that can be verified by linearizing the equations that govern air spring transient motions. The sketch on the left side of
The accumulator (
A sharp-edged orifice with continuously variable orifice area is placed in the pneumatic flow tube for air flow control between the air spring and accumulator (
This CVNFD system component is a piston-like mechanism capable of isolating select regions of the accumulator on demand, thus providing a variable accumulator volume system. The primary function for the modulator is to generate a continuously varying natural frequency throughout the range established by accumulator and air spring volumes. The modulator is contained within the walls of the accumulator as depicted in
An air spring design height control valve (
CVNFD System Open Loop Behavior:
Proof of concept for the proposed configuration is made through computational simulations of the system. The following material contains a discussion of the dynamic behavior of the open loop CVNFD system to delineate the robust performance capabilities of the isolator. Results of an in-depth computational simulation of the system are presented showing the broad range of natural frequencies and damping ratios generally available. The natural frequency and damping characteristics as functions of accumulator size and orifice setting are readily defined by solving the governing nonlinear equation of motion for the suspended mass and the equations that govern mass flow rate between the air spring and accumulator.
This system uses two control functions, the instantaneous orifice size and instantaneous accumulator piston position. State dynamics are nonlinear and require numerical integration procedures for solution acquisition. A computational simulation code has been developed, debugged, and is used for simulation studies.
Fixed Accumulator Volume Case
Dynamics were solved numerically for a unit step input of base deflection. An air spring typical of use in seat suspension is used in the CVNFD model. The air spring had a design height and diameter of 3 inches each. A series of computational simulations, each with a different orifice size, was made for the isolator/suspended mass combination in response to a step input of base deflection. Orifice sizes ranged from zero to maximum. Suspended mass transient motion, recorded for each simulation, appeared to consist of combinations of linear motion modes. Simulation data for each case was post-processed to extract estimates of isolator natural frequency, ωn, and damping ratio, ζ as functions of orifice size.
Data for all cases was post-processed to estimate values for natural frequency, ωn, and damping ratio, ζ.
Fixed Orifice Case
Computational simulations similar to the variable orifice study were repeated for a fixed orifice, but variable accumulator volume case to determine the natural frequency variation characteristics for the CVNFD isolator. A series of computational simulations, each with a different accumulator volume, was made for the isolator/suspended mass combination in response to a step input of base deflection. Accumulator volumes ranged from zero to 100 times the air spring volume. Estimates of isolator natural frequency, ωn, and damping ratio, ζ as functions of accumulator volume were extracted.
b depicts natural frequency and damping ratio distributions for the computational solutions cited. The plots show a wide range of natural frequencies available for isolator performance. On the other hand, damping ratio remains near zero for an applicable range of accumulator volumes.
An experimental test to verify the computational simulation results for the CVNFD system was designed and executed. The apparatus incorporated an air spring, suspended mass, accumulator, and orifice system consistent with those used in the computational simulation. System base excitation was provided by an electro-mechanical shaker. Accelerometers placed on the base and suspended mass components were used to measure the transient response for these components. A modern data acquisition/manipulation system was used to excite the shaker, record the input/output signals, and process the data.
Test program components included shaker amplitude sine sweeps over a wide range of frequencies consistent with CVNFD system response sensitivities. The data acquisition/manipulation system provided corresponding bode plots delineating CVNFD response characteristics. Results obtained for a series of orifice settings from closed to fully open (unrestricted flow) are depicted in
The open loop response characteristic for the proposed CVNFD system clearly shows that it is has the potential to provide good isolation for widely varying vibration environments. The range of natural frequencies available through air spring accumulation allows for low-transmissibility isolation. Damping that ranges from very low to near critical values provides the mechanism for arresting unscheduled suspended mass motions. The task that remains, orifice control, is covered in the following section.
The Isolator Control System:
The control system design discussion for the CVNFD will be cast in the context of a quarter vehicle model, an often-used standard for testing vibration isolation systems. Therefore, a tire/carriage mechanism is attached to the base of the CVNFD/suspended mass system discussed earlier per schematic depicted in
A major part of the CVNFD system feasibility study deals with the design of the controller component and the associated control law that governs the behavior of the isolator. Typically, dynamics of the system must be linearized to provide a basis for a modern control synthesis that will ultimately define the control law for best performance. In some cases, the control laws can be derived from nonlinear dynamics directly.
Using rational assumptions for linearization and after some algebra, the linearized equations can be arranged in state space form as shown below
Δ{dot over (x)}=[A]Δx+[Bu]Δa+[Bd]Δd (19)
where matrices. A, Bu, and Bd are functions of system parameters.
All the coefficients in the state-space matrices are constants. The control input to the system is the orifice area Δa, and the disturbance input affecting the system is in the form of the road displacement Δd. Hence, the real-time control system which manipulates the timing and extent of opening and closing of the orifice valve, thereby transferring the air from air spring to accumulator and vice versa becomes the brain behind the active CVNFD system. For stable and high performance behavior of CVNFD device, the control system algorithm has to be designed to account for uncertainties, parametric variations, and nonlinearities in the system. This requires the use of robust control design techniques which can systematically address these issues.
In recent years, researchers have developed control strategies that can effectively damp the vibrations in mechanical systems. These control designs depend on robust control theory and energy dissipation concept. The control system block diagram given in
Passivity-based methods (a special case of dissipative controllers) or so-called energy-based methods work on the principle of energy dissipation and hence, are the most suited for vibration applications. Such controllers do not destabilize the system by exciting the high frequency dynamics while controlling low frequency disturbances. This is because other control methodologies (like LQG or H∞) merely result in a redistribution of the energies over different frequencies (known as the “waterbed effect”). However, passivity-based methods do not seek to redistribute energy; instead they seek to dissipate it. To explain in simple mathematical terms, if V (x) represents the energy function of the system where x is the state of the system, then passivity-based controllers yield the control input u(t) such that the ΔV (x) is always negative definite along the system trajectories implying continuous dissipation of energy. It has been shown that when passivity-based techniques are combined with resonant mode controller designs, the performance of the resulting controller is significantly enhanced. This is especially true for vibratory and acoustic systems which have resonant modes in their dynamics. Such an approach will be ideally suited for the vibration isolation problem where specific natural frequencies will need to be targeted.
Plant performance feedback required by the controller to generate appropriate control function is provided by accelerometers on the suspended mass and base assemblies and a relative displacement transducer, e.g., string potentiometer, placed between the suspended mass and base.
Extended Performance Pneumatic CVNFD Systems:
The quality of performance delivered by the CVNFD system described above is limited by maximum available accumulator and air spring volumes. The combined volumes govern the minimum natural frequency available, and the air spring volume sets the maximum. Additional components are added to enhance CVNFD system stiffness characteristics per following discussions.
The natural frequency (stiffness) range of the CVNFD system can be enhanced by adding two components to the system. The first component is a high pressure source consisting of an air pump and pressure tank. The second component contains a vacuum pump and vacuum tank (
CVNFD stiffness is increased by opening the high pressure source to the air spring during compression strokes and by opening the vacuum source to the air spring during extension strokes. CVNFD stiffness is decreased by reversing these procedures. That is, the air spring is connected to the vacuum source during compression strokes and to the high pressure source during extension strokes.
The damping ratio of the proposed CVNFD system can be further controlled by incorporating a magneto-rheological damper (
CVNFD system overall performance can be broadened by compounding the air spring/accumulator/orifice components using a series configuration.
Referring to
Referring to
a depicts the accumulator piston 13 positioned such that the useful accumulator volume 14 is large and the isolated accumulator volume 15 is small.
c depicts the piston in a position whereby the useful accumulator volume 14 is small and the isolated accumulator volume 15 is large. The movable piston 13, positioned by means of a linear motion actuator/shaft combination 34, is controllably porous by virtue of a series of bleed ports 16 that allow air mass to move freely between the useful accumulator volume 14 and the isolated volume 15 when the piston is moving, thus maintaining near zero pressure differential between the two portions of the accumulator during piston motion. These ports are closed when the piston is stationary, thus creating non-communicating useful and isolated accumulator volumes. Piston position can be set manually for constant system natural frequency operation or by a computer-controlled electro-mechanical linear motion system for use in a semi-active system. This variable accumulator volume mechanism provides the isolator with a single degree of control in the form of system natural frequency per
Referring to
Referring to
A yet broadened range of isolator system performance is attained by compounding the air spring 1, accumulator plus modulator 16, and orifice 6 components depicted in
A first subset of the components described in
The operational modes for this apparatus are defined as follows: a first mode of motion, a normal vibration isolation mode, occurs when the suspended mass 41 oscillates such that the orifice 35 surface does not impact the compression mode orifice disk 37 or the over-extension orifice disk 39. In this mode of operation, the orifice 35 moves randomly along the guide rod 40, allowing unrestricted air to flow between the air spring 1 and the accumulator 4. This mode provides a maximum isolation environment (lowest isolator natural frequency) for the suspended mass 41 and is set by the accumulator volume as specified by the designer per data depicted in
A second mode of motion, the air spring collapse recovery mode, occurs when the air spring compression motion becomes excessive to the extent that the orifice 35 makes contact with the compression mode orifice disk 37, which instantly isolates the accumulator 4 from the air spring 1 and forces the isolator system into the maximum stiffness state.
A third mode of motion, the air spring over-extension recovery mode, occurs when the air spring is in a rapid extension state bringing the orifice face 35 into contact with the over-extension disk 39, which seals the orifice 35 as depicted in
A second subset of the components described in
Throughout this detailed description, attention has been primarily focused upon air suspension systems of the type that could be used to isolate loads on trucks and other vehicles. The system could be used for air suspension on seats or sleeper bunks in motor vehicles.
Numerous other uses are possible.
The system as described is focused upon an air system, but it should be understood that it could be used with any type of compressible gas or fluid.
The following terms are intended to be given broad meaning.
“Air spring” is used herein to mean any type of device which uses a compressible fluid to somewhat emulate the performance of a mechanical spring. Air springs are well known in the automotive industry, as well as other industries. The invention is not intended to be limited merely to automotive-type air springs.
“Accumulator” is used herein generally to refer to a fluid container fluidly coupled to an air spring. Such accumulators are well known in the art.
“Continuously variable volume accumulator” is used herein to refer to an accumulator which can be manipulated to change its useful volume. A hollow container with or without an airbag could be used in conjunction with a piston or plunger to change the available volume. Other types of variable volume containers could be used as well, such as accordion or bellows-type of air containers or other suitable devices.
The porous piston approach of the present invention could be accomplished in various ways as well.
“Continuously variable flow regulator” is intended to mean any type of flow regulation device including, but not limited to a sharp-edge orifice, electronically-controlled valves of many types, etc.
“Vacuum source” is used herein to refer to some type of system, device, or tank, etc. which can be used to pull air or other gases from a pneumatic or compressible fluid system rapidly and to remove air or other compressible fluid so as to have a pressure within the system to be below atmospheric pressure.
“High pressure air (compressible fluid) source” is used herein to refer to a source of air or compressible fluid which can be, but need not be delivered at a pressure higher than atmospheric pressure. “High pressure air source” is intended to include systems which are similar to air pressure sources for existing air suspension systems, but shall also include source of air and compressible gases at higher and lower pressure with respect to the prior art systems used for automotive air suspension systems.
“Accelerometer” is used herein to refer to a device to measure movement and changes in motion of and generating a signal in response to the motion or change of motion. Simple self-contained inertia based linear accelerometers may be used, as well as optical, electronic, rotational sensors and more elaborate mechanical or electro/mechanical measurement, indexing or tracking systems could be used.
“Suspended mass” is used herein to refer to any type of load, not just the chassis and payload of a vehicle, or a vehicle seat and passenger or a bed and person resisting thereon.
“Controller” is used herein to refer to any type of machine or device which provides a control signal which could be electrical, magnetic, optical, mechanical, or other signal types.
“Computer” could be used herein to be synonymous with “controller”, or it could be a super set or subset of components thereof.
The term “coupled” is used herein to refer to having some cooperative relationship which may include direct or indirect physical attachment, but it may also include a direct or indirect non-physical functional cooperation.
This application claims the benefit of U.S. Provisional Application No. 60/590,715 filed on Jul. 23, 2004, by J. M. Vogel of Ames, Iowa, and A. G. Kelkar of Ames, Iowa, entitled “Continuously variable natural frequency vibration isolation system”.
| Number | Name | Date | Kind |
|---|---|---|---|
| 3065976 | Vogel | Nov 1962 | A |
| 3722875 | Hasse | Mar 1973 | A |
| 3822908 | Gourand | Jul 1974 | A |
| 3980316 | Yates | Sep 1976 | A |
| 4415179 | Marinelli | Nov 1983 | A |
| 4468739 | Woods et al. | Aug 1984 | A |
| 4497078 | Vogel et al. | Feb 1985 | A |
| 4669710 | Horvat | Jun 1987 | A |
| 4678203 | Rohner et al. | Jul 1987 | A |
| 4733876 | Heider et al. | Mar 1988 | A |
| 4834418 | Buma et al. | May 1989 | A |
| 4923210 | Heider et al. | May 1990 | A |
| 5083812 | Wallace et al. | Jan 1992 | A |
| 5169129 | Hoffman | Dec 1992 | A |
| 5222759 | Wanner et al. | Jun 1993 | A |
| 5265907 | Tostado | Nov 1993 | A |
| 5346246 | Lander et al. | Sep 1994 | A |
| 5413316 | Easter | May 1995 | A |
| 5427347 | Swanson et al. | Jun 1995 | A |
| 5428533 | Ogawa | Jun 1995 | A |
| 5584497 | Lander et al. | Dec 1996 | A |
| 5701245 | Ogawa et al. | Dec 1997 | A |
| 5732370 | Boyle et al. | Mar 1998 | A |
| 5765859 | Nowell et al. | Jun 1998 | A |
| 5908198 | VanDenberg | Jun 1999 | A |
| 5988672 | VanDenberg | Nov 1999 | A |
| 6371459 | Schick et al. | Apr 2002 | B1 |
| 6725983 | Bell | Apr 2004 | B2 |
| 6733022 | Bradshaw | May 2004 | B2 |
| 20040061293 | Barbison | Apr 2004 | A1 |
| 20040178587 | Hiebert et al. | Sep 2004 | A1 |
| 20050098399 | Bremner | May 2005 | A1 |
| Number | Date | Country | |
|---|---|---|---|
| 60590715 | Jul 2004 | US |