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5 - System Dynamics

Published online by Cambridge University Press:  05 June 2012

John Watton
Affiliation:
Cardiff University
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Summary

Introduction

The preceding chapters considered the steady-state behavior of common fluid power elements and systems. In reality, fluid power systems handle significant moving masses, and the combination of this with fluid compressibility results in system dynamics that usually cannot be neglected. In addition, individual components such as PRVs require a finite time to accommodate flow-rate changes. This also applies, for example, to a servovalve that again requires a finite time to change its spool position in response to a change in applied current. The combination of these issues means that the design of both open-loop and closed-loop control systems must take into account these dynamic issues. In particular, a closed-loop control system will almost certainly become unstable as system gains are increased because of such dynamic effects. Instability can lead to disastrous consequences if severe pressure oscillations occur. Instability in axial piston motor speed control systems, for example, can result in severe repetitive lifting and impact of the pistons on the swash plate.

Consider the design of a servoactuator that forms one of four to be used to provide the “road” input to the wheels of a vehicle sitting on a rig commonly called a “four-poster.” Figure 5.1 shows one of the servoactuators and a block diagram of the position control system.

Determining the dynamic performance of the position control system only is relatively straightforward once the important dynamic features have been identified.

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Publisher: Cambridge University Press
Print publication year: 2009

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References

Achten, PAJ and Fu, Z [2000]. Valving land phenomena of the Innas hydraulic transformer. Int. J. Fluid Power 1(1), 39–48.CrossRefGoogle Scholar
Achten, PAJ, Brink, TL, Potma, JW [2004]. Movement of the cups on the barrel plate of a floating cup, axial piston machine. Int. J. Fluid Power 5(2), 25–34.CrossRefGoogle Scholar
Almondo, A and Sorli, M [2006]. Time domain fluid transmission line modelling using a passivity preserving rational approximation of the frequency dependent transfer matrix. Int. J. Fluid Power 7(1), 41–50.CrossRefGoogle Scholar
Ansari, JS and Oldenburger, R [1967]. Propagation of disturbance in fluid lines. Trans ASME J. Basic Eng.415–452.CrossRefGoogle Scholar
Baum, H and Murrenhoff, H [2001]. Use of neural networks for the simulation of hydraulic systems including fluid temperature-dependent component efficiencies. In Power Transmission and Motion Control 2001, Professional Engineering Publications Ltd., 57–71.Google Scholar
Brown, FT [1962]. Transient response of fluid lines. Trans. ASME J. Basic Eng. 84, 547–553.CrossRefGoogle Scholar
Burton, JD, Edge, KA, Burrows, CR [1964]. Modelling requirements for the parallel simulation of hydraulic systems. Trans. ASME J. Dyn. Syst. Meas. Control 116, 137–145.CrossRefGoogle Scholar
Cichocki, A and Unbehauen, R [1993]. Neural Networks for Optimisation and Signal Processing, Wiley.Google Scholar
Dagupta, K, Watton, J, Pan, S [2006]. Open-loop dynamic performance of a servo-valve controlled motor transmission system with pump loading using steady-state characteristics. Mechanism Machines Theory 41, 262–282.CrossRefGoogle Scholar
Dahlen, L, Carlsson, P [2003]. Numerical optimization of a distributor valve. Int. J. Fluid Power 4(3), 17–26.CrossRefGoogle Scholar
Davies, AM and Davies, RM [1969]. Non-linear behaviour including jump resonance of hydraulic servomechanisms. Inst. Mech. Eng. J. Mech. Eng. Sci. 11, 837–846.Google Scholar
Del Vescovo, G and Lippolis, A [2006]. A review analysis of unsteady forces in hydraulic valves. Int. J. Fluid Power 7(3), 29–40.CrossRefGoogle Scholar
Edge, KA and Johnston, DN [1986]. A new method for evaluating the fluid-borne noise characteristics of positive displacement pumps. In Proceedings of Seventh BHRA Fluid Power Symposium, British Hydromechanics Research Association, 253–260.Google Scholar
Fales, R [2006]. Stability and performance analysis of a metering poppet valve. Int. J. Fluid Power 7(2), 11–18.CrossRefGoogle Scholar
Giuffrida, A and Laforgia, D [2005]. Modelling and simulation of a hydraulic breaker. Int. J. Fluid Power 6(2), 47–56.CrossRefGoogle Scholar
Glaze, SG [1960]. Analogue technique and the non-linear jack servomechanism. In Proceedings of the IMechE Automatic Control Conference, Institute of Mechanical Engineering, pp. 178–188.Google Scholar
Gordic, D, Babic, M, Jovicic, N [2004]. The modelling of a spool position feedback servovalve. Int. J. Fluid Power 5(1), 37–50.CrossRefGoogle Scholar
Grabbel, J and Ivantysynova, M [2005]. An investigation of swash-plate control concepts for displacement controlled actuators. Int. J. Fluid Power 6(2), 19–36.CrossRefGoogle Scholar
Guillon, M and Blondel, JP [1971]. Non-symmetrical cylinders and valves under non-symmetrical loading. In Proceedings of the 2nd BHRA Fluid Power Symposium, British Hydromechanics Research Association, B5, 85–111.Google Scholar
Habibi, SR and Singh, G [2000]. Derivation of design requirements for optimization of a high performance hydrostatic actuation system. Int. J. Fluid Power 1(2), 11–28.CrossRefGoogle Scholar
Harper, NF [1953]. Some considerations of hydraulic servos of jack type. In Proceedings of the IMechE Conference on Hydraulic Servos, Institute of Mechanical Engineers, 41–50.Google Scholar
Hilton, DJ [1978]. Interactions between a pressure reducing valve and the upstream pipe. In Proceedings of the 5th BHRA Fluid Power Symposium, British Hydromechanics Research Association, G2–23–44.Google Scholar
Hsue, CY and Hullender, DA [1983]. Modal approximations for the fluid dynamics of hydraulic and pneumatic transmission lines. In Fluid Transmission Line Dynamics, ASME, 51–77.Google Scholar
Hullender, DA and Healey, AJ [1981]. Rational polynomial approximation for fluid transmission line models. In Fluid Transmission Line Dynamics, ASME, pp. 33–56.Google Scholar
Iberall, AS [1950]. Attenuation of oscillatory pressures in instrument lines. J. Res. Nat. Bur. Stand. 45, 2115.CrossRefGoogle Scholar
Ivakhnenko, A [1971]. Polynomial theory of complex systems. IEEE Trans. Syst. Man Cybern. SMC-1, 364–378.CrossRefGoogle Scholar
Ivantysynova, M and Lasaar, R [2004]. An investigation into micro- and macrogeometric design of piston/cylinder assembly of swash-plate machines. Int. J. Fluid Power 5(1), 23–36.CrossRefGoogle Scholar
Johnston, DN [1991]. Numerical modelling of reciprocating pumps with self-acting valves. Proc. Inst. Mech. Eng. J. Syst. Control Eng. 205, 87–95.Google Scholar
Johnston, DN and Drew, JE [1996]. Measurement of positive displacement pump flow ripple and impedance. Proc. IMechE J. Syst. Control Eng. 210, 65–74.CrossRefGoogle Scholar
Johnston, DN and Edge, KA [1989]. Simulation of the pressure ripple characteristics of hydraulic circuits. Proc. IMechE Part C, 203(C4), 275–282.Google Scholar
Kannisto, S and Virvalo, T [2002]. Hydraulic pressure in long hose. In Power Transmission and Motion Control 2002, Professional Engineering Publications Ltd., 165–176.Google Scholar
Karam, JT and Franke, ME [1967]. The frequency response of pneumatic lines. Trans. ASME J. Basic Eng. 89(3), 371–377.CrossRefGoogle Scholar
Karam, JT and Leonard, RG [1972]. A simple but complete solution for the stop response of semi-infinite circular fluid transmission line systems. ASME J. Basic Eng. 94(2).CrossRefGoogle Scholar
Katz, S [1977]. Transient response of fluid lines by frequency response conversion. Trans. ASME J. Dyn. Syst. Meas. Control, 311–313.Google Scholar
Khrapak, AV [2001]. Controlled distributive valve plate in axial piston hydraulic motors. Int. J. Fluid Power 2(2), 65–74.CrossRefGoogle Scholar
Kitsios, EE and Boucher, RF [1986]. Transmission line modelling of a hydraulic position control system. Proc. IMechE Part B 200(B4), 229–236.Google Scholar
Kojima, E [2003]. Development of a quieter variable-displacement vane pump for automotive hydraulic power steering system. Int. J. Fluid Power 4(2), 5–14.CrossRefGoogle Scholar
Kojima, E and Shinada, M [2002]. Development of accurate and practical simulation technique based on the modal approximations for fluid transients in compound fluid line systems. 1st report: Establishment of fundamental calculation algorithm and basic considerations for verification of its availability. Int. J. Fluid Power 4(2), 5–15.CrossRefGoogle Scholar
Kojima, E and Shinada, M [2003]. Development of accurate and practical simulation technique based on the modal approximations for fluid transients in compound fluid line systems. 2nd report: Enhancement of analytic functions for generalization. Int. J. Fluid Power 4(3), 35–45.CrossRefGoogle Scholar
Kontz, ME and Book, WJ [2007]. Electronic control of pump pressure for a small haptic back-hoe. Int. J. Fluid Power 8(2), 5–16.CrossRefGoogle Scholar
Koskinen, KT and Vilenius, MJ [2000]. Steady-state and dynamic characteristics of water hydraulic proportional ceramic spool valve. Int. J. Fluid Power 1(1), 5–16.CrossRefGoogle Scholar
Krus, P, Weddfelt, K, Palmberg, JO [1994]. Fast pipeline models for simulation of hydraulic systems. Trans. ASME J. Dyn. Syst. Meas. Control 115, 132–136.CrossRefGoogle Scholar
Lanzetta, F, Desevaux, P, Bailly, Y [2002]. Optimization performance of a microfluid flow power converter. Int. J. Fluid Power 3(3), 5–12.CrossRefGoogle Scholar
Leino, T, Linjama, M, Koskinen, K, Vilenius, M [2001]. Applicability of a laminar flow-based model in pipe flow modelling of water hydraulic systems. Int. J. Fluid Power 2(2), 37–46.CrossRefGoogle Scholar
Lim, J, Jackson, PR, Yang, Q, Jones, BE [2001]. Optically powered hydraulic pilot valve using piezo-electric multilayer actuator. Int. J. Fluid Power 2(3), 15–22.CrossRefGoogle Scholar
Longmore, DK and Schlesinger, A [1991]. Transmission of vibration and pressure fluctuations through hydraulic hoses. Proc. IMechE Part I, 205(12), 97–104.Google Scholar
Macor, A and Tramontan, M [2007]. Hydrostatic hybrid system: System definition and application. Int. J. Fluid Power 8(2), 47–62.CrossRefGoogle Scholar
Manco, G, Manco, S, Rundo, M, Nervegna, N [2000]. Computerized generation of novel gearings for internal combustion engines lubricating pumps. Int. J. Fluid Power 1(1), 49–58.CrossRefGoogle Scholar
Manco, S, Nervegna, N, Rundo, M [2002]. A contribution to the design of hydraulic lube pumps. Int. J. Fluid Power 3(1), 31–32.CrossRefGoogle Scholar
Manhartsgruber, B [2004]. Passivity of fluid transmission line models. In Proceedings of the Power Transmission and Motion Control Workshop, PTMC 2004, Professional Engineering Publications Ltd., 99–108.Google Scholar
Martin, KF [1970]. Stability and step response of a hydraulic servo with special reference to unsymmetrical oil volume conditions. Proc. Inst. Mech. Eng. J Mech. Eng. Sci. 12, 331–338.Google Scholar
Martin, KF [1974]. Flow saturated response of a hydraulic servo. ASME J. Dyn. Syst. Meas. Control341–346.CrossRefGoogle Scholar
Mookherjee, S, Acharyya, S, Majumdar, K, Sanyal, D [2001]. Static-performance based computer-aided design of a DDV and its sensitivity analysis. Int. J. Fluid Power 2(2), 47–64.CrossRefGoogle Scholar
Murin, J [2005]. A controlled diesel drive with hydrostatic transmission: Part 1—Mathematical model. Int. J. Fluid Power 38(2/3), 105–120.Google Scholar
Murrenhoff, H and Scharf, S [2006]. Wear and friction of ZRCG-coated pistons of axial piston pumps. Int. J. Fluid Power 7(3), 13–20.CrossRefGoogle Scholar
Muto, T and Kanei, T [1980]. Resonance and transient response of pressurised complex systems. Bulletin JSME 23, 1610–1617.CrossRefGoogle Scholar
Nichols, NB [1962]. The linear properties of pneumatic transmission lines. Trans. Instrum. Soc. Am. (1), 15–14.Google Scholar
Nikiforuk, PN and Westland, BE [1965]. The large signal response of a loaded high-pressure hydraulic servomechanism. Proc. Inst. Mech. Eng. 180, 757–786.CrossRefGoogle Scholar
Olems, L [2000]. Investigations of the temperature behaviour of the piston cylinder assembly in axial piston pumps. Int. J. Fluid Power 1(1), 27–38.CrossRefGoogle Scholar
Piche, R and Ellman, A [1996]. A standard hydraulic fluid transmission line model for use with ODE simulators. In Proceedings of the 8th Bath International Fluid Power Workshop, Research Studies Press, 221–236.Google Scholar
Qian, Y and Xiang, MG [2007]. Reducing influence of eccentric load on dynamic characteristics of rotary actuator. Int. J. Fluid Power 8(2), 17–24.CrossRefGoogle Scholar
Rohmann, CP and Grogan, EC [1957]. On the dynamics of pneumatic transmission lines. Trans ASME, 79, 853–874.Google Scholar
Royle, JK [1959]. Inherent non-linear effects of hydraulic control systems with inertia loading. Proc. Inst. Mech. Eng. 173, 257–269.CrossRefGoogle Scholar
Ruan, J, Ukrainetz, PR, Burton, R [2000]. Frequency domain modelling and identification of 2d digital servo valve. Int. J. Fluid Power 1(2) 49–58.CrossRefGoogle Scholar
Sanada, K, Richards, CW, Longmore, DK, Johnston, DN [1993]. A finite element model of hydraulic pipelines using an optimized interlacing grid system. Proc. Inst. Mech. Eng. J. Syst. Control Eng. 207, 213–222.Google Scholar
Scharfand, S and Murrenhoff, H [2005]. Measurement of friction forces between piston and bushing of an axial piston displacement unit. Int. J. Fluid Power 6(1), 7–18.CrossRefGoogle Scholar
Shinada, M and Kojima, E [2002]. Development of a practical and high accuracy simulation technique based on numerical modal approximation for fluid transients in compound fluid line systems. In Proceedings of the 5th JFPS International Symposium on Fluid Power, Japan Fluid Power Society, 871–876.Google Scholar
Silberberg, MY [1956]. A note on the describing function of an element with Coulomb, static and viscous friction. Trans. AIEE 75, Part 2, 423–425.Google Scholar
Stecki, JS and Davis, DC [1986]. Fluid transmission lines-distributed parameter models. Part 1: A review of the state of the art. Proc. Inst. Mech. Eng. 200, Part A, 215–228.CrossRefGoogle Scholar
Stecki, JS and Davis, DC [1986]. Fluid transmission lines-distributed parameter models. Part 2: Comparison of models. Proc. Inst. Mech. Eng. 200, Part A, 229–236.CrossRefGoogle Scholar
Suzuki, K and Urata, E [2005]. Dynamic characteristics of a direct-pressure sensing water hydraulic relief valve. In Proceedings of the 6th JHPS International Symposium on Fluid Power, 461–466.CrossRefGoogle Scholar
Suzuki, K, Taketomi, T, Sato, S [1991]. Improving Zielke's method of simulating frequency-dependent friction in laminar liquid pipe flow. Trans. ASME. J. Fluids Eng. 113, 569–573.CrossRefGoogle Scholar
Tahmeen, M, Yamada, H, Muto, T [2001]. The dynamic characteristics of tapered fluid lines with viscoelastic walls (transfer matrix and frequency response). Int. J. Fluid Power 2(2), 33–40.CrossRefGoogle Scholar
Takahashi, K and Takahashi, Y [1980]. Dynamic characteristics of a spool valve controlled servomotor with a non-symmetrical cylinder. Bull. JSME 23, 1155–1162.Google Scholar
Tanahashi, T [1982]. Distorted pressure histories due to the step response in a linear tapered line. Bull. JSME 25, 1521–1528.CrossRefGoogle Scholar
Taylor, SEM, Johnston, DN, DK, Longmore [1997]. Modelling of transient flow in hydraulic pipelines. Proc. Inst. Mech. Eng. J. Syst. Control Eng. 211, 447–456.Google Scholar
Tou, J and Sculthesis, PM [1958]. Static and sliding friction in feedback systems. J. Appl. Phys. 21, 1210–1217.Google Scholar
Trikha, AK [1975]. An efficient method for simulating frequency-dependent friction in transient liquid flow. ASME J. Fluids Eng.97–104.CrossRefGoogle Scholar
Turnbull, [1959]. The response of a loaded hydraulic servomechanism. Proc. Inst. Mech. Eng. 173, 270–284.CrossRefGoogle Scholar
Urata, E [2004]. One-degree-of-freedom model for torque-motor dynamics. Int. J. Fluid Power 5(2), 35–42.CrossRefGoogle Scholar
Watton, J [1984]. The generalised response of servovalve-controlled, single rod, linear actuators and the influence of transmission line dynamics. ASME J. Dyn. Syst. Meas. Control 106, 157–162.CrossRefGoogle Scholar
Watton, J [1988]. Modelling of electrohydraulic systems with transmission lines using modal approximations. Proc. Inst. Mech. Eng. Part B, 202(83), 153–163.CrossRefGoogle Scholar
Watton, J [1990]. Optimum response design guides for electrohydraulic cylinder control systems. J. Appl. Math. Model. 14, 598–604.CrossRefGoogle Scholar
Watton, J and Hawkley, CJ [1996]. An approach for the synthesis of oil hydraulic transmission line dynamics utilising in situ measurements. Proc. Inst. Mech. Eng. J. Syst. Control Eng. 210, 77–93.Google Scholar
Watton, J and Kwon, K-S [1996]. Neural network modelling of fluid power control systems using internal state variables. Mechatronics 6, 817–827.CrossRefGoogle Scholar
Watton, J and Tadmori, MJ [1988]. A comparison of techniques for the analysis of transmission line dynamics in electrohydraulic control systems. J. Appl. Math. Model. 12, 457–466.CrossRefGoogle Scholar
Watton, J and Xue, Y [1995]. Identification of fluid power component behaviour using dynamic flow rate measurement. Proc. Inst. Mech. Eng. J. Syst. Control Eng. 209, 179–191.CrossRefGoogle Scholar
Watton, J and Xue, Y [1997]. Simulation of fluid power circuits using artificial network models, Part 1: Selection of component models. Proc. Inst. Mech. Eng. J. Syst. Control Eng. 211, 111–122.Google Scholar
Wieczorek, U and Ivantysynova, M [2002]. Computer-aided optimization of bearing and sealing gaps in hydrostatic machines: The simulation tool CASPAR. Int. J. Fluid Power 3(1), 7–20.CrossRefGoogle Scholar
Wiens, T, Burton, R, Schoenau, G, Ruan, J [2005]. Optimization and experimental verification of a variable ratio flow divider valve. Int. J. Fluid Power 6(3), 45–54.CrossRefGoogle Scholar
Wu, D, Burton, R, Schoenau, G, Bitner, D [2002]. Establishing operating points for a linearised model of a load sensing system. Int. J. Fluid Power 3, 47–54.CrossRefGoogle Scholar
Wu, K, Zhang, Q, Hansen, A [2004]. Modelling and identification of a hydrostatic transmission hardware-in-the-loop simulator. Int. J. Vehicle Design 34(1), 63–75.CrossRefGoogle Scholar
Xu, L, Schueller, JK, Harrell, R [1996]. Dynamic response of a servovalve controlled hydraulic motor driven centrifugal pump. Trans. ASME J. Dyn. Syst. Meas. Control 118, 253–258.CrossRefGoogle Scholar
Xue, Y and Watton, J [1995]. A self-organising neural network approach to data-based modelling of fluid power systems dynamics using the GMDH algorithm. Proc. Inst. Mech. Eng. J. Syst. Control Eng. 209, 229–240.Google Scholar
Xue, Y and Watton, J [1997]. Simulation of fluid power circuits using artificial network models, Part 2: Circuit simulation. Proc. Inst. Mech. Eng. J. Syst. Control Eng. 211, 429–438.Google Scholar
Yamada, H, Wennmacher, G, Muto, T, Suematsu, Y [2000]. Development of a high-speed on/off digital valve for hydraulic control systems using a multilayered pzt actuator. Int. J. Fluid Power 1(2), 5–10.CrossRefGoogle Scholar
Yang, WC and Tobler, WE [1991]. Dissipative modal approximation of fluid transmission lines using linear friction models. Trans. ASME J. Dyn. Syst. Meas. Control 113, 152–162.CrossRefGoogle Scholar
YugeA, Tomioka K, Tanaka K, Nagayama K, Tokuda K A, Tomioka K, Tanaka K, Nagayama K, Tokuda K [2005]. Dynamic characteristics of a spool valve coupled with electromagnetic and mechanical effects. In Proceedings of the 6th JHPS International Symposium on Fluid Power, Japan Fluid Power Society, 340–345.Google Scholar
Zhang, R, Alleyne, AG, Prasetiawan, EA [2002]. Performance limitations of a class of two-stage electro-hydraulic flow valves. Int. J. Fluid Power 3(1), 47–54.CrossRefGoogle Scholar
Zielke, W [1968]. Frequency-dependent friction in transient pipe flow. Trans. ASME J. Basic Eng. 90(1), 109–115.CrossRefGoogle Scholar

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  • System Dynamics
  • John Watton, Cardiff University
  • Book: Fundamentals of Fluid Power Control
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9781139175241.006
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  • System Dynamics
  • John Watton, Cardiff University
  • Book: Fundamentals of Fluid Power Control
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9781139175241.006
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  • System Dynamics
  • John Watton, Cardiff University
  • Book: Fundamentals of Fluid Power Control
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9781139175241.006
Available formats
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