This study develops the dynamic equations that describe the behavior of a hydrostatic transmission utilizing a variable-displacement axial-piston pump with a fixed-displacement motor. In general, the system is noted to be a third-order system with dynamic contributions from the motor, the pressurized hose, and the pump. Using the Routh-Hurwitz criterion, the stability range of this linearized system is presented. Furthermore, a reasonable control-gain is discussed followed by comments regarding the dynamic response of the system as a whole. In particular, the varying of several parameters is shown to have distinct effects on the system rise-time, settling time, and maximum percent-overshoot.
Issue Section:
Technical Papers
1.
Kim
S. D.
Cho
H. S.
Lee
C. O.
1987
, “A Parameter Sensitivity Analysis for the Dynamic Model of a Variable Displacement Axial Piston Pump
,” Proceedings of the Institution of Mechanical Engineers
, Vol. 201
, No. C4
:235
–43
.2.
Manring, N. D., and R. E. Johnson, 1994, “Swivel Torque within a Variable-Displacement Pump,” 46th National Conference on Fluid Power, Anaheim, CA.
3.
Merritt, Herbert E., 1967, Hydraulic Control Systems, Wiley, New York.
4.
Schoenau
G. J.
Burton
R. T.
Kavanagh
G. P.
1990
, “Dynamic Analysis of a Variable Displacement Pump
,” ASME JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL
, Vol. 112
, pp. 122
–32
.5.
Thoma, Jean U., 1979, Hydrostatic Power Transmission, Trade and Technical Press, Surrey, England.
6.
Zeiger
G.
Akers
1986
, “Dynamic Analysis of an Axial Piston Pump Swashplate Control
,” Proceedings of the Institution of Mechanical Engineers
, 200
, No. CI
, pp. 49
–58
.7.
Zeiger
G.
Akers
1985
, “Torque on the Swashplate of an Axial Piston Pump
,” ASME JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL
, Vol. 107
, pp. 220
–26
.
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