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Research Papers

The Impact of Return Orifices on the Stability of a Four-Way Valve–Controlled Double-Acting Actuator

[+] Author and Article Information
Shusen Zhang

Mechanical and Aerospace Engineering,
University of Missouri,
Columbia, MO 65201
e-mail: sz2m5@mail.mizzou.edu

Contributed by the Dynamic Systems Division of ASME for publication in the Journal of Dynamic Systems, Measurement, and Control. Manuscript received April 21, 2011; final manuscript received March 9, 2013; published online May 15, 2013. Assoc. Editor: Rama K. Yedavalli.

J. Dyn. Sys., Meas., Control 135(4), 041010 (May 15, 2013) (10 pages) Paper No: DS-11-1122; doi: 10.1115/1.4024005 History: Received April 21, 2011; Revised March 09, 2013

This paper studies the influence of the return and the valve spring rate on the stability of a four-way valve–controlled double-acting actuator. A fully nonlinear model for this system is developed based on the orifice equation. The new model contains both the upstream chamber and downstream chamber for each orifice. The geometry of the return orifice and the valve spring rate has an impact on the stability boundary of the four-way valve–controlled double-acting actuator. A larger return orifice requires using a stronger valve spring to ensure the stability of the system. It is shown that, for the nonlinear system, a stable limit circle can be born from an unstable origin as bifurcation occurs.

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Figures

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Fig. 1

Four-way valve–controlled double-acting actuator

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Fig. 2

Control volume for calculating four-way spool valve flow forces

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Fig. 3

Nondimensional group C∧r versus linearized coefficients kp = 32,800 N/m and τ = 5.58 ms

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Fig. 4

Three-dimensional plot for C∧x depending on C∧r and kp

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Fig. 5

Three-dimensional plot for maximum real part of eigenvalues depending on C∧r and kp

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Fig. 6

Stability boundary

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Fig. 7

The birth of limit circle when return orifice equals the supply orifice

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