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RESEARCH PAPERS

Dissipative Modal Approximation of Fluid Transmission Lines Using Linear Friction Model

[+] Author and Article Information
W. C. Yang, W. E. Tobler

Ford Motor Company, Dearborn, Mich. 48121

J. Dyn. Sys., Meas., Control 113(1), 152-162 (Mar 01, 1991) (11 pages) doi:10.1115/1.2896342 History: Received March 01, 1989; Revised December 01, 1989; Online March 17, 2008

Abstract

For both hydraulic and pneumatic transmission lines, analytical dissipative modal approximation techniques, which take into account the frequency dependent viscosity and heat transfer effects, are developed by introducing frequency dependent damping and natural frequency modification factors to the quadratic modes obtained analytically from linear friction model. The main advantage over the existing dissipative modal approximations is that the modal parameters of the resulting modal transfer function matrices and modal state space equations can be determined analytically rather than determined by table and/or numerical computer calculations. This introduces modeling flexibilities and greatly alleviates the difficulties of modeling complex fluid networks but still maintaining the modal accuracy and complexities. Unit step response comparisons are made with quasi-method of characteristics showing good agreements for both hydraulic and pneumatic lines.

Copyright © 1991 by The American Society of Mechanical Engineers
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