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.
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March 1991
Research Papers
Dissipative Modal Approximation of Fluid Transmission Lines Using Linear Friction Model
W. C. Yang,
W. C. Yang
Ford Motor Company, Dearborn, Mich. 48121
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W. E. Tobler
W. E. Tobler
Ford Motor Company, Dearborn, Mich. 48121
Search for other works by this author on:
W. C. Yang
Ford Motor Company, Dearborn, Mich. 48121
W. E. Tobler
Ford Motor Company, Dearborn, Mich. 48121
J. Dyn. Sys., Meas., Control. Mar 1991, 113(1): 152-162 (11 pages)
Published Online: March 1, 1991
Article history
Received:
March 1, 1989
Revised:
December 1, 1989
Online:
March 17, 2008
Citation
Yang, W. C., and Tobler, W. E. (March 1, 1991). "Dissipative Modal Approximation of Fluid Transmission Lines Using Linear Friction Model." ASME. J. Dyn. Sys., Meas., Control. March 1991; 113(1): 152–162. https://doi.org/10.1115/1.2896342
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