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TECHNICAL BRIEFS

Modal Approximation of Distributed Dynamics for a Hydraulic Transmission Line With Pressure Input-Flow Rate Output Causality

[+] Author and Article Information
Beshahwired Ayalew

 The Pennsylvania State University, 201 Transportation Research Building, University Park, PA 16802beshah@psu.edu

Bohdan T. Kulakowski

 The Pennsylvania State University, 201 Transportation Research Building, University Park, PA 16802btk1@psu.edu

J. Dyn. Sys., Meas., Control 127(3), 503-507 (Oct 16, 2004) (5 pages) doi:10.1115/1.1978913 History: Received April 07, 2004; Revised September 18, 2004; Accepted October 16, 2004

Based on analytical results obtained in the frequency domain, modal approximation techniques are employed to derive transfer function and state space models applicable to a pressure input-flow rate output causality case of a transmission line. The causality case considered here arises while modeling short connection lines to hydraulic accumulators. However, the modal approximation results presented apply also to other cases where the linear friction model is considered applicable. It is highlighted that the results presented can reduce the overall order of the hydraulic system model containing the transmission line being considered.

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Copyright © 2005 by American Society of Mechanical Engineers
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Figures

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Figure 1

One-dimensional fluid transmission line

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Figure 2

Schematic of an application for the causality case considered here

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Figure 3

Comparison of the modal approximation for element (1,1) in Eq. 1

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Figure 4

Comparison of the modal approximation for element (2,1) in Eq. 1

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