Analysis of Torsional Vibration Systems by the Extended Transfer Matrix Method

[+] Author and Article Information
Yuan Mao Huang, C. D. Horng

Department of Mechanical Engineering, National Taiwan University, Taiwan, Republic of China

J. Vib. Acoust 121(2), 250-255 (Apr 01, 1999) (6 pages) doi:10.1115/1.2893972 History: Received September 01, 1998; Online February 26, 2008


This study applies the extended transfer matrix method and Newton-Raphson technique with complex numbers for torsional vibration analysis of damped systems. The relationships of the vibratory amplitude, the vibratory torque, the derivatives of the vibratory angular displacement and the vibratory torque between components at the left end and the right end of the torsional vibration system are derived. The derivatives of the vibratory angular displacement and the vibratory torque are used directly in the Newton-Raphson technique to determine the eigensolutions of systems that are compared and show good agreement with the available data.

Copyright © 1999 by The American Society of Mechanical Engineers
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