Application of the Taylor Transform to Nonlinear Vibration Problems

[+] Author and Article Information
J. S. Chiou, J. R. Tzeng

Department of Mechanical Engineering, National Cheng Kung University, Tainan, Taiwan

J. Vib. Acoust 118(1), 83-87 (Jan 01, 1996) (5 pages) doi:10.1115/1.2889639 History: Received January 01, 1994; Online February 26, 2008


A new transformation technique called the Taylor transform is introduced in this study. A great advantage of the Taylor transform over the integral transform is its ability to solve the nonlinear differential equation. Two nonlinear problems—Van der Pol’s equation and the motion behavior of an earthquake isolation system—are solved by the present method. The results compare very well with the measured data and the results obtained from other analytical methods.

Copyright © 1996 by The American Society of Mechanical Engineers
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