Application of the Taylor Transform to Nonlinear Vibration Problems-Reference-Cited by-同舟云学术

Application of the Taylor Transform to Nonlinear Vibration Problems

Published:1996-01-01 Issue:1 Volume:118 Page:83-87
ISSN:1048-9002
Container-title:Journal of Vibration and Acoustics
language:en
Short-container-title:

Author:

Chiou J. S.¹,Tzeng J. R.¹

Affiliation:

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

Abstract

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.

Publisher

ASME International

Subject

General Engineering

Link

http://asmedigitalcollection.asme.org/vibrationacoustics/article-pdf/118/1/83/5733110/83_1.pdf

Reference5 articles.

1. Chiou J. S. , and TzengJ. R., 1993, “Seismic Isolation Method for a Computer System,” Jour. of the Chinese Society of Mechanical Engineers, Vol. 14, No. 4, pp. 383–394.

2. Fujita, T., Yogo, K., and Omi, T., 1983, “An Earthquake Isolation Device Using Linear Motion Mechanism,” SEISAN-KENKYU, Vol. 35 No. 4-6, University of Tokyo.

3. Pipes, L. A., and Harvill, L. R., 1970, Applied Mathematics for Engineering and Physicists, 3rd ed., McGraw-Hill Book Co.

4. Rao, J. S., 1992, Advanced Theory of Vibration, Wiley Eastern Limited, New Delhi, India.

5. Zhou, X., 1986, Differential Transformation and Its Applications for Electrical Circuits, Huazhong University Press, Wuhan China (in Chinese).

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