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.
Issue Section:
Research Papers
1.
Chiou
J. S.
Tzeng
J. 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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