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A POWER SERIES APPROACH FOR THE STUDY OF PERIODIC MOTION

✍ Scribed by M.I. Qaisi

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
158 KB
Volume
196
Category
Article
ISSN
0022-460X

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✦ Synopsis

An analytical approach based on the power series method is proposed for the study of problems involving periodic motion. It is shown that a power series solution for a dynamical system, convergent for all time, can be obtained by transforming the independent time variable into an oscillating time variable. The transformed differential equation becomes well-conditioned for a solution by the power series method. As an example, the undamped free vibrations of the Duffing oscillator is studied and the results compared with existing solutions.

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## Abstract A numerical study has been undertaken to examine the behaviour of a gas liquid interface in a vertical cylindrical vessel subjected to a sinusoidal vertical motion. The computational method used is based on the simplified marker‐and‐cell method and includes a continuum surface model for