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A POWER-SERIES SOLUTION FOR A STRONGLY NON-LINEAR TWO-DEGREE-OF-FREEDOM SYSTEM

✍ Scribed by M.I. QAISI; A.W. KILANI

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
107 KB
Volume
233
Category
Article
ISSN
0022-460X

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✦ Synopsis

A power-series method is presented for the analysis of a conservative strongly non-linear two-degree-of-freedom (d.o.f.) system with cubic non-linearity. The method is based on transforming the time variable into an harmonically oscillating time whereby the governing di!erential equations become well conditioned for power-series analysis. The oscillating time frequency is obtained by enforcing Rayleigh's energy principle. The results show good agreement with those obtained using the Lindstedt}PoincareH method.

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