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ASYMPTOTIC SOLUTION OF A CLASS OF NON-LINEAR NON-AUTONOMOUS SYSTEMS WITH LARGE DAMPING UNDER MULTIPLE EXTERNAL PERIODIC FORCES

✍ Scribed by Z. Zhang; R. Wang; S. Kusumoto

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
529 KB
Volume
190
Category
Article
ISSN
0022-460X

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✦ Synopsis

Based on the KBM method, a new asymptotic method of calculation is presented, and applied to an extremely general non-linear, non-autonomous system with finite large damping under multiple external periodic forces: i.e.,

Asymptotic solutions for resonance and off-resonance vibrations are obtained. Two specific Duffing equations are considered and the calculated results are found to be completely in accordance with the solutions given in references [1][2][3]. Previous research by two of us [4] is both completed by this paper and its applicable scope has been further extended. Finally, some errors in reference [3] are pointed out.

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