自然科学版 英文版
自然科学版 英文版
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中南大学学报(英文版)

Journal of Central South University

Vol. 3    No. 2    December 1996

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ASYMPTOTIC ANALYSIS OF WEAKLY NONLINEAR AND FORCED OSCILLATIONS
Chen Feng

Instrument Analysis and Testing Center, Central South University of Technology, Changsha 410083, China

Abstract:The restriction of K-Baveraging method is discussed and asymptotic solution of the weakly nonlinear and forced oscillationu″+ω20u =εkcosωt-εu3is obtained by Struble technique. The conclusion about this oscillation derived with other method is discussed. The results show that K-B method will break down when a and θin the zeroth solution of above eqation are not slowly varying functions of timet. The stationary solution of weakly nonlinear oscillation,u″+ω20u=εkcosω(ε)t-εu3 is also analysed.

 

Key words: asymptotic analysis; forced oscillation; perturbation method

中南大学学报(自然科学版)
  ISSN 1672-7207
CN 43-1426/N
ZDXZAC
中南大学学报(英文版)
  ISSN 2095-2899
CN 43-1516/TB
JCSTFT
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