Chaotic Behaviour of a Nonlinear Vibrating System with a Retarded Argument

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概要

• 論文の詳細を見る

• This paper investigates the behaviour of a nonlinear vibrating system, i. e., van der Pol and Duffing's system, with a retarded argument under a harmonic stimulating force. An approximate analytical method, i.e., the averaging scheme, is used to analyse subharmonic oscillations of the order 1/2. The algorithm used to study periodic solutions and their stabilities with higher-order approximations, is presented. A computer simulation is used to obtain Poincare mapping and invariant manifolds. Through the application of the approximate analytical procedure presented here and numerical simulation, both symmetrical and unsymmetrical subharmonic solutions are observed in addition to period-doubling bifurcations and chaotic behaviour. In addition, one of the Lyapunov exponents, which is positive, has verified that the vibrating system possesses chaotic phenomena.

• 一般社団法人日本機械学会の論文
• 1992-06-15

著者

• Sueoka Atsuo

  Dept.of Mechanical Engineering Faculty Of Engineering Kyushu University

• TSUDA Yoshihiro

  Dept.of Mechanical Engineering, Faculty of Engineering, Ohita University

• Fujii T

  Chiba Univ. Chiba Jpn

• Fujii Tsuyoshi

  Dept. Of Mechanical Engineering Faculty Of Engineering Ohita University

• Takayama Yoshihisa

  Faculty Of Engineering Oita University

• TAMURA Hideyuki

  Dept. of Mechanical Engineering, Faculty of Engineering, Kyushu University

• Tamura H

  Department Of Intelligent Machinery And Systems Faculty Of Engineering Kyushu University

• Sueoka Atsuo

  Dept.of Intelligent Machinery And Systems Faculty Of Eng. Kyushu Univ.

• Tsuda Yoshihiro

  Dept. Of Mechanical Engineering Faculty Of Engineering Ohita University

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