Super-Division Harmonic Oscillations Caused by Nonlinearity of the Fourth Order

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概要

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• A certain type of oscillation, which may be termed the super-division harmonic oscillation, can occur in a nonlinear multidegree-of-freedom vibratory system subjected to periodic excitation of frequency ω, when the quantity (1/N)Σ^^k_<i=1>m_ip_i (N=2,3,...; m_i=±1,±2,...) constructed from some of the natural frequencies p_i (p_i>0) of the system, is close to ω. Theoretical investigation on the occurrence of this type of oscillation is carried out for a case of a two-degree-of-freedom system with nonlinear spring characteristic of fourth order polynomials of the displacements. The analysis shows that the above type of oscillation occurs in the system when either (1/3)(p_1+P_2) or (1/2)(2p_1+P_2) is close to ω. Numerical calculation is performed and the characteristics of the oscillation are discussed. The theoretical analysis is checked by an analog computer.

• 一般社団法人日本機械学会の論文

著者

• Yamamoto Toshio

  Faculty Of Engineering Nagoya University

• Yasuda Kimihiko

  Faculty Of Engineering Nagoya University

• NAGOH Tatsuo

  The Kansai Electric Power Co., Inc.

• Nagoh Tatsuo

  The Kansai Electric Power Co. Inc.

関連論文

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