Super-Division Harmonic Oscillations in a Nonlinear Multidegree-of-Freedom System

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概要

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• In a nonlinear multidegree-of-freedom system subjected to harmonic excitation of frequency ω, a special type of oscillation is expected to occur when the linear combination (1/N)Σ^^k__<i=1>m_ip_i(N=2,3,4,... ; m_i=±1,±2,...) constructed from the natural frequencies p_1 , p_2 ,..., p_k of the system is close to ω. This oscillation, if it occurs, contains several harmonic components with frequencies ω_i (i=1,2,...,k) satisfying ω_i≒p_i , ω=(1/N) xΣ^^k__<i=1>m_iω_i , and may be termed "super-division harmonic oscillation." Theoretical investigation on the occurrence of this type of oscillation is carried out for an important case of a two-degree-of-freedom system with nonlinear spring characteristic expressed by third order polynomials of the displacements and it is shown that the above type of oscillation really occurs in the system when 1/2(p_1 +p_2) is close to ω. Numerical calculations are performed and the theoretical investigation are checked against those of 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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