Combination Tones of Summed Type in Nonlinear Vibratory Systems

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概要

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• When two periodic disturbing forces with frequencies Ω_1 and Ω_2 excite a nonlinear vibratory system, combination tones having a frequency Ω=Ω_1+Ω_2 appear. In the present paper, the combination tones are discussed analytically and experimentally. For a small value of frequency ratio K=Ω_2/Ω_1 (Ω_2≨Ω_1,K≨1), the response curves of combination tones are hard or soft spring type, and the magnitudes of amplitude increase with the value K and the value of the unsymmetrical nonlinearity. When the value K is somewhat large, peculiar response curves take place, and the amplitudes of harmonic oscillations become larger than those of combination tones. By introducing the conception of apparent external force, the back bone curves and the phase angles can be obtained, and further, the effects of unsymmetrical nonlinearity can be explained clearly. Generally, the amplitudes of combination tones are comparable to those of ultraharmonic oscillation.

• 一般社団法人日本機械学会の論文

著者

• Yamamoto Toshio

  Faculty Of Engineering Nagoya University

• Yamamoto T.

  Faculty of Agriculture, Yamagata University

• Nakao Yoichi

  Ishikawajima-harima Heavy Industries Co. Ltd.

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