非線形系における差形"結合調波"振動について

概要

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When two periodic disturbing forces with frequencies Ω_1 and Ω_2 (Ω_2>Ω_1) respectively are applied to a vibratory system with the unsymmetrical spring force, the combination tones of the differential type having frequency Ω=Ω_2-Ω_1 occur. In the present paper, the combination tones of differential type are discussed analytically and experimentally, and it is found that there are three types of the amplitude-frequency response curve of the combination tones of differential type as well as of summed type, but the relations between these types of the response curves and the ratios of the forcing frequencies K=Ω_2/Ω_1 are different from those of the combination tones of summed type. Further by introducing the conception of the apparent external force, the phase angle and the backbone curves can be obtained, and the effect of unsymmetrical nonlinearity and damping force can be explained clearly.
一般社団法人日本機械学会の論文
1964-01-25