非線形ばね特性をもつ二自由度係数励振系の内部共振現象 : 第2報,和差形係数励振振動について

概要

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In a parametrically excited system with linear spring characteristics (p_i, p_j : natural frequency, Ω : frequency of parametric excitation), unstable vibration occur when the relations p_i≒Ω/2 and p_i+p_j≒Ω hold. We call the former a subharmonic type and the latter a combination type. In the previous paper, we reported effects of internal resonance on parametrically excited oscillations of subharmonic type in a nonlinear two-degree-of-freedom system where p_i : p_j=1 : 2 and 1 : 3. In the present paper, we investigate the internal resonance phenomena in parametrically excited oscillations of combination type in the same system. It is clarified that the characteristics of this kind of oscillation change remarkably due to internal resonance. Especially, a different type of almost periodic oscillation which did not occur in the subharmonic type appears.
社団法人日本機械学会の論文
1986-02-25