自励振動系の係数励振 : 第3報,三乗非線形性の影響

概要

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In a self-excited vibration system with restoring force expressed as the product of non-linear function of deflection and periodically variable coefficient, parametric resonances and subharmonic vibrations occur. In the present paper the influence of cubic non-linearity which is considered to induce subharmonic vibrations on such a system is investigated in detail. Approximated solutions of a system with restoring force expressed as pure cubic non-linear function are determined by the previously reported method. Consideration of that system without self-excitation gives a suggestion on the occurrence of subharmonic resonance of order 1/2 and parametric resonance of first and second order. By some numerical examples in accordance with that suggestion a system dealt with the previous report is also considered in detail.
一般社団法人日本機械学会の論文
1983-10-25