交番電磁力が作用する弾性体の非線形強制振動の有限要素解析 : 第1報,有限要素法と調和バランス法を用いた解析法とはりへの応用

概要

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When an alternating electromagnetic force is applied to the mechanical vibration system, nonlinear forced vibrations such as superharmonic and subharmonic vibrations are generated owing to the nonlinearity of the electromagnetic force. In this report, the analytical method by the finite element method and the harmonic balance method is presented to investigate the nonlinear vibrations of a beam subjected to the alternating electromagnetic force. In the analysis, the equations of motion of the beam are obtained by the finite element method, and the nonlinear matrix equations which decide the force vibration amplitudes are derived in consideration of the second order superharmonic and the one-second order subharmonic by applying the harmonic balance method. Then, the nonlinear matrix equations are reduced, and three simultaneous equations are derived. Furthermore, the numerical results by use of the Newton-Rapson method agree well with the previous numerical results, and the present analytical method is confirmed.
一般社団法人日本機械学会の論文
1988-06-25