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2報, 長方形板の場合の理論解析と実験

抄録

In this report, the nonlinear forced vibration responses of a plate subjected to alternating electromagnetic attractive force are investigated theoretically and experimentally in consideration of the superharmonic and the subharmonic vibrations as well as the harmonic one. In the analysis, first, the electromagnetic attractive force is formulated by applying the least squares method to the experimental results. By the use of this formulation, the matrix equation of motion of the plate is obtained by applying the finite element method. Then, the nonlinear simultaneous equations, which decide the superharmonic and the subharmonic vibrations as well as the harmonic one, are derived by the harmonic balance method and the reduced impedence method. The numerical results carried out by the Newton-Raphson method agree well with the experimental results, and the validity of the present analysis is confirmed.