増分伝達マトリックス法による非線形振動解析 : 和差調波振動の解析

抄録

In a previous study, we developed a new transfer matrix method for analyzing the harmonic and subharmonic oscillations of a nonlinear multi-degree-of-freedom system. In this study, we generalize this method so that it can analyze such oscillations as the combination resonance, which are composed of several components with unknown frequencies. As a numerical example, the combination resonance of three-degree-of-freedom system with nonlinear spring property is analyzed. The stability determination is also conducted in a similar manner to transfer matrix method. By comparing the results of the method with those of numerical integration of the equation of motion, the validity of the proposed method is confirmed.