Abstract
In this paper, an analytical approach for nonlinear forced vibration of a multi-degree-of-freedom system is proposed using the component mode synthesis method. The whole system is divided into some components and a nonlinear modal equation of each component is derived using the unconstrained vibration modes. Finally, the dynamic responses of the whole system can be obtained. As a numerical example, a simple five-degree-of-freedom system is considered, in which all spring have cubic type nonlinearity. As a result, it is shown that even if the lower vibration modes of each component are only adopted, the accurate dynamic response near the first resonance can be obtained.
