抄録
An approximate analytical technique is developed for obtaining the nonstationary responses of a multi-degree-of-freedom mechanical system with nonsymmetric non-linearities subjected to nonwhite random excitations with arbitrary covariance functions. The method consists of a modification of the equivalent linearization technique, in which the equivalent linear system is subjected to the equivalent forcing function with shifted mean, and the use of moment equations of the system. Numerical examples are given for single and two degree-of-freedom systems whose restoring force characteristics have both quadratic and cubic nonlinearities. In the first case, the results are compared with those of the corresponding digital simulation in order to demonstrate the validity of the present method.
