Mean-Square Response of a Nonlinear System to Nonstationary Random Excitation.

摘要

The transient mean-square response of a nonlinear single degree of freedom mechanical system to nonstationary random excitation characterized by the product of an envelope function and stationary Gaussian random process is determined by the equivalent linearization technique. A unit step envelope function is considered in conjunction with both correlated and white noise with zero mean. It has been shown that for white noise modulated by a unit step function, the transient mean-square response never exceeds the stationary response. However, the mean-square response to correlated noise modulated by a unit step function may exceed its stationary value. The analysis is extended to the multi-degree-of-freedom nonlinear system for the case of mutually uncorrelated noise. (Author)