结合小波变换分析系统在演变非平稳随机激励下的响应

Analyzing Evolutionary Non-stationary Random Excitations of System by Wavelet Transform

针对非均匀调制演变非平稳随机激励,提出一种分析系统演变非平稳随机响应问题的一般方法.在演变非平稳随机激励模型的基础上,通过小波变换建立起演变非平稳随机激励的演变功率谱,然后进行随机响应分析,得到系统在非均匀调制演变非平稳随机激励下的响应.结合具体算例,通过数值仿真说明所提方法的有效性和正确性.

For nonuniformly modulated evolutionary non-stationary random excitations, a general method of analyzing evolutionary non-stationary random responses of systems is presented. Firstly, based on the evolutionary non-stationary random excitation model, the evolutionary power spectrum density function （EPSD） of a random excitation can be given by wavelet transform. Then, through random responses analysis of system, the non-stationary random responses of a system subjected to nonuniformly modulated evolutionary non-stationary random excitations are obtained. Finally the validity of the method presented is illustrated in examples by numerical simulation.