摘要
提出了结构随机振动分析的等效激励法,基于结构所受随机荷载的功率谱密度构造了等效激励荷载,以此作为该结构的确定性荷载输入,采用常规的结构动力分析方法计算出结构的响应,然后对响应进行Fourier分解,求得单个虚拟激励对应的响应,再进一步求出结构响应的功率谱密度。分析了单点激励下非平稳随机响应的问题,讨论了非线性系统随机响应情况。
An equivalent excitation method for random structural vibration analysis is proposed.Based on the power spectral density of input excitation,an equivalent excitation is constructed,which is adopted as a determinate input load to calculate the responses of the structure,then these responses are decomposed to special responses corresponding to their specific pseudo-excitations,and the power spectral density of the responses is derived using the specific responses.The random vibration of a linear structure under one point non-stationary excitation is studied,and a case for a nonlinear structure is discussed.
出处
《工程力学》
EI
CSCD
北大核心
2010年第A01期20-22,33,共4页
Engineering Mechanics
基金
国家自然科学基金项目(50678039)
关键词
随机振动分析
虚拟激励
等效激励
功率谱
非平稳随机激励
random vibration analysis
pseudo-excitation
equivalent excitation
power spectral density
non-stationary excitation