结构随机振动分析的等效激励法

详细信息

EQUIVALENT EXCITATION METHOD FOR RANDOM STRUCTURAL VIBRATION ANALYSIS

(College of Civil Engineering, Guangzhou University, Guangzhou, Guangdong 510006, China)

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。
- 随机振动分析 /
- 虚拟激励 /
- 等效激励 /
- 功率谱 /
- 非平稳随机激励
Abstract: 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.
- random vibration analysis /
- pseudo-excitation /
- equivalent excitation /
- power spectral density /
- non-stationary excitation