剪切梁随机地震响应的李兹法

Ritz Method for Random Seismic Responses of Shear Beams

本文将常规的李兹法与虚拟激励法相结合以分析非均匀剪切梁的平稳随机地震响应。这方法对于各种正交或非正交阻尼，白噪声或非白噪声激励，都同样方便有效。

In this article, the conventional Ritz method is combined with the pseudo-excitation algorithm todeal with the stationary random seismic responses of non-uniform shear beams, such as their auto- orcross-PSD( Power Spectral Densities) , variances or covariances, and higher spectral moments. Be-cause this method does not require to use the natural modes of the shear beams, it is particularly con-venient for the analysis of non-uniform beams of which the modes are not too easy to solve. Thismethod is simple for both orthogonal and non-orthogonal damping cases, and equally efficient forwhite or non-white excitations. An example is given to show the satisfactory effect.