带TMD结构的随机地震响应分析的新方法

基于状态空间表达的TMD-结构动力微分方程,运用虚拟激励法,引入精细积分法进行计算,提出求解带TMD结构的非平稳随机地震响应计算的新方法.该方法避免了复模态法的复杂性,能精确快速求解带TMD结构的平稳和非平稳随机地震响应.采用结构的最大弹性层间位移角限值作为控制指标建立极限状态方程,基于首次超越破坏理论,进行了无控和TMD控制下结构的可靠度对比分析,建立起结构动力可靠度作为评价控制效果的性能指标.以1栋8层的剪切型钢框架结构作为算例,结果证实本方法的正确性.

A New Method for the Random Earthquake Response Analysis of the TMD-Structure

Based on the state-space expression of the dynamic differential equation of the TMD-structure, a new method for the random earthquake response analysis of the TMD-structure is proposed using the pseudo-excitation method and the precise integration method. This method can both get over the complicacies of the complex mode method and the insufficient accuracy of the mode-superposition response spectrum method, which is a fast and accurate method in calculating the random seismic response of the TMD-structure system with stationary and non-stationary excitations. Then, based on the first-passage failure theory, the comparision analysis is made between the structure with/w.o TMD control using the reliability index with the boundary of the maximum story drift angle. The dynamic reliability is taken as the index of performance to evaluate the control effectiveness. An 8-story shear-shaped steel frame structure has been employed herein as a numerical example, the results confirm that the proposed method has validity and efficiency.