一种计算非比例阻尼结构地震响应的新方法  

A NEW METHOD FOR CALCULATING SEISMIC RESPONSE OF NON-PROPORTIONALLY DAMPED STRUCTURES

作　　者：国巍[1] 余志武[1] 

机构地区：[1]中南大学土木工程学院高速铁路建造技术国家工程实验室,长沙410075

出　　处：《力学学报》2011年第6期1170-1180,共11页Chinese Journal of Theoretical and Applied Mechanics

基　　金：国家自然科学基金(50938008;51108466);中国博士后资助基金(20110491277);中南大学博士后资助基金;中南大学自由探索基金;中南大学引进人才科研基金资助项目~~

摘　　要：在非比例阻尼结构地震响应分析中,直接积分法和强迫解耦法均具有鲜明的优缺点,考虑到计算精度和计算效率的均衡,提出了一种可用于非比例阻尼结构地震响应计算的新方法——多自由度模态方程方法.同时,通过推导指出了直接积分法和强迫解耦法是所提出方法的两种特殊形式,从而构建了非比例阻尼结构地震响应计算方法的完整理论体系.最后采用数值算例验证了多自由度模态方程方法在非比例阻尼结构地震响应计算中的有效性,并说明其可以通过合理划分结构分区来调节计算精度和计算效率.For seismic response analysis of structures with non-proportional damping characteristic, the derived and presented traditional calculation methods based on proportional damping will no longer be accurate in theory, and in some cases even produce incorrect results. In view of such problems, engineering and academia often adopt the direct integration method for exact solution, which would need relatively large computation cost, and the forced decoupling method with high efficiency for approximate solution which would introduce unknown error. Taking into account the equilibrium of accuracy and efficiency, a new method for calculating non-proportionally damped structure＇s seismic response is presented, which is named as multiple-degree-offreedom modal equation method. The derivation also points out that the direct integration method and forced decoupling method are two special extreme forms which can be obtained from the proposed method, and thereby the integrated theory system for non-proportionally damped structure＇s seismic response calculation is established. Finally, numerical study is carried out to verify the availability of the proposed method in the calculation of seismic response of non-proportionally damped structures, and it shows that along with the changing of dimension number of equation and partitioned mode of structure the efficiency and accuracy of the proposed method also gradually change and can be adjusted.

关 键 词：非比例阻尼 地震响应 直接积分法 强迫解耦法 多自由度模态方程 

分 类 号：TU311.3[建筑科学—结构工程]