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 引用本文: 国巍 余志武. 一种计算非比例阻尼结构地震响应的新方法[J]. 力学学报, 2011, 43(6): 1170-1180.
Wei Guo Zhiwu Yu. A new method for calculating seismic response of non-proportionally damped structures[J]. Chinese Journal of Theoretical and Applied Mechanics, 2011, 43(6): 1170-1180.
 Citation: Wei Guo Zhiwu Yu. A new method for calculating seismic response of non-proportionally damped structures[J]. Chinese Journal of Theoretical and Applied Mechanics, 2011, 43(6): 1170-1180.

## A new method for calculating seismic response of non-proportionally damped structures

• 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.

Abstract: For seismic response analysis of structures withnon-proportional damping characteristic, the derived and presentedtraditional calculation methods based on proportional damping will no longerbe accurate in theory, and in some cases even produce incorrect results. Inview of such problems, engineering and academia often adopt the directintegration method for exact solution, which would need relatively largecomputation cost, and the forced decoupling method with high efficiency forapproximate solution which would introduce unknown error. Taking intoaccount the equilibrium of accuracy and efficiency, a new method forcalculating non-proportionally damped structure's seismic response ispresented, which is named as multiple-degree-of-freedom modal equationmethod. The derivation also points out that the direct integration methodand forced decoupling method are two special extreme forms which can beobtained from the proposed method, and thereby the integrated theory systemfor non-proportionally damped structure's seismic response calculation isestablished. Finally, numerical study is carried out to verify theavailability of the proposed method in the calculation of seismic responseof non-proportionally damped structures, and it shows that along with thechanging of dimension number of equation and partitioned mode of structurethe efficiency and accuracy of the proposed method also gradually change andcan be adjusted.

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