桂国庆, 何玉敖. 非比例阻尼结构体系近似解耦分析中的误差研究[J]. 工程力学, 1994, 11(4): 40-45.
引用本文: 桂国庆, 何玉敖. 非比例阻尼结构体系近似解耦分析中的误差研究[J]. 工程力学, 1994, 11(4): 40-45.
Gui Guoqing, He Yu'ao. STUDY ON ERRORS OF APPROXIMATE DECOUPLING ANALYSIS FOR NON-PROPORTIONALLY DAMPED STRUCTURAL SYSTEMS[J]. Engineering Mechanics, 1994, 11(4): 40-45.
Citation: Gui Guoqing, He Yu'ao. STUDY ON ERRORS OF APPROXIMATE DECOUPLING ANALYSIS FOR NON-PROPORTIONALLY DAMPED STRUCTURAL SYSTEMS[J]. Engineering Mechanics, 1994, 11(4): 40-45.

非比例阻尼结构体系近似解耦分析中的误差研究

STUDY ON ERRORS OF APPROXIMATE DECOUPLING ANALYSIS FOR NON-PROPORTIONALLY DAMPED STRUCTURAL SYSTEMS

  • 摘要: 对于非比例阻尼结构体系的动力分析,一种常用的方法就是用一个选定的对角矩阵来等效耦合的模态阻尼矩阵,使体系方程解耦。本文研究了这种近似解耦方法所引起的近似误差,导出了误差范数,并得到了体系精确解所在范围。研究结果表明:近似解耦方法有一定的适用性。

     

    Abstract: For dynamic analysis of non-proportionally damped structural systems,one common procedure is to decouple the motion equations of the systems by using a selected diagonal matrix being equivalent to the normalized damping matrix.In this paper,the approximate errors introduced by this method are studied,not only deriving the norm of the errors but also obtaining the bounds in which the exact solutions lie. The results show that the approximate decoupling method can be applied in certain cases.

     

/

返回文章
返回