基于约束模态综合法的非比例阻尼系统地震响应分析
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摘要
为提高大型复杂结构体系的计算效率,在深入分析约束模态综合法原理的基础上,论述了非比例阻尼体系中约束模态综合法对阻尼矩阵的处理方法,并探讨了如何缩减对接界面自由度的问题。同时,通过算例详细说明了该方法在高层建筑结构动力时程分析中的应用。计算结果表明,在利用约束模态综合法求解非比例阻尼体系的动力问题时,文中所采用的阻尼矩阵的处理方法是有效的,与有限元直接法相比具有很好的精度。对于地基土-高层建筑结构体系的地震响应分析问题而言,缩减对接界面自由度的约束模态综合法可达到很好的计算精度,能够更大程度的提高计算效率,为大型复杂结构的动力时程分析研究和工程应用提供了一定的依据和方便。
In order to improve computational efficiency of complicated large-scale structures,based on constrained mode synthesis theory,this paper presents the method of forming the damping matrix by constrained mode synthesis method in a non-proportional damped system,and the reduction method of degree of freedom on the interface is also introduced.Furthermore,the method is used in an dynamic response analysis of multi-story building.The results show that the proposed method of forming the damping matrix by constrained mode synthesis method in a non-proportional damped system is effective and has a good accuracy comparing with finite element method.For solving problem of seismic analysis of soil-structure system,the proposed reduction method of degree of freedom on the interface of constrained mode synthesis method is accurate and could improve the efficiency largely.It provides a reference and convenience for dynamic response analysis or engineering applications of complicated large-scale structures.
In order to improve computational efficiency of complicated large-scale structures,based on constrained mode synthesis theory,this paper presents the method of forming the damping matrix by constrained mode synthesis method in a non-proportional damped system,and the reduction method of degree of freedom on the interface is also introduced.Furthermore,the method is used in an dynamic response analysis of multi-story building.The results show that the proposed method of forming the damping matrix by constrained mode synthesis method in a non-proportional damped system is effective and has a good accuracy comparing with finite element method.For solving problem of seismic analysis of soil-structure system,the proposed reduction method of degree of freedom on the interface of constrained mode synthesis method is accurate and could improve the efficiency largely.It provides a reference and convenience for dynamic response analysis or engineering applications of complicated large-scale structures.
引文
李忠献,何玉傲,1992.非经典阻尼结构动力分析模态综合法论述.工程力学,9(1):51―58.
楼梦麟,1997.结构动力分析的子结构方法.上海:同济大学出版社.
王文亮,杜作润,1985.结构振动与动态子结构方法.上海:复旦大学出版社.
Chopra Anil K.,2001.Dynamics of structures:theory and applications to earthquake engineering,second edition.Berkeley:University of California,454―464.
Craig Jr R.R.,Chang C.,1976.A review of substructure coupling methods for dynamic analysis.Advances in Engineering Science,2:393—408.
Clough Ray W.,Soheil Mojtatedi,1976.Earthquake response anaysis considering non-proportional damping.Earthquake Engineering and Structural Dynamic,4:489―496.
楼梦麟,1997.结构动力分析的子结构方法.上海:同济大学出版社.
王文亮,杜作润,1985.结构振动与动态子结构方法.上海:复旦大学出版社.
Chopra Anil K.,2001.Dynamics of structures:theory and applications to earthquake engineering,second edition.Berkeley:University of California,454―464.
Craig Jr R.R.,Chang C.,1976.A review of substructure coupling methods for dynamic analysis.Advances in Engineering Science,2:393—408.
Clough Ray W.,Soheil Mojtatedi,1976.Earthquake response anaysis considering non-proportional damping.Earthquake Engineering and Structural Dynamic,4:489―496.
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