基于质量参与系数的空间结构动力模型简化  

A New Simplified Method for the Dynamic Model of Spatial Structures Based on Mass Participation Factors

作　　者：廖冰[1] 罗永峰[1] 王磊[1] 郭小农[1] 

机构地区：[1]同济大学建筑工程系,上海200092

出　　处：《湖南大学学报（自然科学版）》2013年第9期7-13,共7页Journal of Hunan University:Natural Sciences

基　　金：国家自然科学基金资助项目(51078289)

摘　　要：本文根据大跨度空间结构的动力特性,获得了大跨度空间结构地震反应的内在特征、变形机理及其振型分布规律.针对采用传统振型叠加法分析大跨度空间结构地震反应时质量参与系数累积速度慢的特点,根据质量参与系数的定义、振型截断原理及两者间的理论关系,提出了一种适用于大跨度结构动力分析整体计算模型的简化方法.数值算例验证了本文简化方法的有效性、准确性及计算效率.数值分析结果表明,本文简化方法简单、高效,且具有足够的分析精度.Due to structural stiffness characteristics, there are essential differences in the dynamic be- haviors and responses between large-span spatial structures and traditional multi-storey or high-rise build- ings. Therefore, it is difficult, sometimes even impossible, to calculate the earthquake responses of spatial structures with the traditional mode superposition of response spectrum method, since the mass participa- tion factors always accumulate very slowly. Aiming at the deficiency of the method, the dynamic charac- teristics of spatial structures were investigated. The essential characteristics and the deformation mecha- nism of earthquake responses of spatial structures, including the distribution law of vibration modes, were revealed and concluded. Based on the definition of mass participation factors （MPF）, the principle of vi- bration mode truncation and the mutual theoretical relation of both, a new simplified method for the dy- namic computational models of large-span spatial structures was proposed. Then, numerical analysis of a numerical example was conducted to verif simplified method is effective, efficient an tial structures. y d this method. The numerical results have indicated that the new accurate for the earthquake response analysis of large-span spa-

关 键 词：空间结构 动力特性 质量参与系数 动力模型简化方法 

分 类 号：TU311.3[建筑科学—结构工程]