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基于质量参与系数的空间结构动力模型简化
引用本文:廖 冰,罗永峰,王 磊,郭小农.基于质量参与系数的空间结构动力模型简化[J].湖南大学学报(自然科学版),2013,40(9):7-13.
作者姓名:廖 冰  罗永峰  王 磊  郭小农
作者单位:同济大学建筑工程系
基金项目: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.

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

A New Simplified Method for the Dynamic Model of Spatial Structures Based on Mass Participation Factors
LIAO Bing,LUO Yong-feng,WANG Lei,GUO Xiao-nong.A New Simplified Method for the Dynamic Model of Spatial Structures Based on Mass Participation Factors[J].Journal of Hunan University(Naturnal Science),2013,40(9):7-13.
Authors:LIAO Bing  LUO Yong-feng  WANG Lei  GUO Xiao-nong
Institution:LIAO Bing;LUO Yong-feng;WANG Lei;GUO Xiao-nong;Dept of Building Engineering,Tongji Uni;
Abstract:Due to structural stiffness characteristics, there are essential differences in the dynamic behaviors and responses between large-span spatial structures and traditional multi-storey or high-rise buildings. 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 participation factors always accumulate very slowly. Aiming at the deficiency of the method, the dynamic characteristics of spatial structures were investigated. The essential characteristics and the deformation mechanism 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 vibration mode truncation and the mutual theoretical relation of both, a new simplified method for the dynamic computational models of large-span spatial structures was proposed. Then, numerical analysis of a numerical example was conducted to verify this method. The numerical results have indicated that the new simplified method is effective, efficient and accurate for the earthquake response analysis of large-span spatial structures.
Keywords:spatial structure  dynamic characteristics  mass participation factor (MPF)  simplified method of dynamic computation model
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