摘要
为建立空间网格结构振型遴选准则,总结了空间网格结构地震反应计算方法及其存在的问题,通过基本模型比较给出构件承剪型结构和构件轴力型结构的新概念,并指出质量参与系数法为仅适于构件承剪型结构截取振型的计算方法.针对空间网格结构的特点,从振型能量参与的角度,引入动力功参与系数和静力功参与系数的概念,并导出了相应的计算公式,得到了空间网格结构模态遴选的理论依据,提出一种基于振型能量遴选振型的新方法(阈值法).通过多高层和单层球面网壳算例分析,验证了质量参与系数法是阈值法的退化形式,同时证明,采用阈值法时,仅选取少数主要振型,就可求得网格结构满足设计精度要求的地震反应数值解.通过与时程法的对比,进一步说明了阈值法较高的计算效率.
In order to establish a criterion for vibration mode selection of spatial latticed structures,current seismic analysis methods are summarized.New concepts of member shear resistance structures（MSRS） and member axial resistance structures（MARS） are defined.It is pointed out that the mass participation factor method is only suitable for structures with lateral stiffness depending on member shear.According to dynamic characteristics of spatial latticed structures and from the viewpoint of vibration mode energy contribution,dynamic work participation factor and static work participation factor are introduced.The corresponding formulas are derived,and a theoretical basis for vibration mode selection is obtained.A new vibration mode selection method,named threshold value method（TVM）,is proposed for modes selection of the spatial latticed structures.Two numerical examples are analyzed for verification.The results show that the criterion of mass participation factors is a degradation type of threshold value method.When TVM is adopted,higher accuracy of dynamic responses can be obtained with only a few dominant vibration modes selected.TVM is efficient comparing with the time history analysis method.
出处
《东南大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2011年第3期636-641,共6页
Journal of Southeast University：Natural Science Edition
基金
高等学校博士学科点专项科研基金资助项目(20070247002)
关键词
空间网格结构
构件承剪型结构
构件轴力型结构
主振型
阈值法
spatial latticed structure
member shear resistance structures
member axial resistance structures
dominant vibration mode
threshold value method
