考虑剪力滞后影响的框筒结构动力时程分析

Dynamic Time-History Analysis of Frame-Tube Structure Considering the Shear Lag Effect

框筒结构采用薄壁杆件模型。先从结构总势能出发,求得哈密顿对偶体系,由两端边值问题精细积分法中的区段混合能矩阵推导出结构的层单元刚度矩阵,利用有限元刚度集成法形成结构的总体刚度矩阵。采用多质点体系质量矩阵,阻尼矩阵采用瑞雷阻尼,再利用动力时程分析的精细积分法对结构进行动力时程分析,编制相应的Matlab程序。最后通过具体算例分析,将结果与文献结果进行对比,从而验证了本文方法分析动力问题的可行性。

Frame-tube structure uses thin-walled model.The Hamiltonian dual system which considers the shear lag effect is obtained from total potential energy.The layer element stiffness matrix of the structure is deduced from the section mixed energy in the precise integration method of boundary value problem at both ends.The finite element stiffness integration is used to form a total stiffness matrix.The paper makes an analysis of the dynamic time-history of structure by using many particle system quality matrix,Riley damping matrix and the precise integration method for analysis of the dynamic time-history,and compiles the corresponding Matlab.Finally the specific example is analysed,whose result is compared with the results in literature,to verify the feasibility of the method to analyze the dynamic problem in this paper.