带肋局部双层网壳的失稳特征研究  

INSTABILITY BEHAVIOR OF PARTIAL DOUBLE-LAYER LATTICE-RIBBED DOMES

作　　者：陈务军[1] 付功义[1] 龚景海[1] 董石麟[1] 

机构地区：[1]上海交通大学空间结构研究中心,上海200030

出　　处：《工程力学》2002年第4期61-66,共6页Engineering Mechanics

基　　金：国家自然科学基金项目(59895410; 5.3.5)

摘　　要：应用几何非线性有限元理论,考虑大位移和轴力对刚度的影响,采用广义增量法,建立杆、梁、特殊梁(一端刚接一端铰接)组合适宜局部双层网壳构造特点的数值分析方法。对带肋局部双层网壳的稳定性状进行了深入分析,研究了刚度矩阵特征值、增广平衡矩阵最小奇异值、广义载荷等结构特征参数在第一临界点和后屈曲路径的变化特点,同时分析了结构参数、边界条件、解析模型的影响。根据分析结果,可得到对工程应用有指导意义的结论。On the basis of the geometrically nonlinear finite element theory and the generalized incremental algorithm a numerical method is developed for analysis of partial double-layered reticulate-ribbed dome. The composite system consists of three types of elements: bar elements, beam element and a particular beam element with one end pinned and the other end clamped. The stability of partial double layer lattice-ribbed domes is investigated comprehensively. The influence of structural parameters, analytical models for different practical joints, etc, on the stability of the structure is addressed. Meanwhile, the numerical characteristics for the first and second eigenvalues of the structural stiffness matrix, the minimum singular value of the augmented equilibrium matrix and the generalized load are analyzed. A series of conclusions are drawn, which provides use guidelines on practical engineering.

关 键 词：局部双层网壳 失稳特征 分歧失稳 极值失稳 广义增量 后屈曲路径 边界条件 几何非线性有限元 

分 类 号：TU33[建筑科学—结构工程] TU311.2