球面组合网壳结构的几何非线性稳定分析  

THE GEOMETRICALLY NONLINEAR STABILITY ANALYSIS OF THE COMPOSITE RETICULATED SPHERICAL SHELL

作　　者：朱忠义[1] 董石麟[1] 

机构地区：[1]济南市建筑设计研究院,浙江大学

出　　处：《空间结构》1996年第1期1-11,共11页Spatial Structures

摘　　要：本文利用组合结构有限元法进行了球面组合网壳结构的几何非线性稳定分析，给出了Ｔ．Ｌ．坐标系下空间梁单元和满足离散Ｋｉｒｃｈｈｏｆｆ假定的三角形板壳元的非线性刚度矩阵，并利用柱面弧长法有效跟踪了结构的荷载－位移曲线。本文详细分析了４０ｍ跨度的球面组合网壳及其特例──带肋壳、光面壳及钢网壳的变形路径、位移形态和临界荷载，得到了一些有价值的结论。The geometrically nonlinear stability analysis of the composite reticulated spherical shell is studied in this paper by nonlinear finite element method of composite structure.The tangent stiffness matrixes of spaal beach element and 'discrete Kirchhoff'shell element are derived, and the nonlinear load-deflection resPOnse of the structure is analyzed by the cylindrical arc-length method.Finally taking a composite reticulated spherical shell with 40m span as an example,the load-deflection response,deflection shapes and critical load are studied in details.The comparison of computed results of composite reticulated spherical shell with those of spherical ribbed shell,plain shell and reticulated shell is also studied.Some useful conclusions are obtained.

关 键 词：球面组合网壳结构 几何非线性稳定分析 荷载-位移曲线 变形路径 位移形态 临界荷载 单元分析 带肋壳 光面壳 钢网壳 

分 类 号：TU356.01[建筑科学—结构工程]