(1 广州市建筑科学研究院，510440;2 华南理工大学土木工程系，广州510640)

［提要］建立了膜结构与弹性支承结构整体荷载分析的基本方程，支承结构考虑了梁单元的几何非线性效应，给出了非线性方程组的迭代求解公式，编制了整体荷载分析程序。通过算例探讨了整体与非整体分析，以及支承梁单元分别采用小变形理论与有限变形理论对计算结果的影响。计算结果表明，结构采用不同的分析方法得到的位移与内力的计算结果存在一定差异，其中支承结构的刚度是重要的影响因素。

［关键词］膜结构；支承结构；整体荷载分析；几何非线性

Integral Loading Analysis for Membrane Structures and Supporting Structures/Su Jianhua1，Han Dajian2(1 Guangzhou Institute of Building Science,Guangzhou 510440,China; 2 Department of Civil Engineering，South China University of Technology,Guangzhou 510640,China)

Abstract:The integral loading analysis equations are derived. To the spatial beam element,theories of large deformation and geometrical nonlinearity are considered, and iterative formula to solve the nonlinear equations is given. The programming for the integral loading analysis is accomplished and the integral loading analysis for the membrane structures and the supporting structures is analyzed by some examples. It shows that the structure results of internal forces and displacements in integral analysis are different from those in individual analysis, and the rigidity of the supporting structure is one of the most important influencing factors.

Keywords:membrane structure; supporting structure; integral loading analysis; geometry nonlinearity