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(1 廣州市建筑科學(xué)研究院，510440;2 華南理工大學(xué)土木工程系，廣州510640)

［提要］建立了膜結(jié)構(gòu)與彈性支承結(jié)構(gòu)整體荷載分析的基本方程，支承結(jié)構(gòu)考慮了梁單元的幾何非線性效應(yīng)，給出了非線性方程組的迭代求解公式，編制了整體荷載分析程序。通過算例探討了整體與非整體分析，以及支承梁單元分別采用小變形理論與有限變形理論對計(jì)算結(jié)果的影響。計(jì)算結(jié)果表明，結(jié)構(gòu)采用不同的分析方法得到的位移與內(nèi)力的計(jì)算結(jié)果存在一定差異，其中支承結(jié)構(gòu)的剛度是重要的影響因素。

［關(guān)鍵詞］膜結(jié)構(gòu)；支承結(jié)構(gòu)；整體荷載分析；幾何非線性

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