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Computation method of zero-stress state of pneumatic stressed membrane structure

Science China(Technological Sciences) 2012年第4期55卷 717-724页

作者： ZHAO JunZhao CHEN WuJun FU GongYi LI RuiXiong Space Structures Research Center Shanghai Jiaotong UniversityShanghai 200030

The whole analysis process of pneumatic stressed membrane structure contains nine states and seven analysis *** zero-stress state is the corner-stone of analysis and design of pneumatic stressed structure,and has significant impact on the pre-stressed state and load *** to the logical model of the whole numerical analysis process of pneumatic stressed structure,a numerical analysis method to solve the zero-stress state from the elasticized equilibrium state was firstly proposed,called linear compatibility matrix M-P inverse ***,the pneumatic membrane stressed structure was transferred into grid structure by using membrane link to simulate membrane ***,on the basis of equilibrium matrix theory of pin joint structure and small deformation assumption,compatibility equation of system was ***,the unstressed length and elongation of links were calculated from the tension and material parameters of elasticized equilibrium ***,using compatibility matrix M-P inverse,the nodal displacement was calculated by solving compatibility equation,the configuration of zero-stress state could be obtained through reverse superposition,and the stress was *** to the algorithm,the program was coded with *** correctness and efficiency of this method were verified by several numerical examples,and it could be found that one elasticized equilibrium state corresponded to one configuration of the zero-stress *** work has theoretical significance and practical guidance value for pneumatic membrane structural design.

关键词： pneumatic stressed membrane structure elasticized equilibrium state the whole analysis process zero-stress state compatibility matrix M-P inverse

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