Program Design And Research Of The Integral Static Analysis Of Mixed Structure With Cable-truss-beam-membrane

Tension membrane structures, as a type of tension integrity structure, have been gradually developed since the 60's of the 20`h century and increasingly used in China in recent years. The mixed structure with cable-truss-beam-membrane is the structure system assembled by cable, truss, beam and membrane. The interaction between the membrane structure and the supporting structure is one of the difficult and key problems in static analysis. It is concerned with whether the analysis result is accurate and whether the strength and rigidity of the structure are satisfied with the safety requirement. The Chinese code of《Technical specification for membrane structures》suggests that supporting structure and membrane structure should be analyzed integrally if large displacements occur for the supporting nodes. Consequently, it is very necessary to study the problems of interactions between the membrane and the supporting structures during loading analysis.In this paper, the static analysis is based on the force density method. The main work of the thesis for the integral static analysis of mixed structure with cable-truss-beam-membrane is summarized as follows:(1) The concept of elastic T-elements is put forward and leads to the tangent stiffness matrix of elastic T-elements, hence we come to the concept of the elastic stiffness matrix of elastic T-elements and the geometry stiffness matrix of elastic T-elements is put forward.(2) The CSR matrix storage technology method and Gauss-Seidel method are used to the integral static analysis of mixed structure with cable-truss-beam-membrane after the mixed structure with cable-truss-beam-membrane being departed into many elements, this improves the computational efficiency of nonlinear iteration on each step.(3) A special and efficient method is designed to solve the possible wrinkle problem of membrane in loading analysis process. This method can improve the convergence speed effectively.(4) A method of load step automatic selection is designed in the programming process. This rational load step can improve the convergence speed effectively in the loading analysis process.(5) The balance equations of integral loading analysis of mixed structure with cable-truss-beam-membrane are derived, then programs of integral loading analysis of mixed structure with cable-truss-beam-membrane are accomplished. Some meaningful conclusions are given after lots of examples being analyzed by this program.