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To study the shape determination and solve the self-stress modes of cable-truss tensile structures, an improved force iteration method based on reasonable shape was proposed by the finite element software ANSYS. Firstly, a simple formula for shape determination was derived from the rational shape based on the topological relation of the cable-truss tensile structure. Then, an improved force iteration method was proposed to solve the self-stress modes of the cable-truss tensile structures. In the iteration process, the updated cable forces were gradually close to the target values, and the unbalanced displacements of the structure under target pre-stresses were obtained. The results of examples show that the cable-truss frame with reasonable shape is determined by one-time, and the self-stress mode is obtained after about 5 iterations. The largest error between the results of the proposed method and those of the existed method is 0.48%, meeting the engineering requirements. After the self-stress mode obtained from the plain cable-truss frame is put into the spatial cable-truss tensile structure, the calculation results are close, and the largest error of the internal forces is 0.030%. The unbalanced displacements are small, proving the feasibility of the assembly of spatial cable-truss tensile structures by plain cable-truss frames. © 2020, Editorial Department of Journal of Southeast University. All right reserved.
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