Numerical method for the form finding and force analysis of non-prestressed cable-membrane structures with mechanism displacement

Abstract

The non-prestressed cable-membrane structures exhibit significant nonlinear characteristics such as mechanism displacement and large deformation under external loads. Analyzing such structural behaviors using traditional finite element analysis methods is challenging due to the singularity of the stiffness matrix and the non-convergence of the iterations. In this study, a numerical method based on the vector form intrinsic finite element (VFIFE) method for form finding and force analysis of non-prestressed cable-membrane structures with mechanism displacement is introduced. First, the basic principle and calculation process for analyzing the deformation and internal force of cable-membrane structures are introduced. Second, the applicability of the present method is demonstrated by four numerical examples, including static analysis of the double parabolic inflated membrane and the hemispherical inflated cable-membrane, mechanism motion simulation of the cloth, and large deformation calculation for the flexible curtain. Finally, a spatial non-prestressed cable-membrane model experiment is performed. The effectiveness of VFIFE method is further validated by comparing the measured displacement and internal force to the numerical results. It is shown that the numerical method proposed in this study can effectively simulate the morphological evolution and internal force distribution for the flexible cable-membrane structures with large mechanism displacement, providing a reference for analyzing such practical engineering problems involving strongly nonlinear characteristics.