Theoretical and experimental study on nonlinear dynamic response of composite umbrella membrane structure under hail impact

摘要

Based on von Karman's large deflection theory, the nonlinear dynamic response governing equation of composite umbrella pretensioned membrane structure under hail load is established. The vibration mode function is obtained by the Bessel function and Euler equation. The governing equation is solved by the KBM perturbation method and Galerkin method, and the approximate analytical theoretical solution of the dynamic response is obtained. In numerical analysis, the geometric model of umbrella pretensioned membrane structure is established by using ANSYS software, and then the numerical results of dynamic response are obtained by the LS-DYNA module. At the same time, the dynamic experiments of umbrella membrane structure under hail load are conducted. Finally, the analytical solutions are validated against the numerical and experimental results, which shows a good agreement. Therefore, the theoretical methods and analytical solutions in this paper provide references for the analysis of the dynamic response and design of the membrane structures.