Vibration characteristics of saddle membrane structure under impact load

Abstract

Taking the saddle membrane structure as the research object, the vibration of the saddle membrane structure under the impact load is studied. First, the nonlinear differential equation of structural vibration under impact load is derived, in which the orthotopic of membrane material, air damping, and geometric nonlinearity of membrane deformation are considered. Then, it is assumed that a small ball impacts the membrane surface with a certain impact velocity difference to simulate the impact load. Finally, the stochastic perturbation method is used to solve the equation, and the displacement function of the vibration response of the saddle membrane structure is obtained. At the same time, the vibration of the saddle membrane structure is numerically simulated and compared with the analytical theory. The results show that the vibration displacement of saddle membrane structure decreases with the increase of membrane pretension or arch span ratio, and increases with the increase of velocity difference. It can be seen that the theoretical model is feasible in studying the vibration characteristics of saddle membrane structure under impact load, and the results can accurately predict the response law of membrane structure.