Dynamic Response of Tensile Membrane Structure under Coupling Effect of Wind and Rain  

作　　者：Weiju Song Heyuan Yang Jie Chen Weiju Song;Heyuan Yang;Jie Chen(School of Civil Engineering, Tianjin University, Tianjin, China;Huaheng Construction Group Co., Ltd., Ningbo, China;School of Civil Engineering, Hebei University of Engineering, Handan, China)

机构地区：[1]School of Civil Engineering, Tianjin University, Tianjin, China [2]Huaheng Construction Group Co., Ltd., Ningbo, China [3]School of Civil Engineering, Hebei University of Engineering, Handan, China

出　　处：《Journal of Applied Mathematics and Physics》2024年第11期3816-3826,共11页应用数学与应用物理（英文）

摘　　要：Because of the small stiffness and high flexibility, the tension membrane structure is easy to relax and damage or even destroy under the action of external load, which leads to the occurrence of engineering accidents. In this paper, the damped nonlinear vibration of tensioned membrane structure under the coupling action of wind and rain is approximately solved, considering the geometric nonlinearity of membrane surface deformation and the influence of air damping. Applying von Karman’s large deflection theory and D’Alembert’s principle, the governing equations are established for an analytical solution, and the experimental results are compared with the analytical results. The feasibility of this method is verified, which provides some theoretical reference for practical membrane structure engineering design and maintenance.Because of the small stiffness and high flexibility, the tension membrane structure is easy to relax and damage or even destroy under the action of external load, which leads to the occurrence of engineering accidents. In this paper, the damped nonlinear vibration of tensioned membrane structure under the coupling action of wind and rain is approximately solved, considering the geometric nonlinearity of membrane surface deformation and the influence of air damping. Applying von Karman’s large deflection theory and D’Alembert’s principle, the governing equations are established for an analytical solution, and the experimental results are compared with the analytical results. The feasibility of this method is verified, which provides some theoretical reference for practical membrane structure engineering design and maintenance.

关 键 词：Tension Membrane Structure Wind and Rain Coupling Effect Dynamic Response Nonlinear Vibration 

分 类 号：O17[理学—数学]