Safety Limits for Pre-Tension of Membrane Roofs on Closed Structure in Air Flow  

作　　者：Weiju Song Heyuan Yang Heding Yu Weiju Song;Heyuan Yang;Heding Yu(School of Civil Engineering, Tianjin University, Tianjin, China;Huaheng Construction Group, 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, Ningbo, China [3]School of Civil Engineering, Hebei University of Engineering, Handan, China

出　　处：《Applied Mathematics》2024年第11期818-827,共10页应用数学（英文）

摘　　要：The stiffness required for the normal operation of membrane roof comes from the application of pre-tension. When the pre-tension is too small, it is easy to cause instability under the action of wind load, which leads to excessive deformation of the roof and local or overall damage. In order to ensure that the membrane roof is always in normal use state in the airflow field, this paper takes the membrane pretension as the control parameter to study the value of safety pretension of closed membrane roof. According to the theory of large deflection of membrane and Galerkin method, the nonlinear vibration differential equation of membrane roof under static wind is established, and the critical state of safe working of membrane roof is determined by judging the stability of the solution of the equation, and the expression of critical wind speed is obtained. By establishing the inequality relationship between local design wind speed and critical wind speed, the safety pretension limit of membrane roof under specific site can be obtained. The research shows that the safety pretension limits of closed membrane roofs are different in different areas under different design return periods. In addition, the value of safety pretension is related to the film geometry.The stiffness required for the normal operation of membrane roof comes from the application of pre-tension. When the pre-tension is too small, it is easy to cause instability under the action of wind load, which leads to excessive deformation of the roof and local or overall damage. In order to ensure that the membrane roof is always in normal use state in the airflow field, this paper takes the membrane pretension as the control parameter to study the value of safety pretension of closed membrane roof. According to the theory of large deflection of membrane and Galerkin method, the nonlinear vibration differential equation of membrane roof under static wind is established, and the critical state of safe working of membrane roof is determined by judging the stability of the solution of the equation, and the expression of critical wind speed is obtained. By establishing the inequality relationship between local design wind speed and critical wind speed, the safety pretension limit of membrane roof under specific site can be obtained. The research shows that the safety pretension limits of closed membrane roofs are different in different areas under different design return periods. In addition, the value of safety pretension is related to the film geometry.

关 键 词：Membrane Roof PRE-TENSION Aerodynamic Stability Critical Wind Speed 

分 类 号：O17[理学—数学]