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机构地区:[1]广东省建筑科学研究院,广东广州510500 [2]浙江大学土木系,浙江杭州310027
出 处:《振动工程学报》2006年第3期346-353,共8页Journal of Vibration Engineering
摘 要:根据大挠度薄壳的无矩理论,建立了薄膜屋盖的控制方程。采用势流理论并结合空气动力学中的薄翼型理论推导了作用于封闭式薄膜屋盖表面的气动力,从而建立风与薄膜屋盖的动力耦合作用控制方程。分别得到了二维和三维薄膜屋盖模型的无量纲特征方程,并利用单模态法求解屋盖的临界发散失稳风速和双模态法求解屋盖的临界颤振失稳风速。通过二维模型和三维模型的结果分析和对比,得到了屋盖气动力失稳的临界风速及其相应的规律。The governing equations of membrane roofs are obtained by applying large deflection membrane theory of thin shells, and the potential flow theory and the thin airfoil theory in aerodynamics are adopted to define the aerodynamic forces on roof surface. Thus, the wind-roof interaction dynamic governing equations for closed membrane roofs are established. Dimensionless characteristic equations of two-dimension and three-dimension membrane roof models are obtained. The critical divergence wind velocity is calculated using single mode method, and critical flutter wind velocities is obtained employing bimodal method. According to analyze and compare the results of two-dimension and three-dimension models, critical wind velocity of aerodynamic instability and its corresponding conclusions are achieved.
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