【摘要】 假定空气是可压缩、无粘性和有势的,推导了薄膜结构的非线性刚度矩阵和空气与薄膜结构耦合作用的气动力表达式。根据薄膜结构的受力特点,建立了薄膜结构与空气耦合系统的运动方程。采用有限元方法对无限域的空气进行简化,建立了空气与薄膜结构的耦合有限元模型,模拟了空气对薄膜结构的附加质量和声致阻尼影响。考虑薄膜结构的几何非线性,对结构在空气中的自由振动和受迫简谐振动进行了系统分析,同时探讨了流体环境对薄膜结构动力响应的影响因素。更多还原

【Abstract】 Air is assumed as compressible,inviscid and potential,nonlinear stiffness matrix and coupling aerodynamic expression have been deduced.According to the mechanical characteristic of membrane structures,coupling kinetic equation of the air-structures interaction is established.Infinite air medium is simplified as finite domain through finite element method,and the coupling finite element model of membrane and air domain is derived.The added air mass and radiation damping of the air surrounding the membrane structures are simulated.And then,the free and forced harmonic vibration problems considering the geometrical nonlinear it of the membrane structures,have been studied in the present paper.Meanwhile,the factors which affect dynamic responses of the membrane structures in air fluid are discussed.更多还原