平坦二维薄膜结构的失稳临界风速

给出了一种利用稳定性理论确定薄膜结构颤振失稳临界风速的方法。首先 ,利用扁壳的无矩理论得到了平坦薄膜结构的基本力学方程。假设来流为均匀的理想势流 ,利用流体力学中的势流理论确定了薄膜结构上的气动力 ,从而得到风与薄膜结构的气动耦合作用方程。然后 ,采用Bubnov Galerkin法将复杂的耦合作用方程转换为一组具有常系数的二阶微分方程 ,最后采用Routh Hurwitz稳定性准则确定了薄膜结构的临界风速。

INSTABILITY CRITICAL WIND VELOCITY OF FLAT MEMBRANE STRUCTURES

A method is given to determine the critical wind velocity of membrane structures by using the stability theory.First,the fundamental equations of flat membrane structures are obtained by applying the non-moment theory of thin shallow shells. The coming flow is assumed as a homogeneous ideal potential flow.The aerodynamic force acted on the membrane is determined using the theory of potential flow in fluid mechanics.Thus,the equations of wind-structure interaction are obtained.Then,the method of Bubnov-Galerkin is adopted to transform the complicated equations of fluid-structure interaction into a system of second order linear differential equations with constant coefficients.Finally,Routh-Hurwitz stability criterion is used to determine the critical wind velocity of flat membrane structures.