摘要
将扁壳的无矩理论和流体的理想势流理论结合起来对薄膜结构的气弹动力稳定性进行了研究,提出了结构失稳的判别准则,确定了结构失稳临界风速。首先应用扁壳的无矩理论建立了薄膜结构的动力平衡方程。然后假设来流为均匀的理想势流,考虑流固耦合作用,对风向沿结构拱向和垂向时分别采用不同的气弹模型确定了作用于薄膜表面的气动力,得到了两种情况下薄膜结构的气弹动力耦合作用方程。利用Bubnov-Galerkin方法将此耦合作用方程转化为一常系数二阶微分方程,并根据Routh-Hurwitz稳定性准则确定了薄膜的失稳临界风速。最后通过对临界风速的影响因素进行分析,得到了一些重要结论,并提出了防止薄膜结构气弹失稳的一些基本措施。
The aerodynamic critical instability wind studied by combining the non-moment theory of thin velocity of three-dimensional membrane structures is shallow shells and the potential flow theory in fluid mechanics. The dynamic equilibrium equation of the structure is established using the non-moment theory of thin shells. It is assumed that the coming flow is ideal uniform potential flow. The aerodynamic interaction equations of the membrane structure are obtained for the wind in the arch or sag direction of the structure based on the aerodynamic force determined using potential flow theory and thin airfoils theory. The wind-structure interaction is taken into account in the equations. Bubnov-Galerkin approximate method is applied to transform the interaction equation into a second order linear ordinary differential equation; and Routh-Hurwitz stability criterion is used to determine the critical instability wind velocity. Finally, some important conclusions are obtained from parametric analysis.
出处
《工程力学》
EI
CSCD
北大核心
2006年第9期18-24,29,共8页
Engineering Mechanics
基金
国家自然科学基金重点项目(50338010)
教育部高等学校优秀青年教师教学科研奖励计划资助项目
关键词
薄膜结构
气弹动力失稳
流固耦合作用
临界风速
势流
membrane structures
aerodynamic instability
wind-structure interaction
critical wind velocity
potential flow
