摘要
将管道理论引入叠层板状结构的流致振动研究,在势流理论下,基于输流管道的哈密顿原理,建立叠层板状结构的流致振动模型,用微分求积法对模型的运动方程进行求解,研究系统零流速状态的固有频率和模态,运用特征值分析与响应分析结合的方法,确定系统失稳的临界流速与形式。结果表明,悬臂支承模型发生颤振失稳;两端固支模型发生屈曲失稳。
The pipe theory is introduced into the flow-induced vibration research of a plate-type structure. The mechanical model is set to describe the plate-type structure in potential flow. The dynamic equation is deduced based on Hamilton principle. The differential quadrature method is used to solve the differential equations. The system＇s natural frequencies and modes are investigated when the flow＇s velocity is zero. The critical velocity and the form of instability are studied by the means of eigenvalue analysis and response analysis. The results show that the cantilevered model has the flutter instability over the critical velocity, the fixed model has buckling instability over the critical velocity.
出处
《工程力学》
EI
CSCD
北大核心
2007年第9期31-36,共6页
Engineering Mechanics
基金
高等学校博士点基金项目(2002613012)
关键词
振动
稳定性
微分求积法
叠层板
不可压缩流
临界流速
vibration
stability
differential quadrature method
plate-type structure
incompressible flow
critical flow velocity
