轴向流中悬臂柔性板流固耦合动力特性研究  

STUDY ON THE DYNAMICAL BEHAVIOR OF CANTILEVERED FLEXIBLE PLATES IN AXIAL FLOW BASED ON FLUID-STRUCTURE INTERACTION

作　　者：赵文胜[1] 刘梅清[1] 蒋劲[1] 林琦[1] 

机构地区：[1]武汉大学动力与机械学院,武汉430072

出　　处：《固体力学学报》2011年第5期520-526,共7页Chinese Journal of Solid Mechanics

基　　金：国家自然科学基金项目(50879062);教育部博士点基金项目(20090141110057)资助

摘　　要：论文从理论分析和实验研究两方面对轴向流中悬臂柔性板流固耦合动力特性作了研究.基于板的轴向不可延伸假设,采用Hamilton变分原理,推导了轴向流中悬臂板非线性运动偏微分方程,通过面元法计算悬臂板上下面压力差.采用伽辽金法离散该非线性运动偏微分方程,通过无量纲化物理参数,研究了系统无量纲颤振临界速度,给定流速下悬臂板末端响应时程曲线及板的振动响应,并与风洞模型实验结果进行了对比.研究结果表明,系统发生Hopf分叉,流体流速大于颤振临界速度时,悬臂板发生稳定的极限环颤振,悬臂板振幅、频率随流速的增加而增大.Theoretical and experimental studies are devoted to investigate the dynamical behaviour of cantilevered flexible plates in axial flow. Nonlinear partial differential equations of motion based on the inextensibility assumption are derived from Hamilton＇s principle for this kind of plates. The pressure difference between the two sides of the plates is calculated with a panel method. The partial differential equations governing the movement of plates are discretized with the use of the Galerkin method. The non-dimensional critical flow velocities are predicted,time traces and vibration responses of the cantilevered plates at corresponding flow velocities are obtained. The comparison of the theoretical values and the experimental results shows that the cantilevered plates will lose stability via a Hopf bifurcation,and limit cycle oscillations will occur when the flow velocities exceed the critical ones; furthermore, the amplitude and the frequency of the limit cycle oscillations will increase with increasing the flow velocities.

关 键 词：悬臂板 流固耦合 动力特性 伽辽金法 颤振 

分 类 号：O316[理学—一般力学与力学基础]