横向流中细长圆柱的热弹性颤振  

THERMOELASTIC FLUTTER OF SLENDER CYLINDRICAL IN CROSS FLOW

作　　者：李云东[1,2] 杨翊仁[1] 

机构地区：[1]西南交通大学力学与工程学院,成都610031 [2]四川理工学院理学院,自贡643000

出　　处：《动力学与控制学报》2015年第2期106-111,共6页Journal of Dynamics and Control

基　　金：国家自然科学基金资助项目(11102170);四川省教育厅基金项目(11ZB255)~~

摘　　要：研究了细长圆柱体在热环境下的横向流致振动.应用迦辽金法将非线性运动控制偏微分方程离散为常微分方程组,首先分析了热载荷对系统临界流速的影响,然后采用数值方法得到了系统分岔区,以及它在参数空间的分布情况.应用分岔图、相图对系统的运动性质进行了判定.系统随着参数的变化呈现周期运动,温度增加,系统发生颤振的临界速度减小.当温度载荷不变时,流速增加,系统周期振动的振幅越来越大,系统发生极限环振动,周期3运动、拟周期运动和混沌运动.Cross-flow-induced vibration of slender cylindrical in thermal environment was researched. The partial differential equation of the system was reduced to an ordinary differential equation by the Galerkin＇s method. The influence of thermal load On the system critical flow velocity was analyzed, and the bifurcation region of the system and the distribution in the parameter space were obtained by the numerical method. The character of motion was discriminated by application of the bifurcation diagram and phase portraits. The analysis shows the system with changing parameters appears a periodic motion, and the critical fluid velocity of the flutter decreases with in- creasing temperature. When the temperature load is at constant with the increasing flow velocity, the amplitude of period motion of the system became more and more big. The system shows limit cycle oscillation, periodie-3 motion, quasi-periodic and chaotic motion.

关 键 词：圆柱阵 分岔 流弹性失稳 混沌 

分 类 号：O343.6[理学—固体力学]