一般支撑条件下横向流中弹性圆柱的响应  

RESPONSES OF AN ELASTIC CYLINDER WITH GENERAL ELASTIC SUPPORTS AT BOTH ENDS SUBJECTED TO CROSS FLOW

作　　者：李云东[1,2] 杨翊仁[1] 李鹏[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：《工程力学》2015年第2期227-232,256,共7页Engineering Mechanics

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

摘　　要：该文以横向流方形圆柱阵中的单根、两端带有一般支撑条件圆柱的流致振动现象进行研究。考虑圆柱的横向变形及其对轴力的影响,建立了系统动力学方程。分析了系统的稳定性及在不同流速条件下出现的复杂非线性行为,该文以分岔图、相平面图、庞加莱映射图来刻画流速变化对圆柱振动的影响。研究结果表明,系统的初始预应力,降低了圆柱的稳定性;当流速较小时,系统首先表现为周期运动;随着流速增大,系统进入概周期运动,该系统未发生混沌运动。The cross-flow-induced vibration phenomenon of a single elastic cylinder with general elastic support's boundary in cylinder array was performed in this paper. The governing equation of motion was established considering the effect of lateral deflection on axial force. The stability of system and its nonlinear behavior were analyzed with different fluid velocity. By means of the bifurcation diagram, phase diagram and Poincare map diagram, the effect of the fluid velocity variation on the cylinder vibration was shown. Results show that the initial axial force decreases the stability of the cylinder; and as fluid velocity increases the motion of system changes from periodic state to quasi-periodic state, and no chaotic motion occurs to the system.

关 键 词：圆柱阵 流致振动 概周期 分岔 庞加莱映射 

分 类 号：TV134[水利工程—水力学及河流动力学]