横向流中细长圆柱体的非线性行为分析  

Nonlinear Behavior Analysis of Slender Cylinder 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,四川自贡643000

出　　处：《重庆理工大学学报（自然科学）》2013年第9期1-5,共5页Journal of Chongqing University of Technology：Natural Science

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(自筹)(11ZB255)

摘　　要：研究了横向流中具有非线性支承的细长圆柱的非线性力学行为。利用微分求积法将横向流中细长圆柱体的运动偏微分方程离散为常微分方程组,采用分岔图、相平面图等方法分析了横向流速变化对系统响应的影响。结果表明:所研究的系统存在周期运动和混沌运动,可用微分求积法来离散时滞的动力系统的运动方程。The nonlinear behaviors of the slender cylinder with loose support in cross flow are studied in this paper. The partial differential motion equations of slender cylinders in cross flow are reduced to series of ordinary differential equations using the differential quadrature method （DQM）. By means of the bifurcation diagram and phase portraits of the motion, the effects of parameter variation on the sys- tem responses are are found, which analyzed. The results show that the parameter region of periodic and chaotic motion agreed namics systems may be reasonably with other classical ones. The motion equations of time-delay dy- discerned by the DQM.

关 键 词：圆柱阵 分岔 混沌 微分求积法 

分 类 号：U270.11[机械工程—车辆工程]