弹性圆柱薄壳在耦合场作用下的混沌运动分析  

ANALYSIS OF CHAOTIC MOTION OF A THIN ELASTIC CYLINDRICAL SHELL UNDER THE COUPLING FIELD

作　　者：杨阳[1] 白象忠[1] 赵将[1] 

机构地区：[1]燕山大学建筑工程与力学学院,河北秦皇岛066004

出　　处：《工程力学》2009年第6期27-30,41,共5页Engineering Mechanics

基　　金：河北省自然科学基金项目(A2006000190)

摘　　要：研究了机械场与电磁场耦合作用下两端简支弹性圆柱壳的混沌运动问题。给出了纵向稳恒磁场、环向电流和均布载荷共同作用下弹性圆柱壳的振动方程,并采用四阶Runge-Kutta法求解方程。通过变化环向电流使系统运动状态改变,分析了电磁参量对系统运动的影响,研究结果表明变化电磁场强度和通入环向电流的大小及方向,可以实施在机械载荷作用下的简支弹性圆柱薄壳的混沌与周期运动间的转化。The chaotic motion problem of a thin cylindrical shell with two sides simply supported under the coupled action of a mechanical field and an electromagnetic field are studied. The vibration equations of an elastic cylindrical shell under the longitudinal steady magnetic field, together with an annular current and a uniform load are obtained. Then the fourth order Runge-Kutta method is adopted to solve the equations. By changing the electric current, the influences of the electromagnetic parameter on the dynamic system are discussed. The results show that changes of the magnetic intensity as well as the magnitude and the direction of the circumferential current will realize the conversion between the chaotic motion and periodic motion of the thin cylindrical shell with two sides simply supported under the action of mechanical loads.

关 键 词：磁弹性 圆柱薄壳 机-电耦合 混沌 周期运动 

分 类 号：O441[理学—电磁学] O482[理学—物理]