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CHAOTIC CONFIGURATION OF A THIN ELASTIC ROD
Author(s): 
Pages: 36-39
Year: Issue:  2
Journal: JOURNAL OF DYNAMICS AND CONTROL

Keyword:  弹性细杆混沌Melnikov方法Poincaré截面;
Abstract: 讨论端部受扭矩作用的非圆截面弹性杆平衡形态的混沌现象.混沌的产生来源于抗弯刚度的微幅周期变化.基于Kirchhoff动力学比拟理论列写弹性杆的平衡方程.应用Melnikov方法的解析预测以及Poincaré截面和相轨迹的数值计算证明弹性杆具有Smale马蹄意义下的混沌形态.给出混沌性态与规则性态所对应弹性杆几何形状的对照.
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