| 周期激励下的分段线性振子运动的精确计算 |
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| 引用本文： | 王福新,胡海岩.周期激励下的分段线性振子运动的精确计算[J].南京航空航天大学学报(英文版),1996(2). |
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| 作者姓名： | 王福新 胡海岩 |
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| 作者单位： | 南京航空航天大学振动工程研究所 |
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| 基金项目： | 国家自然科学基金,国家教委跨世纪优秀人才基金 |
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| 摘 要： | 提出了一种精确有效的数值算法，用以确定谐波激励下的分段线性振子的周期运动。该算法基于传统的打靶技术，并以分段线性的解析结果替代了所用的Ｐｏｉｎｃａｒｅ数值积分映射及其Ｊａｃｏｂｉ矩阵。因此，该法摆脱了现有数值算法需要预先假定相轨线穿越不同线性区域次序的束缚。文中的数值算例证明，同现有算法相比，该算法能处理比该类振子更为复杂的动力学行为
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| 关 键 词： | 周期运动 数值分析 分段线性振子 打靶技术 |
CALCULATING ACCURATE PERIODIC MOTIONS OF HARMONICALLY FORCED PIECEWISE LINEAR OSCILLATORS |
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| Wang Fuxin Hu Haiyan Research Institute of Vibration Engineering,NUAA Yudao Street,Nanjing ,P. R. China.CALCULATING ACCURATE PERIODIC MOTIONS OF HARMONICALLY FORCED PIECEWISE LINEAR OSCILLATORS[J].Transactions of Nanjing University of Aeronautics & Astronautics,1996(2). |
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| Authors: | Wang Fuxin Hu Haiyan Research Institute of Vibration Engineering NUAA Yudao Street Nanjing P R China |
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| Institution: | Wang Fuxin Hu Haiyan Research Institute of Vibration Engineering,NUAA29 Yudao Street,Nanjing 210016,P. R. China |
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| Abstract: | This paper presents an efficient numerical scheme for calculating the periodic motion of a harmonically forced piecewise linear oscillator very accurately. The scheme is based on the shooting technique with the traditional numerical Poincare mapping and its Jacobian replaced by the piecewise analytic ones. Thus, the scheme gets rid of the requirement of the current schemes for an assumed order of the oscillator trajectory passing through different linear regions. The numerical examples in the paper demonstrate that the new scheme, compared with the current schemes, enables one to cope with more complicated dynamics of harmonically forced piecewise linear oscillators. |
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| Keywords: | periodic motions numerical analysis piecewise linear oscillator shooting technique |
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