| 对称分段线性振子的次谐分叉分析 |
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| 引用本文： | 杨翊仁.对称分段线性振子的次谐分叉分析[J].西南交通大学学报,1992(6). |
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| 作者姓名： | 杨翊仁 |
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| 作者单位： | 西安交通大学应用力学研究所 |
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| 摘 要： | 本文用Poincare映射法导出了对称分段线性振子的一个次谐分叉近似条件。数值仿真表明,由本文分叉条件得出的临界值与数值仿真值很接近。另外,用数值仿真法分析了对称分段线性振子的进一步次谐分叉。
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| 关 键 词： | 对称分段线性 次谐分叉 映射 数值仿真 |
Subharmonic Bifurcation Analysis of a Periodically Forced Symmetric Piecewise Linear Oscillator |
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| Yang Yiren Inst.of Appl.Mech..Subharmonic Bifurcation Analysis of a Periodically Forced Symmetric Piecewise Linear Oscillator[J].Journal of Southwest Jiaotong University,1992(6). |
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| Authors: | Yang Yiren Instof ApplMech |
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| Institution: | Yang Yiren Inst.of Appl.Mech. |
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| Abstract: | By using poincare return map method, the subharmonic bifurcation condition of an undamping symmetric piecewise linear oscillator is developed. The critical value obtained by this bifurcation condition is close to that found by digital simulation. Besides, by using digital simulation method, the further subharmonic bifurcation of the symmetric piecewjse linear oscillator is analysed. |
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| Keywords: | symmetric piecewise linearlty subharmonic bifurcation map digital simulation |
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