| 弹性屈曲梁在参数激励下的倍周期分叉 |
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| 引用本文： | 叶敏 陈予恕. 弹性屈曲梁在参数激励下的倍周期分叉[J]. 固体力学学报, 1998, 19(4): 361-364 |
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| 作者姓名： | 叶敏 陈予恕 |
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| 作者单位： | 天津大学机械工程学院 |
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| 摘 要： | 考虑一端具有干摩擦的屈曲梁在轴向激励下的非线性振动系统，利用Ｆｌｏｑｕｅｔ理论和谐波平衡法，研究了系统中初始屈曲度、阻尼、频率、激励振幅等各种物理参数对１／２业谐共振情况下倍周期分叉的影响，其规律与以往的数值模拟结果具有很好的一致性。
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| 关 键 词： | 弹性屈曲梁 倍周期分叉 物理参数 参数激励 |
PERIOD DOUBLING BIFURCATION IN ELASTIC BUCKLED BEAM UNDER PARAMETRIC EXCITATION |
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| Ye Min Chen Yushu. PERIOD DOUBLING BIFURCATION IN ELASTIC BUCKLED BEAM UNDER PARAMETRIC EXCITATION[J]. Acta Mechnica Solida Sinica, 1998, 19(4): 361-364 |
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| Authors: | Ye Min Chen Yushu |
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| Abstract: | k A nonlinear oscillation system of the elastic buckled beam with friction damping and axial excitation are considered . Floquet theory and the method of harmonic balance are applied to investigate period doubling bifurcations affacted by initial buckling, damping, frequency and amplitude of excitation in the 1/2 subharmonic resonance. The results are satisfactory. |
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| Keywords: | elastic buckled beam period doubling bifurcation physical parameters |
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