| 非对称刚度转轴的参激共振和分叉分析 |
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| 引用本文： | 肖锡武,杨叔子.非对称刚度转轴的参激共振和分叉分析[J].机械工程学报,2001,37(6):43-48. |
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| 作者姓名： | 肖锡武 杨叔子 |
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| 作者单位： | 华中科技大学力学系 |
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| 基金项目： | 国家“九五”攀登基金资助!项目 (PD95 2 190 1) |
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| 摘 要： | 研究非对称刚度转轴的参激共振和分叉。用Hamilton原理导出运动微分方程 ,这是刚度系数周期性变化的参激振动方程 ,再用平均法求得平均方程 ,分叉响应方程和定常解。讨论了横截面的不对称性 ,外阻尼和非线性对幅频响应曲线的影响 ,最后用奇异性理论分析定常解的稳定性和分叉。
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| 关 键 词： | 非对称刚度转轴 参激共振 稳定性 分叉 平均法 |
| 修稿时间： | 2000年7月11日 |
PARAMETRICAL RESONANCE AND BIFURCATION ANALYSIS OF A SHAFT WITH ASYMMETRICAL STIFFNESS |
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| Xiao Xiwu,Yang Shuzi.PARAMETRICAL RESONANCE AND BIFURCATION ANALYSIS OF A SHAFT WITH ASYMMETRICAL STIFFNESS[J].Chinese Journal of Mechanical Engineering,2001,37(6):43-48. |
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| Authors: | Xiao Xiwu Yang Shuzi |
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| Affiliation: | Huazhong University of Science and Technology |
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| Abstract: | The parametrical resonance and stability in a rotating shaft with an asymmetrical stiffness is analyzed. By means of the Hamilton's principle the nonlinear differential equations of motion of the shaft are derived in the rotating coordinate system. Transforming the equations of motion from rotating coordinate system into stationary coordinate system and introducing a complex variable, the motion equation in complex variable forms in which the stiffness coefficient varies periodically as time, is obtained. By applying the method of averaging, the averaged equation and the amplitude-frequency response equation are obtained. According to the theory of singularity, the stability and bifurcation of the steady-state solutions are analyzed. |
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| Keywords: | Shaft with unsymmetrical stiffness Parametrical resonance Stability Bifurcation Method of averaging |
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