| 电机端盖超谐共振分析 |
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| 引用本文： | 杨志安,冯宏伟.电机端盖超谐共振分析[J].工程力学,2012,29(10):288-293. |
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| 作者姓名： | 杨志安 冯宏伟 |
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| 作者单位： | 唐山学院与唐山市结构与振动工程重点实验室, 河北, 唐山 063000 |
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| 基金项目： | 国家自然科学基金项目(50975076);河北省自然基金项目(A2009000997) |
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| 摘 要： | 根据电机端盖的结构特点, 将端盖抽象为圆环板。按照弹性力学理论建立了圆环板的振动方程。基于伽辽金方法, 引入振型试函数, 得到5 种不同边界条件端盖的非线性振动方程。应用多尺度法得到系统超谐共振近似解。计算了5 种边界条件下超谐共振的幅频响曲线。分析了半径、激励对系统超谐共振响应曲线的影响。
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| 关 键 词： | 电机 端盖 圆环板 多尺度法 超谐共振 |
| 收稿时间： | 2011-01-13 |
SUPERHARMONIC RESONANCE OF END-SHIELDS OF ELECTRIC MACHINES |
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| Affiliation: | Tangshan College and Tangshan Key Laborary of Structural and Vibration Engineering, Tangshan, Hebei 063000, China |
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| Abstract: | According to the structural characteristics of the end-shield of electric machines, an end-shield can be simplified as an annular circular plate. Based on the theory of elasticity, the vibration equation of the circular plate is established. Using Galerkin’s method by introducing a modal function, the nonlinear vibration equation of the end-shield with 5 kinds boundary conditions is obtained. By means of the method of mutipul scales for nonlinear vibrations, the approximation solution for superharmonic resonance of a system is obtained. Amplitude frequency response curves of 5 kinds of boundary conditions of a superharmonic resonance system are derived. The numerical analysis on the influence of the radius and excitation of the amplitude frequency response curves of the system is carried out. |
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