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. DOI: 10.6052/j.issn.1000-4750.2011.01.0032
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. DOI: 10.6052/j.issn.1000-4750.2011.01.0032
YANG Zhi-an, FENG Hong-wei. SUPERHARMONIC RESONANCE OF END-SHIELDS OF ELECTRIC MACHINES[J]. Engineering Mechanics, 2012, 29(10): 288-293. DOI: 10.6052/j.issn.1000-4750.2011.01.0032
Citation: YANG Zhi-an, FENG Hong-wei. SUPERHARMONIC RESONANCE OF END-SHIELDS OF ELECTRIC MACHINES[J]. Engineering Mechanics, 2012, 29(10): 288-293. DOI: 10.6052/j.issn.1000-4750.2011.01.0032

电机端盖超谐共振分析

SUPERHARMONIC RESONANCE OF END-SHIELDS OF ELECTRIC MACHINES

  • 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。

     

    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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