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首页> 外文期刊>Journal of electroceramics >Analytical solution on the non-linear vibration of a traveling wave ultrasonic motor
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Analytical solution on the non-linear vibration of a traveling wave ultrasonic motor

机译：行波超声电机非线性振动的解析解

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摘要

A vibration model for the stator of traveling wave type ultrasonic motors has been presented using Kirchhoff plate theory. In this model, the vibration equation influenced by electric field is established based on the geometric equations, the constitutive equations and the balanced equations for the structure. This electric field distribution is assumed based on Maxwell equation. Shearing deformation, rotary inertia and damping of the piezoelectric ceramic are been taken into account. Firstly, the dynamics of the stator is discussed. The mode of the stator is derived and validated by comparing the resonant frequencies and modal shapes with those by finite element analysis. Then, the effect of the piezoelectric ceramic damping is also discussed. Finally, The friction layer is simplified as the axial spring. Using modal shapes as the weight function, the analytic solution under the forced vibration for the stator is computed by Galerkin method. The theoretical model and its analytic solution in this paper contribute to simplifying the model for the parametric study and understanding the vibration between the stator and the rotor.
机译：利用基尔霍夫板理论，提出了行波型超声电机定子的振动模型。在该模型中，基于结构的几何方程，本构方程和平衡方程，建立了受电场影响的振动方程。基于麦克斯韦方程式假定该电场分布。考虑了压电陶瓷的剪切变形，旋转惯性和阻尼。首先，讨论了定子的动力学。通过将谐振频率和模态形状与有限元分析的谐振频率和模态形状进行比较，可以得出并验证定子的模式。然后，还讨论了压电陶瓷阻尼的作用。最后，将摩擦层简化为轴向弹簧。以模态形状作为权重函数，通过Galerkin方法计算出定子在强迫振动下的解析解。本文的理论模型及其解析解有助于简化用于参数研究的模型，并有助于理解定子与转子之间的振动。

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