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Novel modeling technique for the stator of traveling wave ultrasonic motors

机译：行波超声电机定子的新型建模技术

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摘要

Traveling wave ultrasonic motors (TWUM) are a promising type of piezoelectric transducers, which are based on the friction transmission of mechanical propagating waves. These waves are excited on the stator by using high Q piezoelectric ceramics. This article presents a modeling strategy, which allows for a quick and precise modal and forced analysis of the stator of TWUM. First-order shear deformation laminated plate theory is applied to annular subdomains (super-elements) of the stator. In addition to shear deformations, the model takes into account the effect of rotary inertia, the stiffness contribution of the teeth, and the linear varying thickness of the stator. Moreover, the formulation considers a more realistic function for the electric field inside the piezoelectric ceramic, i.e., a linear function, instead of the generally assumed constant electric field. The Ritz method is used to find an approximated solution for the dynamic equations. Finally, the modal response is obtained and compared against the results from classical simplified models and the finite element method. Thus, the high accuracy and short computation times of the novel strategy were demonstrated.
机译：行波超声电动机（TWUM）是一种很有前途的压电换能器，其基于机械传播波的摩擦传递。通过使用高Q压电陶瓷在定子上激发这些波。本文介绍了一种建模策略，该策略允许对TWUM定子进行快速，精确的模态和强制分析。一阶剪切变形叠层板理论适用于定子的环形子域（超元素）。除了剪切变形之外，该模型还考虑了旋转惯性，齿的刚度贡献以及定子的线性变化厚度的影响。此外，该公式考虑了对于压电陶瓷内部的电场更现实的函数，即线性函数，而不是通常假定的恒定电场。使用Ritz方法来找到动力学方程的近似解。最后，获得模态响应并将其与经典简化模型和有限元方法的结果进行比较。因此，证明了该新策略的高精度和短计算时间。

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