Summary In the framework of linear piezoelectric ceramics, we study the deformations of a circular infinite hollow cylinder, subjected to a potential difference between the inner and outer surfaces. When the poling direction is perfectly aligned with the cylinder axis, the solution to this problem is a trivial axisymmetric anti-plane state. However, when the poling direction has an offset angle with respect to the cylinder axis, the corresponding behavior becomes more complex, with the anti-plane state coupled to an in-plane, potentially non axisymmetric, deformation. In this work, we show that this structural coupling, due to the poling direction, can be fruitfully exploited to achieve non-standard actuation and sensing properties, like the possibility to generate a torque under axially symmetric electromechanical controls.

中文翻译：

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压电电机：在极化陶瓷中实现非标准驱动和传感特性

总结 在线性压电陶瓷的框架内，我们研究了圆形无限空心圆柱体的变形，该圆柱体受到内外表面之间的电位差影响。当极化方向与圆柱轴完全对齐时，该问题的解决方案是平凡的轴对称反平面状态。然而，当极化方向相对于圆柱轴具有偏移角时，相应的行为变得更加复杂，反平面状态与平面内的潜在非轴对称变形耦合。在这项工作中，我们表明，由于极化方向，这种结构耦合可以有效地用于实现非标准驱动和传感特性，例如在轴对称机电控制下产生扭矩的可能性。