Abstract Small strains are consistently incorporated into a model to describe the behavior of piezoelectric beams subjected to large displacements and rotations. While the displacement is assumed to vary in accordance with the Timoshenko assumption, the electric potential has linear variation through each piezoelectric layer thickness. The strong geometric nonlinear effect on the beam electroelastic response is illustrated by static problems of cantilever beams with tip loads and distributed sensing or actuation. The present work seems to be the first to obtain analytical solutions for beams under large displacements and rotations with piezoelectric sensors. One believes that the quality of such solutions can be valuable to validate results predicted by approximate methods.

中文翻译：

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应变小但位移和旋转大的压电梁

摘要 小应变始终被纳入模型来描述压电梁在大位移和旋转下的行为。虽然根据 Timoshenko 假设假设位移会发生变化，但电势在每个压电层厚度上具有线性变化。悬臂梁具有尖端载荷和分布式传感或驱动的静态问题说明了对梁电弹性响应的强烈几何非线性效应。目前的工作似乎是第一个使用压电传感器获得大位移和旋转下梁的解析解的工作。有人认为，此类解决方案的质量对于验证通过近似方法预测的结果很有价值。