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Analytical solutions for the transverse deflection of a piezoelectric circular axisymmetric unimorph actuator

机译:压电圆形轴对称单压电晶片致动器的横向挠度的解析解

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This paper presents analytical solutions to the transverse deformation shape of a circular axisymmetric piezoelectric-metal composite unimorph actuator. The solutions account for both the influence of an applied electric field and a concentrated or uniformly distributed mechanical load. Using piezoelectric constitutive equations, combined with thin plate and small bending elastic theory, the generalized equation of motion for bending of thin piezoelectric-metal composite plates has been derived. Our approach predicts that there is an optimum thickness ratio between the piezoelectric arid metal plates, which leads to a maximum combination of deflection and load carrying capabilities. Derived formulas are very simple that offer a quick method for engineering design and optimization of a circular unimorph piezoelectric actuator.
机译:本文提出了圆形轴对称压电-金属复合单压电晶片致动器的横向变形形状的解析解。这些解决方案既考虑了施加的电场的影响,又考虑了集中或均匀分布的机械负载。利用压电本构方程,结合薄板和小弯曲弹性理论,推导了压电-金属复合薄板弯曲的广义运动方程。我们的方法预测,在压电干旱金属板之间存在最佳的厚度比,这将导致挠曲和承载能力的最大组合。推导的公式非常简单,为圆形单压电晶片压电执行器的工程设计和优化提供了一种快速方法。

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