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Wave propagation characteristics in piezoelectric cylindrical laminated shells under large deformation

机译:压电圆柱层压壳在大变形下的波传播特性

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摘要

An analytical method for wave propagation in piezoelectric cylindrical laminated shells under large deformations is presented in this article. Based on the minimum potential energy variational method (Hamilton's principle), the nonlinear dynamic governing equation of piezoelectric cylindrical laminated shells is derived. Through solving an eigenvalue problem, the wave characteristics curves of waves numbers and waves velocity are described. In example calculations, the four types of piezoelectric cylindrical laminated shells with stacking sequences [PZT-4/aluminum], [PZT-4/fiber-layer/PVDF], [PZT-4/aluminum/fiber-layer/aluminum/ PVDF] and [aluminum/fiber-layer/aluminum] are taken, respectively. Here, the analysis is equally applicable to other types of piezoelectric cylindrical laminated shells. The effects of large deformation, stacking sequences and piezoelectric layers on wave propagation in cylindrical laminated shells are obtained and discussed. This solution method may be used as a reference to investigate wave propagation in piezoelectric cylindrically laminated shells under large deformation and rotary inertia for various stacking sequences and materials layers by using other methods. The results carried out can be used in the ultrasonic inspection techniques and health monitoring for piezoelectric laminated structures.
机译:本文提出了一种在大变形下压电圆柱叠层壳中波传播的解析方法。基于最小势能变化法(汉密尔顿原理),推导了压电圆柱叠层壳的非线性动力学控制方程。通过求解特征值问题,描述了波数和波速的波特性曲线。在示例计算中,堆叠顺序为[PZT-4 /铝],[PZT-4 /纤维层/ PVDF],[PZT-4 /铝/纤维层/铝/ PVDF]的四种类型的压电圆柱层压壳分别采用[铝/纤维层/铝]和[铝/纤维层/铝]。在此,该分析同样适用于其他类型的压电圆柱层压壳。获得并讨论了大变形,堆叠顺序和压电层对圆柱叠层壳中波传播的影响。该解决方法可以作为参考,以其他方式研究各种堆叠顺序和材料层在大变形和旋转惯性下在压电圆柱层压壳中的波传播。所得结果可用于压电层压结构的超声检查技术和健康监测。

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