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Guided wave in multilayered piezoelectric-piezomagnetic bars with rectangular cross-sections

机译：具有矩形横截面的多层压电-压电棒中的导波

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摘要

For the purpose of design and optimization of multilayered piezoelectric-piezomagnetic material (PPC) transducers, wave propagation in these structures has received much attention in past ten years. But the research objects of previous works are only for semi-infinite structures and one-dimensional structures, i.e., structures with a finite dimension in only one direction, such as horizontally infinite flat plates and axially infinite hollow cylinders. This paper proposes a double orthogonal polynomial series approach to solve the wave propagation problem in a two-dimensional (2-D) structure, namely, a layered PPC bar with a rectangular cross-section. Through numerical comparison with the available reference results for a purely elastic layered rectangular bar, the validity of the double polynomial approach is illustrated. The dispersion curves and mechanical displacement profiles of various layered PPC rectangular bars are calculated to reveal the wave propagation characteristics.
机译：出于设计和优化多层压电-压电材料（PPC）换能器的目的，在过去十年中，这些结构中的波传播受到了广泛关注。但是，以前的研究仅针对半无限结构和一维结构，即仅在一个方向上具有有限尺寸的结构，例如水平无限平板和轴向无限空心圆柱体。本文提出了一种双正交多项式级数方法来解决二维（2-D）结构中的波传播问题，即具有矩形横截面的分层PPC条。通过与纯弹性分层矩形钢筋的可用参考结果进行数值比较，说明了双多项式方法的有效性。计算了各种分层PPC矩形棒的色散曲线和机械位移曲线，以揭示波的传播特性。

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