School of Mechanical and Power Engineering, Henan Polytechnic University, Jiaozuo 454003, PR China; Department of Civil Engineering, University of Siegen, D-57068 Siegen, Germany.
Department of Civil Engineering, University of Siegen, D-57068 Siegen, Germany.
Ultrasonics. 2014 Aug;54(6):1677-84. doi: 10.1016/j.ultras.2014.02.023. Epub 2014 Mar 12.
Wave propagation in multilayered piezoelectric structures has received much attention in past forty years. But the research objects of previous research 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 an extension of the orthogonal polynomial series approach to solve the wave propagation problem in a two-dimensional (2-D) piezoelectric structure, namely, a multilayered piezoelectric bar with a rectangular cross-section. Through numerical comparison with the available reference results for a purely elastic multilayered rectangular bar, the validity of the extended polynomial series approach is illustrated. The dispersion curves and electric potential distributions of various multilayered piezoelectric rectangular bars are calculated to reveal their wave propagation characteristics.
在过去的四十年中，多层压电结构中的波传播引起了广泛关注。但是，以前的研究工作的研究对象仅为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。本文提出了一种扩展的正交多项式级数方法，以解决二维（2-D）压电结构中波传播问题，即具有矩形横截面的多层压电棒。通过与纯弹性多层矩形棒的可用参考结果进行数值比较，说明了扩展多项式级数方法的有效性。计算了各种多层压电矩形棒的频散曲线和电势分布，以揭示其波传播特性。
