压电空心圆柱体中的周向SH波

基于三维线性压电弹性理论，采用一种正交多项式级数方法研究了轴向极化、电开路时正交各向异性压电空心圆柱中的周向SH波。把位移和电势展开成勒让德多项式级数，引入点确定的材料常数以解决边界条件，最后把问题的解简化为一个特征值问题。计算了不同径厚比下FZT-4管道周向SH的波频散曲线和电势分布。讨论了压电的影响。

Circumferential SH waves in piezoelectric hollow cylinders

Based on the theory of linear three-dimensional piezoelasticity, an orthogonal polynomial series expansion approach is used for determining the characteristics of circumferential SH waves in orthotropic piezoelectric hollow cylinders with axial polarization and open circuit. The displacement components and electric potential, expanded in a series of Legendre polynomials, are introduced into the governing equations along with position-dependent material constants so that the solution of the wave equation is reduced to an eigenvalue problem. Dispersion curves and displacement distribution for PZT-4 hollow cylinders at different ratios are calculated and the effect of piezoelectricity is shown.