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Effects of functionally graded interlayers on dispersion relations of shear horizontal waves in layered piezoelectric/piezomagnetic cylinders

机译：功能梯度夹层对压电/压电圆柱体内剪切水平波频散关系的影响

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Highlights•Dispersive relations of SH guide waves in layered PE/PM cylinders are studied.•Seven kinds of gradient profiles of graded interlayers are considered.•Four kinds of mechanical and electromagnetic surfaces are considered.•Direct integration of graded interlayer is used instead of layer-wise homogenization.•The radial variation of vibration form for low and high order modes is studied.AbstractThe effects of functionally graded interlayers on dispersion relations of shear horizontal waves in layered piezoelectric/piezomagnetic cylinders are studied. First, the basic physical quantities of elastic waves in piezoelectric cylinder are derived by assuming that the SH waves propagate along the circumferential direction steadily. Then the transfer matrices of the functional graded interlayer and outer piezomagnetic cylinder are obtained by solving the state transfer equations with spatial-varying coefficients. Furthermore, making use of the electro-magnetic surface conditions of the outer cylinder, the dispersion relations for the shear horizontal waves in layered piezoelectric/piezomagnetic cylinders are obtained and the numerical results are shown graphically. Seven kinds of functionally graded interlayers and four kinds of electro-magnetic surface conditions are considered. It is found that the functionally graded interlayers have evident influences on the dispersion relations of shear horizontal waves in layered piezoelectric/piezomagnetic cylinders. The high order modes are more sensitive to the gradient interlayers while the low order modes are more sensitive to the electro-magnetic surface conditions.
机译： 突出显示 • 研究了分层PE / PM圆柱体中SH导波的色散关系。 • 考虑了七种渐变中间层的梯度剖面。 • 四种 • 直接整合 • 研究了低阶和高阶模态振动形式的径向变化。 摘要 功能渐变层对剪切水平方向色散关系的影响研究了层状压电/压电圆柱体中的电磁波。首先，通过假设SH波沿圆周方向稳定传播，来推导压电圆柱体中弹性波的基本物理量。然后，通过求解具有空间变化系数的状态转移方程，获得功能梯度层间层和外压电圆柱体的转移矩阵。此外，利用外圆柱体的电磁表面条件，获得了层状压电/压电圆柱体中剪切水平波的色散关系，并以图形方式显示了数值结果。考虑了七种功能梯度中间层和四种电磁表面条件。结果发现，功能梯度中间层对压电/压电圆柱体中水平剪切波的色散关系有明显的影响。高阶模式对梯度夹层更敏感，而低阶模式对电磁表面条件更敏感。

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