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Love waves in multilayered elastic half-space: An improved orthogonal polynomials method

机译:多层弹性半空间中的Love波:一种改进的正交多项式方法

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Maradudin firstly proposed Laguerre orthogonal polynomial to solve the acoustic waves in homogeneous semi-infinite wedges in1972. However, the approach can deal with the multilayered structures only when there is no significant change for the material properties of two adjacent layers. In order to overcome the drawbacks of the conventional polynomial approach, this paper proposed an improved orthogonal polynomial method to investigate the propagation of Love waves in a half-space. Comparison with the available reference results confirmed the correctness of the improved polynomial approach. The dispersion curves of Love waves in a multilayer elastic half-space are illustrated.
机译:1972年,Maradudin首次提出Laguerre正交多项式来求解均匀半无限楔形中的声波。但是,该方法仅在两个相邻层的材料特性没有显着变化的情况下才可以处理多层结构。为了克服传统多项式方法的弊端,本文提出了一种改进的正交多项式方法来研究Love波在半空间中的传播。与可用参考结果的比较证实了改进的多项式方法的正确性。示出了爱波在多层弹性半空间中的色散曲线。

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