Abstract Rayleigh surface wave motion in a homogeneous orthotropic elastic solid half-space under time-harmonic sources is theoretically investigated. In this article, closed-form expressions of the Rayleigh wave field as a result of a time-harmonic concentrated line load are simply determined by using reciprocity theorems. For the verification purpose, analytical predictions are also obtained through Fourier transform technique with the aid of the residue theorem. The solutions found by the two approaches are shown to be mathematically the same. As an example of calculation, surface waves due to a set of buried loadings in the orthotropic half-plane are then examined in detail. A discussion of these results is presented to explore the influence of the loading types on the displacement amplitudes of the generated wave fields.

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时谐载荷下正交各向异性半空间的瑞利波运动：理论研究

摘要 理论研究了时谐源下均匀正交各向异性弹性固体半空间中的瑞利面波运动。在本文中，瑞利波场作为时谐集中线载荷的结果的闭式表达式简单地使用互易定理确定。为了验证的目的，还借助余数定理通过傅立叶变换技术获得了分析预测。这两种方法找到的解决方案在数学上是相同的。作为计算示例，然后详细检查由正交各向异性半平面中的一组埋藏载荷引起的表面波。对这些结果进行了讨论，以探讨加载类型对生成的波场位移幅度的影响。