School of Mechanical Engineering, Pusan National University, Busan 609-735, South Korea.
School of Mechanical Engineering, Pusan National University, Busan 609-735, South Korea.
Ultrasonics. 2014 Sep;54(7):1891-4. doi: 10.1016/j.ultras.2014.05.003. Epub 2014 May 15.
Surface wave motions generated by a time-harmonic point load applied at the surface of an isotropic linearly elastic half-space are conventionally solved by the use of integral transform techniques. The inverse transforms, are often complicated and will not always yield closed-form solutions. In this paper expressions for the displacements for surface wave motions radiated from point-load excitation are determined in a simple manner by the use of the elastodynamic reciprocity theorem. It is shown that the radiated amplitudes of the surface displacements obtained by the reciprocity approach are identical to the corresponding results obtained by the use of Hankel transform and by Lamb in his classical paper.
传统上，通过使用积分变换技术来求解在各向同性线弹性半空间表面施加的时谐点载荷产生的表面波运动。逆变换通常很复杂，并且并不总是能得出封闭形式的解。在本文中，通过使用弹性动力学互易定理，以简单的方式确定了由点载荷激励辐射的表面波运动的位移表达式。结果表明，通过互易方法得到的表面位移的辐射幅度与通过汉克尔变换和 Lamb 在其经典论文中得到的相应结果相同。
