Verification of surface wave solutions obtained by the reciprocity theorem

被引:16
|
作者
Phan, Haidang [1 ]
Cho, Younho [1 ]
Achenbach, Jan D. [2 ]
机构
[1] Pusan Natl Univ, Sch Mech Engn, Pusan 609735, South Korea
[2] Northwestern Univ, Robert R McCormick Sch Engn & Appl Sci, Evanston, IL 60208 USA
基金
新加坡国家研究基金会;
关键词
Surface wave; Half-space; Point load; Reciprocity; Hankel transform; ELASTODYNAMIC RECIPROCITY;
D O I
10.1016/j.ultras.2014.05.003
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
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. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码:1891 / 1894
页数:4
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