任意方向点源问题的一个解析解  

An Analytical Solution for Point Source Problem in Arbitrary Direction

作　　者：张远 刘军 王越[1] 程毅 ZHANG Yuan;LIU Jun;WANG Yue;CHENG Yi(College of Civil and Transportation Engineering,Institute of Engineering Safety and Disaster Prevention,Hohai University,Nanjing 210098,China;Key Laboratory of Ministry of Education for Geo-mechanics and Embankment Engineering,Hohai University,Nanjing 210098,China)

机构地区：[1]河海大学土木与交通学院安全与防灾工程研究所,南京210098 [2]河海大学岩土力学与堤坝工程教育部重点实验室,南京210098

出　　处：《河南科学》2019年第8期1296-1302,共7页Henan Science

基　　金：国家自然科学基金资助项目（51874118,51174076,51044003）;中央高校基本科研业务费专项资金资助（KYCX18-0567）

摘　　要：均匀弹性半空间表面点源产生的波场解析解属于Lamb问题,采用Cagniard-Hoop方法,对与水平面呈任意夹角的表面点源,求解了其作用于弹性半空间表面时的Laplace-Hankel双积分变换解.通过退化为弹性半空间垂直点源问题,与前人解答进行对比,验证了该计算方法的正确性.计算结果可为波场研究及相关工程领域提供理论基础.The analytical solution of wave field caused by point sources on the surface of a homogeneous elastic halfspace belongs to Lamb problems. With the Cagniard-Hoop method,we developed a Laplace-Hankel double integral transformed solution for a point source which is in arbitrary angle with horizontal plane on elastic half-space. The correctness of this method is verified by comparing with the previous solutions for the problem of vertical point source in elastic half space. The results can provide theoretical basis for wave field research and related engineering fields.

关 键 词：LAMB问题 Cagniard-Hoop方法 点源问题 积分变换 脉冲载荷 弹性半空间 解析解 

分 类 号：TU311.3[建筑科学—结构工程]