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《Journal of Mechanical Strength》 2013-03

## DYNAMIC RESPONSE OF THE BODY SUPPORTED BY AN ELASTIC COLUMN ON HALF SPACE SURFACE TO OUT-OF-PLANE SH WAVES

WANG Tian1,2 TANG ShouPeng3(1.Mathematics and Statistics,Northwest Normal University College,Lanzhou 730070,China)(2.Department of mathematics,Dingxi Teachers College,Dingxi 74300,China)(3.Mechanical Engineering Department,Shandong Business Institute,Yantai 264670,China)
Wave function expansion method and Green function method were used to study the scattering effect of the body supported by an elastic column locating on the half space surface to incident out-of-plane SH(shearing horizontal) waves.First,a hyperbolic partial differential equation definite problem was solved to determine the free displacement and the corresponding Green function in the half space.Then,superposition principle was used to determine the total displacement in the half space with the the body supported by an elastic column locating on the surface,and the dynamic response equation of the body is given with the use of Newton law.Last,the definite integration equation of the unknown force can be obtained and solved with the displacement boundary conditions and the mechanical boundary conditions.The given example numerical solutions show the practicability and feasibility of the method here.
【CateGory Index】： O347.41
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