On The Scattering Of SH-Wave By Semi-Cylindrical Hill With Lining Structure

Using complex function, the scattering question of steady SH-waves in a semi-cylindrical hill with a circular lining structure is studied. An analytic method of SH-waves scattering is given upon ground motion and dynamic analysis under certain boundary conditions. Take the method of 'subarea' and 'conjunction' to segment the whole request model to three parts. Making use of boundary continuousness between medium and lining structure at stress and displacement, construct a wave function that can satisfy the stress boundary condition at horizontal surface by the scattering of SH-waves in circular part. And then, availing of the wave function, conjoin the circular part into the semi-circular hollow space at common boundary. The problem can be reduced to solve the question that can only meet the condition of 'conjunction'. Finally, the solution of the problem can be summarized to a series of algebraic equations and solved numerically by truncating the finite terms of the infinite algebraic equations. Computational example analysis of two kinds of different dimensionless parameters is provided to show the effects of steady SH-waves and discuss the influences of wave number, shear modulus, lining thickness and the ratio of lining structure radius to semi-cylindrical hill radius upon the dynamic stress concentration and amplitude displacement on the surface by incident steady SH-waves.