Surface motion of a cylindrical hill of circular-arc cross-section for incident plane SH waves

1994 ◽  
Vol 84 (1) ◽  
pp. 192-201
Author(s):  
David L. Clements ◽  
Ashley Larsson

Abstract The scattering and diffraction of harmonic SH waves by an arbitrarily shaped inhomogeneous alluvial valley in a layered material is considered. A new formalism is used to obtain the appropriate wave solutions for inhomogeneous media, and these are employed together with the boundary integral equations to obtain numerical solutions for some important particular problems.


1971 ◽  
Vol 61 (6) ◽  
pp. 1755-1770 ◽  
Author(s):  
M. D. Trifunac

abstract The nature of surface motion in and around a semi-cylindrical alluvial valley is investigated for the case of incident plane SH waves. The closed-form analytical solution of this two-dimensional wave-propagation problem displays complicated wave-interference phenomena characterized by nearly-standing wave patterns, rapid changes in the ground-motion amplification along the free surface of the valley, and significant dependence of motion on the incidence angle of SH waves. Although simple, this model may qualitatively explain some vibrating characteristics of long and deep alluvial valleys.


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