The oscillations of a rod in an inhomogeneous elastic medium

2012 ◽  
Vol 76 (3) ◽  
pp. 337-341 ◽  
Author(s):  
L.D. Akulenko ◽  
S.V. Nesterov
Keyword(s):  
Elastic Medium ◽  
Inhomogeneous Elastic Medium

Exact solutions of SH wave equation for inhomogeneous media

1970 ◽  
Vol 60 (6) ◽  
pp. 1847-1859
Author(s):  
S. N. Bhattacharya
Keyword(s):  
Wave Equation ◽  
Exact Solutions ◽  
Elastic Medium ◽  
Shear Wave ◽  
Wave Velocity ◽  
Shear Wave Velocity ◽  
Sh Wave ◽  
Exponential Functions ◽  
Transcendental Functions ◽  
Inhomogeneous Elastic Medium

Abstract The SH wave equation in a vertically inhomogeneous elastic medium has been considered. It is possible to determine all vertical inhomogeneities for which the SH wave equation can be solved in terms of standard transcendental functions. The inhomogeneities where either shear-wave velocity, modulus of rigidity, or density is constant have also been considered. A few simple inhomogeneities and their solutions in terms of hypergeometric, Whittaker, Bessel and exponential functions have been given.

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