Green functions for a compressible linearly non homogeneous half-space |
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Authors: | G Muravskii |
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Institution: | (1) Faculty of Civil Engng., Technion, 32000 Haifa, Israel, IL |
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Abstract: | Summary The paper presents a study of time-harmonic vibration of a half-space possessing a shear modulus linearly increasing with
depth. Completing the previous paper 1], where the time-harmonic vibration of an incompressible half-space has been considered,
the problem is now solved for a compressible as well as an incompressible material. The half-space is subjected to a vertical
or horizontal surface load. The solution is represented in terms of Fourier-Bessel integrals containing functions of depth
coordinate that are expressed through confluent hypergeometric functions. Numerical results concerning surface displacements
due to a point force are given for a wide range of frequency variations and degree of non-homogeneity. The results show that,
as compared to the homogeneous case, non-homogeneity can considerably increase vibration amplitudes at large distances from
the applied force.
Received 19 August 1996; accepted for publication 16, December 1996 |
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Keywords: | time-harmonic vibrations elastic nonhomogeneity Green function surface load |
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