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Parameters determination for a linearly inhomogeneous half‐space using characteristics of the time‐harmonic surface waves
Author(s) -
Muravskii Grigori
Publication year - 2000
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/(sici)1096-9845(200004)29:4<399::aid-eqe914>3.0.co;2-s
Subject(s) - rayleigh wave , surface wave , harmonic , physics , wave propagation , vibration , half space , love wave , shear waves , mechanics , mathematical analysis , shear (geology) , mechanical wave , acoustics , optics , longitudinal wave , mathematics , materials science , composite material
The paper presents a study of time‐harmonic surface waves in a linearly inhomogeneous half‐space. The study is based on the solution of that problem for an arbitrary (from 0 to 1/2) value of Poisson's ratio. Vertical vibrations due to a vertical harmonic force, which at large distances from the force represent Rayleigh‐type waves, and transverse horizontal vibrations due to a horizontal force, which at large distances form waves of Love's type, are considered in detail. Material damping is taken into consideration. Inhomogeneity significantly affects relationships connecting wave characteristics and the frequency of vibration, and it is shown in the paper how this fact can be used for determining material properties (surface shear modulus, degree of inhomogeneity, damping ratio) with the help of experimental results concerning wave propagation over the surface of the half‐space. It is shown that for forced waves the relationship between the wave phase angle and distance can significantly differ from a straight line, i.e. the wave number varies with distance. Therefore, it is desirable to relate experimental and theoretical results to such parts of wave propagation line, which correspond to same phase angle intervals. Copyright © 2000 John Wiley & Sons, Ltd.