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Vibration of a rigid disc on a transversely isotropic elastic half space
Author(s) -
Kirkner David J.
Publication year - 1982
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.1610060303
Subject(s) - transverse isotropy , fredholm integral equation , isotropy , vibration , half space , anisotropy , mathematical analysis , integral equation , mathematics , massless particle , space (punctuation) , physics , classical mechanics , optics , mathematical physics , acoustics , computer science , operating system
The problem of a massless, rigid disc vibrating harmonically on a ‘constrained’ transversely isotropic elastic half space is considered. The material is called constrained because it is assumed that the elastic constants satisfy a certain equation. The problem for each mode of vibration is reduced to the solution of a Fredholm integral equation of the second kind. Results are presented to show the general effect of the material anisotropy.