ISSN:
1365-246X
Source:
Blackwell Publishing Journal Backfiles 1879-2005
Topics:
Geosciences
Notes:
The free oscillations of elastically anisotropic spheres are computed here using a Rayleigh-Ritz method developed by Mochizuki (1988). The computation of eigenfrequencies was made for elastic spheres with orthorhombic, tetragonal, cubic and isotropic crystal symmetries, and how the degenerate eigenfrequencies split due to the elastic anisotropy has been shown. A perturbation theory combined with the Rayleigh-Ritz method was presented to compute shifts in and splits of eigenfrequencies due to deformation of an elastic sphere into an ellipsoid. The frequency shifts are expressed by δω=φxEx+φyEy+φzEz, where Ej and φj (j = x, y, z) are, respectively, asphericities and aspherical coefficients of the ellipsoid. This equation was used not only to compute the free-oscillation frequencies of an elastically anisotropic ellipsoid, but also to determine the asphericities of an olivine ellipsoid from observed resonant frequencies.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1111/j.1365-246X.1994.tb03984.x
Permalink