Toroidal oscillations of a transradially isotropic elastic sphere |
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| Authors: | Alka Gupta Sarva Jit Singh |
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| Institution: | (1) Department of Mathematics, Maharshi Dayanand University, 124001 Rohtak, India |
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| Abstract: | In order to consider the effect of anisotropy on the periods of the oscillations of the Earth, the problem of toroidal oscillations
of a transradially isotropic elastic sphere is considered. At each point, the medium is assumed to be transversely isotropic
about the radius through the point. The roots of the frequency equation are obtained for different values of the anisotropy
parameter α. It is found that, for large order oscillations, the percentage change in the frequency of the toroidal oscillations
on account of the anisotropy is nearly equal to |α-1| × 100. |
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| Keywords: | Anisotropy parameter elastic sphere frequency equation order of oscillations toroidal oscillations transradial isotropy |
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