• Toroidal oscillations of a transradially isotropic elastic sphere

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    • Keywords


      Anisotropy parameter; elastic sphere; frequency equation; order of oscillations; toroidal oscillations; transradial isotropy

    • 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.

    • Author Affiliations


      Alka Gupta1 Sarva Jit Singh1

      1. Department of Mathematics, Maharshi Dayanand University, Rohtak - 124001, India
    • Dates

  • Journal of Earth System Science | News

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      Posted on July 25, 2019

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