Zisin (Journal of the Seismological Society of Japan. 2nd ser.)
Online ISSN : 1883-9029
Print ISSN : 0037-1114
ISSN-L : 0037-1114
Forced Oscillations of the Earth as a Visco-elastic Sphere
Shoshichiro KATO
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1963 Volume 16 Issue 2 Pages 35-46

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Abstract
Assuming that the earth is a visco-elastic sphere with constant density and visco-elasticity, forced radial oscillations of the earth are studied.
1. Introduction to the problems.
2. We have 3-dimensional stress-strain relations for rheological bodies of two models different in kind, viz. Voigt model and Maxwell model.
3. Fundamental equations are derived for the problems in which the earth is considered as a self-gravitational sphere.
4. Equations in case of a forced radial oscillation are solved and energetics is discussed in connection with dissipation of energy.
5. The above theory is applied to earth's phenomena on the assumption that earth tide corresponds to the forced radial oscillation concerned.
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