Journal of Physics of the Earth
Online ISSN : 1884-2305
Print ISSN : 0022-3743
ISSN-L : 0022-3743
CHARACTERISTIC OSCILLATION OF A RECTANGULAR ELASTIC BODY BY THE SIMULATION USING A FRAMEWORK MODEL
Yasuo SATO
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ジャーナル フリー

1978 年 26 巻 1 号 p. 1-11

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In order to solvc the eigenvalue problem of an elastic body with complicated boundaries, a mass system of framework is employed, and the continuous medium is simulated thereby. For the mass system there is no difficulty in satisfying the boundary condition, which is a crucible for a continuous medium. In this way the disturbances caused by the initial excitation in a rectangular elastic body is calculated as a function of time using the finite difference formula, By the Fourier analysis of these propagating disturbances, which is a method with which the free oscillation of the earth is obtained, the eigenfrequencies and the eigenfunctions are calculated for a rectangular body. By this scheme the eigenvalue problem of a finite elastic material is solved. The problem with a crack inside is also solved and the features of spectra are compared with the case without a crack. This kind of technique might be of some use for the non-destructive testing of an elastic material.
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