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- W1570339172 abstract "One proves the equivalence of the equations of the one-dimensional plane motion of an isotropic nonlinearly-elastic body and that of a perfectly conducting compressible fluid moving in an external magnetic field, the magnetic permeability of the fluid being an arbitrary function of the density and of the modulus of intensity of the magnetic field. For these models of the continuous medium one considers essentially the nonlinear problem of the transverse oscillations induced in an infinite layer by the periodic action of external tangential forces at one of the plane boundaries, while at the other one a perfect reflection of the waves is assumed. The singularity of the bahavior of the forced resonant oscillations are developed in the case when in the elastic body the velocity of the longitudinal waves is much larger than the velocity of the transverse waves and in the fluid the velocity of the sound exceeds by far the velocity of the Alfvén waves. One establishes the relation between the amplitude of the constraining forces and the degree of nearness of its frequency to the resonant frequency when weak shock waves appear in the layer." @default.
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- W1570339172 date "1972-01-01" @default.
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- W1570339172 title "On nonlinear transverse resonant oscillations in an elastic layer and a layer of perfectly conducting fluid" @default.
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- W1570339172 doi "https://doi.org/10.1016/0021-8928(72)90083-4" @default.
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