1次元不均質媒体中を伝播する非線型波動の変調問題

概要

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Nonlinear modulation of quasi-monochromatic, shear wave propagation in 1-dimensional inhomogeneous media was studied. In the analysis, we assumed that the elastic modulus of the inhomogeneous medium varied slowly in the spatial direction. An approach utilizing the soliton theory was proposed to analyze nonlinear wave phenomena in (weakly) inhomogeneous media. The results show that a nonlinear modulated wave in a 1-dimensional finite-elastic medium with a lateral inhomogeneity is governed by the perturbed Schrodinger equation, and that the analytical solution obtained for this equation using modified conservation laws reveals that both the amplitude and angular frequency of an envelope-solitary wave deform progressively in space as a result of media inhomogeneity, and that the scattering envelope-solitary waves are generated by an incident wave propagating in an inhomogeneous region with a monotonically increasing the shear-wave velocity.
社団法人日本建築学会の論文
1996-04-30