1次元不均質媒体中の非線型波動伝播について

概要

論文の詳細を見る
Nonlinear compressional (or longitudinal) -wave propagation in 1-dimensional inhomogeneous media was studied. In the analysis, we assumed that the density 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 compressional-wave in a 1-dimensional finite-elastic medium with a lateral inhomogeneity is governed by the perturbed K-dV equation, and that the analytical solution obtained for this equation using modified conservation laws reveals that both the amplitude and velocity of solitary wave deform progressively in space as a result of media inhomogeneity, and that the scattering solitary waves are generated by an incident wave propagating in an inhomogeneous region with a monotonically increasing the compressional-wave velocity.
一般社団法人日本建築学会の論文
1995-03-20