局所加熱を受ける弾性棒を伝播する分散性波動 : 第1報理論解析

概要

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In the present article, Part 1 in this series of papers, a new one-dimensional wave equation is proposed which is convenient, practically, for studying longitudinal waves in rods having some inhomogeneities in physical properties and/or in geometry. The equation proposed is constructed by taking account not only of the lateral motions due to the Poisson's effect, but also of the distribution of longitudinal displacements across a section of the rod, which are calculated by the axisymmetrical Pochhammer's equation. An appropriate averaging of these effects brings one parameter into the equation, by which the two-dimensional problem is reduced to the one-dimensional one. Even though the present equation is very simple, the dispersive nature is well described over a relatively wide range of ratios of the diameter of the rod to the wavelength.
一般社団法人日本機械学会の論文
1987-12-25