Analysis of Wave Mode in Compound Elastic Circular Rods

Abstract

An analysis of the wave modes in compound elastic circular rods, which consists of a circular matrix rod and a circular sheath tube made of different materials, was executed. Results of numerical evaluations of the frequency equation are as follows. (1) Frequency spectra for a compound circular rod of which the sheath material is similar to the matrix material are substantially equal to the frequency spectra for a uniform circular rod. (2) The larger Young's modulus of the sheath tube becomes with Young's modulus of the matrix material kept constant, the larger the phase velocity of each mode becomes. Otherwise, when Young's modulus of the sheath tube becomes large with the average Young's modulus of the compound material kept constant, there appears region in which the phase velocity of each mode inversely becomes small.