Effect of the variation in the cross-section of a waveguide on vibration transmission

Abstract

A theoretical approach to describe the effect of the variation in the cross-section of a waveguide on the longitudinal vibration transmission is presented in this paper. The waveguide considered here has a tapered region in the middle of an axisymmetric stepped rod. The distributions of the vibration displacement and stress along the waveguide were derived in terms of the Bessel functions and trigonometric functions. The theoretically-calculated results were verified by comparing them with those obtained by the finite-element analysis. The vibration magnification and the concentrated stress under forced vibration were calculated for this rod according to the taper length.