Rayleigh model ofvibrations of N-stepped bar

摘要

In this paper we consider a model of an N-stepped bar. It is assumed that the longitudinal vibrations in each section of the thick bar is described by a fourth order Rayleigh equation. The analytical tools of vibration analysis are based on finding eigenfunctions with piecewise continuous derivatives, which are orthogonal with respect to a specially chosen weight function. The solution of the problem is formulated in terms of Green function.