Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1706980 | Applied Mathematical Modelling | 2008 | 11 Pages |
Abstract
In this paper we analyse the vibrations of an N-stepped Rayleigh bar with sections of complex geometry, supported by end lumped masses and springs. Equations of motion and boundary conditions are derived from the Hamilton’s variational principal. The solutions for tapered and exponential sections are given. Two types of orthogonality for the eigenfunctions are obtained. The analytic solution to the N-stepped Rayleigh model is constructed in terms of Green function.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Igor Fedotov, Ying Gai, Andrei Polyanin, Michael Shatalov,