A simple and unified approach is presented for the vibration analysis of a generally
supported beam. The flexural displacement of the beam is sought as the linear combination …

This paper deals with free vibration problems of non-uniform Euler–Bernoulli beam under
various supporting conditions. The technique we have used is based on applying the …

This article presents a modal analysis of an elastically constrained Rayleigh beam that is
placed on an elastic Winkler foundation. The study of beams plays a crucial role in building …

This paper proposes operational matrix of rth integration of Chebyshev wavelets. A general
procedure of this matrix is given. Operational matrix of rth integration is taken as rth power of …

A general model for vibration of beams restrained with two transversal and two rotational
elastic springs subject to a constant axially load is presented. The frequency equations and …

In this study, the vibrational behavior of Rayleigh and shear beams placed over the Hetényi
and Pasternak foundations is investigated, with special attention paid to the effects of axial …

Free vibration analysis of a rotating double-tapered Timoshenko beam undergoing flapwise
transverse vibration is presented. Using an assumed mode method, the governing …

NATURAL VIBRATION FREQUENCIES OF TAPERED BEAMS MA De R osa 1), M. Lippiello 2) 1.
Introduction The dynamic analysis of beam Page 1 ENGINEERING TRANSACTIONS • Engng …

The flexible beams carrying attachments and non-classical boundary conditions often
appear in engineering structures, modal analysis of those structures is important and …

A method that evaluates the static, stability and vibration behavior of non-prismatic Euler-
Bernoulli straight beam-columns resting on a two-parameter elastic foundation with …