Transverse vibrations of an Euler-Bernoulli uniform beam carrying two particles in-span
type: Item
instance of: scholarly article
title: Transverse vibrations of an Euler-Bernoulli uniform beam carrying two particles in-span
zbMATH Open document ID: 1068.74025
DOI: 10.1016/S0020-7403(01)00072-8
author: S. Naguleswaran
published in: International Journal of Mechanical Sciences
publication date: 2001-01-01T00:00:00Z
review text: The author deals with natural frequencies and natural modes of a prismatic beam with two concentrated masses. The beam itself is modeled as Euler-Bernoulli beam with uniformly distributed mass. Concentrated masses are in a general position on the beam axis. A conventional solution of the corresponding differential equation of beam dynamics is presented. Subsequently, an eigenvalue problem with boundary conditions and continuity conditions at points of concentrated masses is composed, and zero points of functional determinant are numerically determined for various combinations of input parameters. The references are adequate, nevertheless references to classical worldwide known resources are missing. The style of derivation and subsequent analysis can be found in various basic monographs dealing with slope deflection method, transition matrices method, etc. A lot of papers discussing this problem in more detailed form have been published in seventies and eighties in many journals.
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74K10
zbMATH DE Number: 1742190
zbMATH Keywords: natural frequencies
zbMATH Keywords: natural modes
reviewed by: Jiri Náprstek
MaRDI profile type: Publication
full work available at URL: s0020-7403(01)00072-8
OpenAlex ID: W2020858197
description: scientific article; zbMATH DE number 1742190