The free vibration of a type of tapered beams
type: Item
instance of: scholarly article
title: The free vibration of a type of tapered beams
zbMATH Open document ID: 0979.74029
DOI: 10.1016/S0045-7825(99)00148-6
author: N. Delaunay
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2002-02-21T00:00:00Z
review text: In many cases non-uniform beams may exhibit a better distribution of strength and weight than uniform beams. Such beams are used in aeronautical, civil and mechanical engineering. This paper studies vibrational characteristics of tapered beams with continuously varying rectangular cross-section proportional to some power of axial coordinate. It is assumed that the depth and breadth dimensions are small in comparison with the length of beam, so the Bernoulli-Euler theory is valid. Beam functions are obtained by using solutions for the tapered beam under arbitrary static load which is approximated by Taylor series, and the eigenfrequency equation is obtained by Rayleigh-Ritz method.
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74H15
Mathematics Subject Classification ID: 74K10
zbMATH DE Number: 1506865
zbMATH Keywords: tapered beams
zbMATH Keywords: varying rectangular cross-section
zbMATH Keywords: Bernoulli-Euler theory
zbMATH Keywords: Taylor series
zbMATH Keywords: eigenfrequency equation
zbMATH Keywords: Rayleigh-Ritz method
reviewed by: Yuri N. Sankin
MaRDI profile type: Publication
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full work available at URL: s0045-7825(99)00148-6
OpenAlex ID: W2089075329
description: scientific article; zbMATH DE number 1506865