Free vibration analysis of an Euler beam of variable width on the Winkler foundation using homotopy perturbation method
type: Item
instance of: scholarly article
title: Free vibration analysis of an Euler beam of variable width on the Winkler foundation using homotopy perturbation method
zbMATH Open document ID: 1299.74182
DOI: 10.1155/2013/721294
author: Utkan Mutman
published in: Mathematical Problems in Engineering
publication date: 2014-11-24T00:00:00Z
review text: Summary: Homotopy Perturbation Method (HPM) is employed to investigate the vibration of an Euler beam resting on an elastic foundation. The beam is assumed to have variable stiffness along its length. HPM is an easy-to-use and very efficient technique for the solution of linear or nonlinear problems. HPM produces analytical approximate expression which is continuous in the solution domain. This work assures that HPM is a promising method for the vibration analysis of the variable stiffness Euler beams on elastic foundation. Different case problems have been solved by using the technique, and solutions have been compared with those available in the literature.
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 35C05
Mathematics Subject Classification ID: 35Q74
zbMATH DE Number: 6372994
Wikidata QID: Q59028594
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/721294
OpenAlex ID: W2101515150
cites work: Analysis of the vibration of an elastic beam supported on elastic soil using the differential transform method
cites work: Bending of beams on three-parameter elastic foundation
cites work: Free vibrations of Timoshenko beams on two-parameter elastic foundation
cites work: The response of a finite beam on a tensionless Pasternak foundation subjected to a harmonic load.
cites work: A mixed method for bending and free vibration of beams resting on a Pasternak elastic foundation
cites work: A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
cites work: The homotopy perturbation method for nonlinear oscillators with discontinuities.
cites work: Application of homotopy perturbation method to nonlinear wave equations
cites work: Asymptotology by homotopy perturbation method
cites work: Homotopy perturbation method for solving boundary value problems
cites work: Limit cycle and bifurcation of nonlinear problems
description: scientific article; zbMATH DE number 6372994