Vibration Analysis of a Cantilevered Beam with Spring Loading at the Tip as a Generic Elastic Structure

Although fundamental, vibration of a cantilevered Euler-Bernoulli beam with spring attached at the tip is not found in literatures and is here solved analytically and numerically using finite element approach. The equation of motion of the beam is obtained by using Hamilton’s principle. Finite eleme...

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Published inApplied Mechanics and Materials Vol. 629; no. AEROTECH V: Progressive Aerospace Research; pp. 407 - 413
Main Authors Jafari, Mohammad, Djojodihardjo, Harijono, Ahmad, Kamarul Arifin
Format Journal Article
LanguageEnglish
Published Zurich Trans Tech Publications Ltd 01.10.2014
Subjects
Cantilever beams
Equations of motion
Euler-Bernoulli beams
Finite element method
Free vibration
Mathematical analysis
Vibration
Vibration analysis
Beam
Finite Element Method (FEM)
Hamilton Mechanics
Euler-Bernoulli Theory
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Summary:Although fundamental, vibration of a cantilevered Euler-Bernoulli beam with spring attached at the tip is not found in literatures and is here solved analytically and numerically using finite element approach. The equation of motion of the beam is obtained by using Hamilton’s principle. Finite element method is utilized to write in-house program for the free vibration of the beam. Results show plausible agreements.
Bibliography:Selected, peer reviewed papers from the AEROTECH V Conference, October 29-30, 2014, Kuala Lumpur, Malaysia
ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISBN:3038352322
9783038352327
ISSN:1660-9336
1662-7482
1662-7482
DOI:10.4028/www.scientific.net/AMM.629.407