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2013 | 123 | 1 | 48-52
Article title

An Analytical Study of Nonlinear Vibrations οf Buckled Euler-Bernoulli Beams

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EN
Abstracts
EN
The current research deals with a way of using a new kind of periodic solutions called He's max-min approach for the nonlinear vibration of axially loaded Euler-Bernoulli beams. By applying this technique, the beam's natural frequencies and mode shapes can be easily obtained and a rapidly convergent sequence is obtained during the solution. The effect of vibration amplitude on the non-linear frequency and buckling load is discussed. To verify the results some comparisons are presented between max-min approach results and the exact ones to show the accuracy of this new approach. It has been discovered that the max-min approach does not necessitate small perturbation and is also suitably precise to both linear and nonlinear problems in physics and engineering.
Keywords
EN
Publisher

Year
Volume
123
Issue
1
Pages
48-52
Physical description
Dates
published
2013-01
received
2012-05-28
(unknown)
2012-10-25
Contributors
author
  • Department of Civil Engineering, Mashhad Branch, Islamic Azad University, Mashhad, Iran
author
  • Department of Civil Engineering, Mashhad Branch, Islamic Azad University, Mashhad, Iran
References
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Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv123n111kz
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