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  1. 1 Acta Physica Polonica A

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  1. 1 2013

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  1. 1 Bayat M.

  2. 1 Pakar I.

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

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Pakar I., Bayat M.
Acta Physica Polonica A
|
2013
|
vol. 123
|
issue 1
48-52
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.
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