STUDY OF NONLINEAR VIBRATION OF EULER-BERNOULLI BEAMS BY USING ANALYTICAL APPROXIMATE TECHNIQUES

Authors

  • ALI NIKKAR DEPARTMENT OF CIVIL ENGINEERING, UNIVERSITY OF TABRIZ, TABRIZ, IRAN.

Keywords:

NONLINEAR VIBRATION, LAPLACE ITERATION METHOD, HE€™S VARIATIONAL APPROACH, EULER-BERNOULLI BEAM.

Abstract

IN THIS PAPER, NONLINEAR RESPONSES OF A CLAMPED-CLAMPED BUCKLED BEAM ARE INVESTIGATED. TWO EFFICIENT AND EASY MATHEMATICAL TECHNIQUES CALLED HE’S VARIATIONAL APPROACH AND LAPLACE ITERATION METHOD ARE USED TO SOLVE THE GOVERNING DIFFERENTIAL EQUATION OF MOTION. TO ASSESS THE ACCURACY OF SOLUTIONS, WE COMPARE THE RESULTS WITH THE RUNGE-KUTTA 4TH ORDER. THE RESULTS SHOW THAT BOTH METHODS CAN BE EASILY EXTENDED TO OTHER NONLINEAR OSCILLATIONS AND IT CAN BE PREDICTED THAT BOTH METHODS CAN BE FOUND WIDELY APPLICABLE IN ENGINEERING AND PHYSICS.

Author Biography

ALI NIKKAR, DEPARTMENT OF CIVIL ENGINEERING, UNIVERSITY OF TABRIZ, TABRIZ, IRAN.

LECTURE AT DEPARTMENT OF CIVIL ENGINEERING, UNIVERSITY OF TABRIZ, IRAN.

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Published

2013-05-23

Issue

Vol. 11 No. 1 (2014)

Section

Articles

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