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Paper Information

Journal:   IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION B- ENGINEERING   MAY 2015 , Volume 39 , Number M1+ (MECHANICAL ENGINEERING); Page(s) 273 To 282.
 
Paper: 

VARIATIONAL APPROACH FOR APPROXIMATE ANALYTICAL SOLUTION TO NON-NATURAL VIBRATION EQUATIONS

 
 
Author(s):  PAKAR I., BAYAT M., BAYAT M.*
 
* DEPARTMENT OF CIVIL ENGINEERING, MASHHAD BRANCH, ISLAMIC AZAD UNIVERSITY, MASHHAD, I. R. OF IRAN
 
Abstract: 

In this study, He’s Variational Approach (VA) is used to solve the non-natural vibrations and oscillations. The method works very well for the whole range of initial amplitudes and does not demand small perturbation. It is also sufficiently accurate to both linear and nonlinear physics and engineering problems. We consider some examples to illustrate the effectiveness and convenience of the method. Runge-Kutta’s [RK] algorithm was also implemented to show the examples through a numerical method. Finally, to show the accuracy of the VA, the results have been shown graphically and compared with numerical and exact solution.

 
Keyword(s): VARIATIONAL APPROACH (VA), NONLINEAR OSCILLATORS, ANALYTICAL METHOD
 
References: 
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