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Structural Engineering and Mechanics
  Volume 57, Number 6, March25 2016 , pages 1039-1049
DOI: https://doi.org/10.12989/sem.2016.57.6.1039
 


A novel approximate solution for nonlinear problems of vibratory systems
Seyyed A.Edalati, Mahmoud Bayat, Iman Pakar and Mahdi Bayat

 
Abstract
    In this research, an approximate analytical solution has been presented for nonlinear problems of vibratory systems in mechanical engineering. The new method is called Variational Approach (VA) which is applied in two different high nonlinear cases. It has been shown that the presented approach leads us to an accurate approximate analytical solution. The results of variational approach are compared with numerical solutions. The full procedure of the numerical solution is also presented. The results are shown that the variatioanl approach can be an efficient and practical mathematical tool in field of nonlinear vibration.
 
Key Words
    variational approach method; nonlinear vibration; numerical method
 
Address
Seyyed A.Edalati: Department of Civil and Environmental Engineering, Tarbiat Modares University, Tehran, Iran
Mahmoud Bayat: Department of Civil Engineering, College of Engineering, Bandar Abbas Branch, Islamic Azad University, Bandar Abbas, Iran
Iman Pakar: Young Researchers and Elite Club, Mashhad Branch, Islamic Azad University, Mashhad, Iran
Mahdi Bayat: Young Researchers and Elite Club, Mashhad Branch, Islamic Azad University, Mashhad, Iran
 

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