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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