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Structural Engineering and Mechanics   Volume 51, Number 3, August10 2014, pages 519-530
DOI: http://dx.doi.org/10.12989/sem.2014.51.3.519
 
An accurate novel method for solving nonlinear mechanical systems
Mahdi Bayat, Iman Pakar and Mahmoud Bayat

 
Abstract     [Full Text]
    This paper attempts to investigate the nonlinear dynamic analysis of strong nonlinear problems by proposing a new analytical method called Hamiltonian Approach (HA). Two different cases are studied to show the accuracy and efficiency of the method. This approach prepares us to obtain the nonlinear frequency of the nonlinear systems with the first order of the solution with a high accuracy. Finally, to verify the results we present some comparisons between the results of Hamiltonian approach and numerical solutions using Runge-Kutta\'s [RK] algorithm. This approach has a powerful concept and the high accuracy, so it can be apply to any conservative nonlinear problems without any limitations.
 
Key Words
    approximate frequency; Hamiltonian approach; analytical investigations
 
Address
Mahdi Bayat, Mahmoud Bayat : Department of Civil Engineering, College of Engineering, Mashhad Branch, Islamic Azad University, Mashhad, Iran
Iman Pakar : Young Researchers and Elites Club, Mashhad Branch, Islamic Azad University, Mashhad, Iran
 

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