Techno Press
Techno Press

Steel and Composite Structures   Volume 14, Number 5, May 2013, pages 511-521
DOI: http://dx.doi.org/10.12989/scs.2013.14.5.511
 
Analytical solution for nonlinear vibration of an eccentrically reinforced cylindrical shell
Mahmoud Bayat, Iman Pakar and Mahdi Bayat

 
Abstract     [Full Text]
    In this study we have considered the governing nonlinear equation of an eccentrically reinforced cylindrical shell. A new analytical method called He\'s Variational Approach (VA) is used to obtain the natural frequency of the nonlinear equation. This analytical representation gives excellent approximations to the numerical solution for the whole range of the oscillation amplitude, reducing the respective error of angular frequency in comparison with the variation approach method. It has been proved that the variational approach is very effective, convenient and does not require any linearization or small perturbation. Additionally it has been demonstrated that the variational approach is adequately accurate to nonlinear problems in physics and engineering.
 
Key Words
    eccentrically reinforced cylindrical shell; stringer shell; nonlinear vibration; variational approach; Runge-Kutta
 
Address
1 Mahmoud Bayat: Young Researchers and Elites club, Science and Research Branch, Islamic Azad University, Tehran, Iran; 2 Iman Pakar, Mahdi Bayat: Department of Civil Engineering, Mashhad Branch, Islamic Azad University, Mashhad, Iran
 

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