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http://dx.doi.org/10.12989/scs.2014.17.5.721

Study of complex nonlinear vibrations by means of accurate analytical approach  

Bayat, Mahmoud (Department of Civil Engineering, College of Engineering, Mashhad Branch, Islamic Azad University)
Pakar, Iman (Young Researchers and Elites Club, Mashhad Branch, Islamic Azad University)
Bayat, Mahdi (Department of Civil Engineering, College of Engineering, Mashhad Branch, Islamic Azad University)
Publication Information
Steel and Composite Structures / v.17, no.5, 2014 , pp. 721-734 More about this Journal
Abstract
In the current study, we consider a new class of analytical periodic solution for free nonlinear vibration of mechanical systems. Hamiltonian approach is applied to analyze nonlinear problems which occur in dynamics. The proposed method doesn't have the limitations of the classical methods and leads us to a high accurate solution by only one iteration. Two well known examples are studied to show the convenience and effectiveness of this approach. Runge-Kutta's algorithm is also applied and the results of it are compared with the Hamiltonian approach. High accuracy of the proposed approach reveals that the Hamiltonian approach can be very useful for other nonlinear practical problems in engineering.
Keywords
non-linear vibration; Hamiltonian approach; Runge-Kutta's algorithm;
Citations & Related Records
Times Cited By KSCI : 14  (Citation Analysis)
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