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Structural Engineering and Mechanics Volume 61, Number 5, March10 2017, pages 657-661 DOI: http://dx.doi.org/10.12989/sem.2017.61.5.657 |
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Accurate semi-analytical solution for nonlinear vibration of conservative mechanical problems |
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Mahmoud Bayat and Iman Pakar
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| Abstract | ||
| In this paper, it has been tried to propose a new semi analytical approach for solving nonlinear vibration of conservative systems. Hamiltonian approach is presented and applied to high nonlinear vibration systems. Hamiltonian approach leads us to high accurate solution using only one iteration. The method doesn\'t need any small perturbation and sufficiently accurate to both linear and nonlinear problems in engineering. The results are compared with numerical solution using Runge-Kutta-algorithm. The procedure of numerical solution are presented in detail. Hamiltonian approach could be simply apply to other powerfully non-natural oscillations and it could be found widely feasible in engineering and science. | ||
| Key Words | ||
| Hamiltonian approach; nonlinear vibration; numerical solution | ||
| Address | ||
| Mahmoud Bayat: Young Researchers and Elite Club, Roudehen Branch, Islamic Azad University, Roudehen, Iran Iman Pakar: Young Researchers and Elite Club, Mashhad Branch, Islamic Azad University, Mashhad, Iran | ||