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PAKAR, I., BAYAT, M., BAYAT, M.. (1394). VARIATIONAL APPROACH FOR APPROXIMATE ANALYTICAL SOLUTION TO NON-NATURAL VIBRATION EQUATIONS. , 39(M1+), 273-282. doi: 10.22099/ijstm.2015.3006
I. PAKAR; M. BAYAT; M. BAYAT. "VARIATIONAL APPROACH FOR APPROXIMATE ANALYTICAL SOLUTION TO NON-NATURAL VIBRATION EQUATIONS". , 39, M1+, 1394, 273-282. doi: 10.22099/ijstm.2015.3006
PAKAR, I., BAYAT, M., BAYAT, M.. (1394). 'VARIATIONAL APPROACH FOR APPROXIMATE ANALYTICAL SOLUTION TO NON-NATURAL VIBRATION EQUATIONS', , 39(M1+), pp. 273-282. doi: 10.22099/ijstm.2015.3006
PAKAR, I., BAYAT, M., BAYAT, M.. VARIATIONAL APPROACH FOR APPROXIMATE ANALYTICAL SOLUTION TO NON-NATURAL VIBRATION EQUATIONS. , 1394; 39(M1+): 273-282. doi: 10.22099/ijstm.2015.3006

VARIATIONAL APPROACH FOR APPROXIMATE ANALYTICAL SOLUTION TO NON-NATURAL VIBRATION EQUATIONS

Iranian Journal of Science and Technology Transactions of Mechanical Engineering
مقاله 12، دوره 39، M1+، مرداد 2015، صفحه 273-282    اصل مقاله (631.18 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22099/ijstm.2015.3006
نویسندگان
I. PAKAR1؛ M. BAYAT2؛ M. BAYAT* 2
1Young Researchers and Elites Club, Mashhad Branch, Islamic Azad University, Mashhad, I. R. of Iran
2Department of Civil Engineering, Mashhad Branch, Islamic Azad University, Mashhad, I. R. of Iran
چکیده
In this study, He’s Variational Approach (VA) is used to solve the non-natural
vibrations and oscillations. The method works very well for the whole range of initial amplitudes
and does not demand small perturbation. It is also sufficiently accurate to both linear and nonlinear
physics and engineering problems. We consider some examples to illustrate the effectiveness and
convenience of the method. Runge-Kutta’s [RK] algorithm was also implemented to show the
examples through a numerical method. Finally, to show the accuracy of the VA, the results have
been shown graphically and compared with numerical and exact solution.
کلیدواژه‌ها
Variational approach (VA)؛ nonlinear oscillators؛ analytical method
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