Investigation of the Dynamic Behavior of Periodic Systems with Newton Harmonic Balance Method
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Authors
M. Mashinchi Joubari
- Department of Mechanical Engineering, Babol University of Technology, Babol, Iran
R. Asghari
- Applied Mathematics Department, Mathematics Science Faculty, Guilan University, Rasht, Iran
M. Zareian Jahromy
- Department of Mechanical Engineering, Hormozgan University, Bandar Abbas, Iran
Abstract
In this paper, Newton Harmonic Balancing Method (NHBM) is applied to scrutinize free vibration analysis of the nonlinear oscillatory systems. This method is combined by the Harmonic Balance and Newton's methods. Two classical cases are used to illustrate the applicable of NHBM and results compared by other analytical methods and ODE solver built in MATLAB. The results of the NHBM are shown that the solution quickly convergent and does not need to complicated calculations. So it is applied for various problems in engineering specially vibration equations.
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ISRP Style
M. Mashinchi Joubari, R. Asghari, M. Zareian Jahromy, Investigation of the Dynamic Behavior of Periodic Systems with Newton Harmonic Balance Method, Journal of Mathematics and Computer Science, 4 (2012), no. 3, 418--427
AMA Style
Mashinchi Joubari M., Asghari R., Zareian Jahromy M., Investigation of the Dynamic Behavior of Periodic Systems with Newton Harmonic Balance Method. J Math Comput SCI-JM. (2012); 4(3): 418--427
Chicago/Turabian Style
Mashinchi Joubari, M., Asghari, R., Zareian Jahromy, M.. "Investigation of the Dynamic Behavior of Periodic Systems with Newton Harmonic Balance Method." Journal of Mathematics and Computer Science, 4, no. 3 (2012): 418--427
Keywords
- Newton Harmonic Balance Method
- Nonlinear vibration
- Oscillatory system
- high accuracy
MSC
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