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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 국제구조공학회 Smart Structures and Systems, An International Journal Smart Structures and Systems, An International Journal Vol.15 No.5
- 발행연도
- 2015.1
- 수록면
- 1,311 - 1,327 (17page)
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초록· 키워드
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In this paper, we have applied a new class of approximate analytical methods called Variational Approach (VA) for high nonlinear vibration equations. Three examples have been introduced and discussed.
The effects of important parameters on the response of the problems have been considered. Runge-Kutta’s algorithm has been used to prepare numerical solutions. The results of variational approach are compared with energy balance method and numerical and exact solutions. It has been established that the method is an easy mathematical tool for solving conservative nonlinear problems. The method doesn’t need small perturbation and with only one iteration achieve us to a high accurate solution.
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참고문헌 (31)
참고문헌 신청
Bayat, M / 2011 / Nonlinear free vibration analysis of tapered beams by hamiltonian approach / J. Vibroengineering 13(4):654~661
Bayat, M. / 2011 / Application of he’s energy balance method for nonlinear vibration of thin circular sector cylinder / Int. J. Phy. Sci 6(23):5564~5570
Bayat, M. / 2011 / Analysis of nonlinear vibration of coupled systems with cubic nonlinearity / Mechanika 17(6):620~629
M. Bayat / 2012 / Accurate analytical solution for nonlinear free vibration of beams / Structural Engineering and Mechanics, An Int＇l Journal 43(3):337~347
Bayat, M. / 2012 / Recent developments of some asymptotic methods and their applications for nonlinear vibration equations in engineering problems : a review / Latin American J. Solids Struct 9(2):145~234
Bayat, M. / 2011 / Application of he’s energy balance method for nonlinear vibration of thin circular sector cylinder / Int. J. Phy. Sci 6(23):5564~5570
Bayat, M. / 2011 / Analysis of nonlinear vibration of coupled systems with cubic nonlinearity / Mechanika 17(6):620~629
M. Bayat / 2012 / Accurate analytical solution for nonlinear free vibration of beams / Structural Engineering and Mechanics, An Int＇l Journal 43(3):337~347
Bayat, M. / 2012 / Recent developments of some asymptotic methods and their applications for nonlinear vibration equations in engineering problems : a review / Latin American J. Solids Struct 9(2):145~234
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