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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 국제구조공학회 Steel and Composite Structures, An International Journal Steel and Composite Structures, An International Journal Vol.24 No.6
- 발행연도
- 2017.1
- 수록면
- 671 - 677 (7page)
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초록· 키워드
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In this paper, two powerful analytical methods called Variational Approach (VA) and Hamiltonian Approach (HA) are used to solve high nonlinear non-Natural vibration problems. The presented approaches are works well for the whole range of amplitude of the oscillator. The first iteration of the approaches leads us to high accurate solution. Numerical results are also presented by using Runge-Kutta's [RK] algorithm. The full comparison between the presented approaches and the numerical ones are shown in figures. The effects of important parameters on the response of nonlinear behavior of the systems are studied completely. Finally, the results show that the Variational Approach and Hamiltonian approach are strong enough to prepare easy analytical solutions.
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참고문헌 (25)
참고문헌 신청
Mahmoud Bayat / 2017 / Accurate semi-analytical solution for nonlinear vibration of conservative mechanical problems / Structural Engineering and Mechanics, An Int＇l Journal 61(5):657~661
Bayat, M. / 2015 / Nonlinear vibration of mechanical systems by means of Homotopy perturbation method / Kuwait J. Sci 42(3):64~85
Beléndez, A. / 2008 / Higher accuracy analytical approximations to a nonlinear oscillator with discontinuity by He’s homotopy perturbation method / Phys. Lett. A 372(12):2010~2016
Yiming Fu / 2011 / Application of the energy balance method to a nonlinear oscillator arising in the microelectromechanical system (MEMS) / Current Applied Physics 11(3):482~485
Ganji, D. D. / 2007 / Application of homotopyperturbation and variational iteration methods to nonlinear heat transfer and porous media equations / J. Computat. Appl. Math 207(1):24~36
Bayat, M. / 2015 / Nonlinear vibration of mechanical systems by means of Homotopy perturbation method / Kuwait J. Sci 42(3):64~85
Beléndez, A. / 2008 / Higher accuracy analytical approximations to a nonlinear oscillator with discontinuity by He’s homotopy perturbation method / Phys. Lett. A 372(12):2010~2016
Yiming Fu / 2011 / Application of the energy balance method to a nonlinear oscillator arising in the microelectromechanical system (MEMS) / Current Applied Physics 11(3):482~485
Ganji, D. D. / 2007 / Application of homotopyperturbation and variational iteration methods to nonlinear heat transfer and porous media equations / J. Computat. Appl. Math 207(1):24~36
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