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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.28 No.5
- 발행연도
- 2021.11
- 수록면
- 699 - 709 (11page)
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This paper presents a numerical and analytical study in the time-frequency domain to control the bifurcation and instability in a forced Duffing oscillator by a linear state feedback control. The proposed method evolves minimizing computational expenses of analytical approaches by an approximate method to suppress the responses of the dynamical system based on pole placement theory. The instability frequency range of Duffing oscillator is identified by approximate analytical methods. Bifurcation and jump points of Duffing oscillator are identified in the frequency domain by perturbation and harmonic balance methods for average and strong nonlinearity of the system, respectively. The Caughey method is used to linearize Duffing oscillator to solve system in the state space form. A linear state feedback controller with pole placement is applied to system in the time domain. The observed controlling force is added to approximate solution equation in frequency domain which vanished bifurcation length. The results reveal that the proposed method can be beneficial in reducing dynamic responses and eliminating jump points of system with high accuracy.
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참고문헌 (39)
참고문헌 신청
H.N. Agiza / 2001 / Synchronization of Rossler and Chen chaotic dynamical systems using active control / Physics Letters A 278(4):191~197
Keyvan Aghabalaei Baghaei / 2019 / Chattering-free sliding mode control with a fuzzy model for structural applications / Structural Engineering and Mechanics, An Int＇l Journal 69(3):307~315
F. Beltrán-Carbajal / 2014 / Active vibration control in Duffing mechanical systems using dynamic vibration absorbers / Journal of Sound and Vibration 333(14):3019~3030
M.J. Brennan / 2008 / On the jump-up and jump-down frequencies of the Duffing oscillator / Journal of Sound and Vibration 318(4-5):1250~1261
R. J. Chang / 2017 / Extension of Nonlinear Stochastic Solution to Include Sinusoidal Excitation—Illustrated by Duffing Oscillator / Journal of Computational and Nonlinear Dynamics 12(5):051030
Keyvan Aghabalaei Baghaei / 2019 / Chattering-free sliding mode control with a fuzzy model for structural applications / Structural Engineering and Mechanics, An Int＇l Journal 69(3):307~315
F. Beltrán-Carbajal / 2014 / Active vibration control in Duffing mechanical systems using dynamic vibration absorbers / Journal of Sound and Vibration 333(14):3019~3030
M.J. Brennan / 2008 / On the jump-up and jump-down frequencies of the Duffing oscillator / Journal of Sound and Vibration 318(4-5):1250~1261
R. J. Chang / 2017 / Extension of Nonlinear Stochastic Solution to Include Sinusoidal Excitation—Illustrated by Duffing Oscillator / Journal of Computational and Nonlinear Dynamics 12(5):051030
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