Model modification and feature study of Duffing oscillator

Chen, Ting; Cao, Xiangyu; De-zhi, Niu

doi:10.1177/14613484211032760

Cited by 9 publications

(3 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Ye Fan [4] used four cantilever beam groups to form a combined cantilever beam structure in the x and y directions, respectively, and adjusted the natural frequencies in the x and y directions by adjusting the spacing, so as to achieve the purpose of bidirectional vibration absorption of the beam structure. Chen Wenhua [5] designed a frequency-adjustable cantilever DVA for hand-held grinding tools. It can adjust the frequency according to actual need and has good integration of multi-frequency vibration control.…”

Section: Introductionmentioning

confidence: 99%

Reed Design Method of Reed-DVA

Huang²,

Zhang³

et al. 2023

J. Phys.: Conf. Ser.

View full text Add to dashboard Cite

show abstract

Section: Introductionmentioning

confidence: 99%

Reed Design Method of Reed-DVA

Huang²,

Zhang³

et al. 2023

J. Phys.: Conf. Ser.

View full text Add to dashboard Cite

show abstract

“…With regard to calculations of circuit analysis, the DO is supplementary and particularly difficult to deal with. Therefore, Chen et al [9] scrutinized the circuits from the standpoint of vibrating sciences and energetics available to support the investigation of their properties. As a result of this work, users will be able to comprehend the mechanics and the properties of DO in a much more straightforward way.…”

Section: Introductionmentioning

confidence: 99%

Dynamical Analysis of a Damped Harmonic Forced Duffing Oscillator with Time Delay

Moatimid

Amer

2022

Preprint

View full text Add to dashboard Cite

This paper is concerned with a time-delayed controller of a damped nonlinear excited Duffing oscillator (DO). Since time-delayed techniques have recently been the focus of numerous studies, the topic of this investigation is quite contemporary. Therefore, time delays of position and velocity are utilized to reduce the nonlinear oscillation of the model under consideration. A much supplementary precise approximate solution is achieved using an advanced Homotopy perturbation method (HPM). The temporal variation of this solution is graphed for different amounts of the employed factors. The organization of the model is verified through a comparison between the plots of the estimated solution and the numerical one which is obtained utilizing the fourth order Runge-Kutta technique (RK4). The outcomes show that the improved HPM is appropriate for a variety of damped nonlinear oscillators since it minimizes the error of the solution while increasing the validation variety. Furthermore, it presents a potential model that deals with a diversity of nonlinear problems. The multiple scales homotopy technique is used to achieve an estimated formula for the suggested time-delayed structure. The controlling nonlinear algebraic equation for the amplitude oscillation at the steady state is gained. The effectiveness of the proposed controller, the time delays impact, controller gains, and feedback gains have been investigated. The realized outcomes show that the controller performance is influenced by the total of the product of the control and feedback gains, in addition to the time delays in the control loop. The analytical and numerical calculations reveal that for certain amounts of the control and feedback signal improvement, the suggested controller could completely reduce the system vibrations.

show abstract

“…With regard to calculations of circuit analysis, the DO is supplementary and particularly difficult to deal with. Therefore, Chen et al 9 scrutinized the circuits from the standpoint of vibrating sciences and energetics available to support the investigation of their properties. As a result of this work, users will be able to comprehend the mechanics and properties of DO in a much more straightforward way.…”

mentioning

confidence: 99%

Dynamical analysis of a damped harmonic forced duffing oscillator with time delay

Moatimid

Amer

2023

Sci Rep

View full text Add to dashboard Cite

This paper is concerned with a time-delayed controller of a damped nonlinear excited Duffing oscillator (DO). Since time-delayed techniques have recently been the focus of numerous studies, the topic of this investigation is quite contemporary. Therefore, time delays of position and velocity are utilized to reduce the nonlinear oscillation of the model under consideration. A much supplementary precise approximate solution is achieved using an advanced Homotopy perturbation method (HPM). The temporal variation of this solution is graphed for different amounts of the employed factors. The organization of the model is verified through a comparison between the plots of the estimated solution and the numerical one which is obtained utilizing the fourth order Runge–Kutta technique (RK4). The outcomes show that the improved HPM is appropriate for a variety of damped nonlinear oscillators since it minimizes the error of the solution while increasing the validation variety. Furthermore, it presents a potential model that deals with a diversity of nonlinear problems. The multiple scales homotopy technique is used to achieve an estimated formula for the suggested time-delayed structure. The controlling nonlinear algebraic equation for the amplitude oscillation at the steady state is gained. The effectiveness of the proposed controller, the time delays impact, controller gains, and feedback gains have been investigated. The realized outcomes show that the controller performance is influenced by the total of the product of the control and feedback gains, in addition to the time delays in the control loop. The analytical and numerical calculations reveal that for certain amounts of the control and feedback signal improvement, the suggested controller could completely reduce the system vibrations. The obtained outcomes are considered novel, in which the used methods are applied on the DO with time-delay. The increase of the time delay parameter leads to a stable case for the DO, which is in harmony with the influence of this parameter. This drawn curves show that the system reaches a stable fixed point which assert the presented discussion.

show abstract

Model modification and feature study of Duffing oscillator

Cited by 9 publications

References 31 publications

Reed Design Method of Reed-DVA

Reed Design Method of Reed-DVA

Dynamical Analysis of a Damped Harmonic Forced Duffing Oscillator with Time Delay

Dynamical analysis of a damped harmonic forced duffing oscillator with time delay

Contact Info

Product

Resources

About