Vibration Control of Time-Varying Delay under Complex Excitation

Wu, Kaiwei; Ren, Chuanbo; Chen, Yuanchang; Shao, Sujuan; Zhou, Jianhui; Ma, Chicheng; Li, Lin

doi:10.3390/mi12091081

Cited by 7 publications

(9 citation statements)

References 26 publications

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“…Where t m = m 3 Dt. c1 = c2 = c3 = 1 in formula (23). g is 21.0098 N/m, which is the best time-delay gain attained by optimization.…”

Section: Time-varying Feedback Control Parametersmentioning

confidence: 95%

“…The vibration absorber's control time-delay settings were then calculated by examining the system's critical stability in the discrete time interval under equivalent harmonic excitation. 23…”

Section: Application Of Harmonic Equivalent Excitation Methods In Tim...mentioning

confidence: 99%

“…Step 2: Calculate the numerical solution of the system dynamics equation (11) under the action of each pair of time-delay control parameters (t n , g n ), and obtain the time-domain response of the system. According to the objective function (23), calculate the value of the corresponding evaluation index J, and use array for storage, denoted as:…”

Section: Time-varying Feedback Control Parametersmentioning

confidence: 99%

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An harmonic equivalent excitation method for random vibration response

Ren

2022

Advances in Mechanical Engineering

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Many loads on engineering structures had obvious randomness, such as earthquakes, wind, sea waves, uneven pavement, etc. The calculation and analysis of random vibration were complicated and inefficient, which has perplexed the development of engineering technology for a long time. To solve the above problems, this paper proposed a harmonic equivalent excitation method for structural random vibration analysis. The excitation force of multi-frequency action in continuous time interval was converted into harmonic excitation force with the same effect as superposition excitation in each discrete time interval by a harmonic equivalent method. The frequency and amplitude of harmonic excitation force in discrete-time intervals were calculated, which were then taken as the deterministic load input of the structure. The response of the structure was calculated by the conventional structural dynamic analysis method. Finally, the harmonic equivalent excitation method was used to analyze random pavement excitation and its application in the control of time-delay vibration reduction. The results show that the harmonic equivalent excitation method simplifies the calculation form of random vibration analysis without reducing the accuracy, and provides an effective method for analyzing random vibration in the engineering field.

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“…Where t m = m 3 Dt. c1 = c2 = c3 = 1 in formula (23). g is 21.0098 N/m, which is the best time-delay gain attained by optimization.…”

Section: Time-varying Feedback Control Parametersmentioning

confidence: 95%

Section: Application Of Harmonic Equivalent Excitation Methods In Tim...mentioning

confidence: 99%

Section: Time-varying Feedback Control Parametersmentioning

confidence: 99%

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An harmonic equivalent excitation method for random vibration response

Ren

2022

Advances in Mechanical Engineering

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“…In Equations ( 19) and (20), each parameter influences the dynamic amplification factor, thereby no analytical solution can be derived. However, some numerical methods can be adopted to obtain the optimal parameters of TMRW [15][16][17]. In this paper, the numerical search is based on a min-max approach.…”

Section: ( ) ( ) ( ) I X T C Hx T C H X T K Hx T K H X T P Tmentioning

confidence: 99%

Structural Vibration Control with the Implementation of a Tuned Mass Rocking Wall System

et al. 2021

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A tuned mass rocking wall (TMRW)-frame structure system is proposed to improve the energy dissipation ability of the traditional rocking wall-frame system. Based on the energy dissipation principle of the traditional tuned mass damper (TMD), a TMRW is designed with proper mass and stiffness according to the dynamic characteristic of the host structure. Firstly, considering the presence of inherent structural damping, the dynamic amplification factor of the main mass was derived from the dynamic equations of the TMRW mechanism. A practical design table was then obtained after parameter study. Secondly, by taking a six-story frame structure as an example, the dynamic time-history analysis was conducted to study TMRW’s seismic performance. The inter-story drift ratios of the TMRW-frame, the traditional rocking wall-frame, and the frame structures were compared, and the seismic responses of the controlled and uncontrolled structures were also compared. The results demonstrate that the TMRW can effectively reduce the inter-story displacement of the host structure, and the lateral deformation mode of the host structure tends to be more uniform. However, compared with the traditional rocking wall-frame system, the proposed TMRW has less ability on coordinating deformation.

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“…Although active suspension energy-feeding techniques have made great achievements in both theory and practice, the incorporation of time hysteresis in energy feeding is still in the preliminary stages of research. The work in this paper is inspired by the finding in previous studies that when suppressing body vibrations under harmonic excitation based on time hysteresis control, body acceleration and dynamic tire loads are effectively suppressed or even eliminated, and the suspension dynamic travel increases [12][13][14]. This is mainly due to advanced vibration suppression systems called time-delay resonators (DR) [15,16] and timedelay feedback dampers (DFVA) [17].…”

Section: Introductionmentioning

confidence: 99%

Theoretical, Numerical and Experimental Research on Vibration Suppression and Energy Collection of Vehicle Active Suspension Based on Time-Delay Control

Atay

Ren

2022

Preprint

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This paper, the impact of time-delay feedback control on vibration energy collection and damping performance is discussed. A time-delay control system of active suspension based on a 1/4 vehicle nonlinear model is designed. The linear motor is used as the actuator of active suspension. The variable learning factor particle swarm optimization algorithm is used to optimize the optimal control parameters of active suspension with time delay. The characteristic root clustering method is proposed to analyze the stability of the active suspension control system with time delay. Finally, the energy recovery and vibration reduction of passive suspension, active suspension without time-delay, and active suspension with time-delay are simulated. The simulation results show that the energy-feeding efficiency of the active suspension with time-delay control under harmonic and random excitation is 114.54% and 20.09% higher than that of the active suspension without time-delay control. Finally, a test bench is built to verify the correctness of the simulation results. The experimental and simulation results error is within 15%, which meets the engineering requirements. The proposed method can significantly improve the energy collection capacity.

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Vibration Control of Time-Varying Delay under Complex Excitation

Cited by 7 publications

References 26 publications

An harmonic equivalent excitation method for random vibration response

An harmonic equivalent excitation method for random vibration response

Structural Vibration Control with the Implementation of a Tuned Mass Rocking Wall System

Theoretical, Numerical and Experimental Research on Vibration Suppression and Energy Collection of Vehicle Active Suspension Based on Time-Delay Control

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