Hopf bifurcation control of nonlinear electromechanical coupling main drive system of rolling mill

Liu, Shuang; Ai, Hongling; Pang, Zhenfang; Lin, Zhenjun; Zhao, Dan

doi:10.1140/epjp/s13360-020-00365-0

Cited by 13 publications

(8 citation statements)

References 19 publications

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“…Figures [11][12][13][14][15] show that the nonlinear stiffness, nonlinear friction, gap between the bearing seat and the mill housing, and external disturbing force affect the amplitudefrequency curve variation of the coupled vibration system of the hot rolling mill. Therefore, the resonance behavior of the coupling system can be tailored by selecting appropriate system parameters to reduce the resonance damage on the rolling mill rolls.…”

Section: Analysis Of Amplitude-frequency Characteristicsmentioning

confidence: 99%

“…Therefore, the key to solving this problem is to analyze the rolling mill vibration from the perspective of coupling vibration [10]. Liu et al used the Hopf bifurcation theorem to analyze the stability and bifurcation characteristics of rolling mill rolls by subjecting the main drive system of a rolling mill to an electromechanical coupling vibration [11,12]. Through testing and analyzing the vibration signal of a rolling mill in the rolling process, Peng et al reported many different dynamic motion forms between the rolling mill rolls, strip steel, and rolling parameters; this interaction produces the coupling effect [13].…”

Section: Introductionmentioning

confidence: 99%

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Vertical–Horizontal Coupling Vibration of Hot Rolling Mill Rolls under Multi-Piecewise Nonlinear Constraints

Peng

Zhang

Shi

2021

Metals

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This study establishes a vertical–horizontal coupling vibration model of hot rolling mill rolls under multi-piecewise nonlinear constraints considering the piecewise nonlinear spring force and piecewise nonlinear friction force constraints of the hydraulic cylinder in the vertical direction of the rolls, the piecewise stiffness constraints in the horizontal direction, and the influence of the nonlinear dynamic rolling force in the rolling process. Using the average method to solve the amplitude–frequency response equation of the coupled vibration system and taking the actual parameters of a 1780 mm hot rolling mill (Chengde Steel Co., Ltd., Chengde, China) as an example, we study the amplitude–frequency characteristics of the mill rolls under different parameter settings. The results show that the amplitude and resonance region can be reduced by appropriately reducing the external disturbance force and the nonlinear spring force of the hydraulic cylinder, appropriately increasing the nonlinear friction force, and eliminating the gap between the bearing seat and the mill housing, to avoid the amplitude jump phenomenon due to piecewise variation. Furthermore, using the singularity theory to study the static bifurcation characteristics of the coupled vibration system, we establish a relationship between the vibration parameters and the topological bifurcation solution of the coupled system. The transition sets and their corresponding bifurcation topological structure in three cases are given, and the steady and unsteady process parameter regions of the rolls are obtained. The dynamic behavior of the coupled vibration system can be controlled by varying the bifurcation parameter. This study provides a theoretical basis for restraining the vibration of hot rolling mill rolls and optimizing the process parameters.

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Section: Analysis Of Amplitude-frequency Characteristicsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Vertical–Horizontal Coupling Vibration of Hot Rolling Mill Rolls under Multi-Piecewise Nonlinear Constraints

Peng

Zhang

Shi

2021

Metals

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“…Liu et al [ 6 ] deduced the friction between the roller and the strip, the torsional vibration of the gear pair and the horizontal vibration of the roller, and the dynamical equation of a horizontal–torsional coupled main drive system of a rolling mill. The authors of [ 7 , 8 ] summarized the different dynamic characteristics of the rolls such as variability, time variation, nonlinearity, and multi-constraint in the whole rolling process. Liu et al [ 9 , 10 ] proposed a coupled vibration model for a roll-rolled piece.…”

Section: Introductionmentioning

confidence: 99%

Research on Dynamic Characteristics of the RBBH System Based on Dynamics Model and Vibration Data Fusion

Lin

Sun

Chen

et al. 2022

Sensors

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The roll-bearing-bearing housing (RBBH) system is one of the most common kernel structures used to determine strip mill stability and product surface quality in modern metallurgical machinery. To better understand dynamic characteristics of the RBBH system, this paper provides a nonlinear dynamic model and designs an engineering test platform on the RBBH system in the whole rolling process. First, a nonlinear dynamic model of the RBBH system supported by four-row rolling bearings under high speed and heavy load is established. Then, the method of combining Riccati transfer matrix and Newmark-β numerical integration is employed to solve nonlinear dynamic equations. After that, the engineering test platform is designed and assembled to capture and analyze the vibration signals of weathering steel (SPA-H) with finished thicknesses of 1.6 and 3.2 mm. Finally, the dynamic characteristics of the RBBH system are studied with the method of the dynamic model and vibration data fusion. The results show that the SPA-H with a finished thickness of 1.6 mm is rolled, the RBBH system fluctuates violently in both horizontal and vertical directions, and numerical results are highly consistent with experimental results in acceleration response, velocity response, and displacement response. In addition, the dynamic performance parameters of the four-row rolling bearing will also fluctuate greatly. Finally, there is significant interest to gain the benefits for the RBBH system design and mill stable rolling purposes.

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“…Ding proposed a time-delayed feedback controller in order to control the fractional-order memristor based chaotic system with timedelay [40]. Now, the work of bifurcation control involves the engineering fields such as aviation [41], electrical machinery [42], and bioengineering [43].…”

Section: Introductionmentioning

confidence: 99%

Dynamic Analysis and Degenerate Hopf Bifurcation‐Based Feedback Control of a Conservative Chaotic System and Its Circuit Simulation

et al. 2021

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A novel conservative chaotic system with no equilibrium is investigated in this study. Various dynamics such as the conservativeness, coexistence, symmetry, and invariance are presented. Furthermore, a partial-state feedback control scheme is proposed, and the stable domain of control parameters is analyzed based on the degenerate Hopf bifurcation. In order to verify the numerical simulation analysis, an analog circuit is designed. The simulation results show that the output of the analog circuit system can reproduce the numerical simulation results and verify the correctness of the theoretical analysis.

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Hopf bifurcation control of nonlinear electromechanical coupling main drive system of rolling mill

Cited by 13 publications

References 19 publications

Vertical–Horizontal Coupling Vibration of Hot Rolling Mill Rolls under Multi-Piecewise Nonlinear Constraints

Vertical–Horizontal Coupling Vibration of Hot Rolling Mill Rolls under Multi-Piecewise Nonlinear Constraints

Research on Dynamic Characteristics of the RBBH System Based on Dynamics Model and Vibration Data Fusion

Dynamic Analysis and Degenerate Hopf Bifurcation‐Based Feedback Control of a Conservative Chaotic System and Its Circuit Simulation

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