Use of the software deform 2D to model the process of rolling with vibration of the top work roll

Skripalenko, M. M.; Ashikhmin, D. A.; Skripalenko, M. N.; Sidorov, A. A.; Yang, Xu

doi:10.1007/s11015-013-9660-x

Cited by 11 publications

(2 citation statements)

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“…It can be divided into vertical vibration, 3,14,15 free transverse vibration, 16 verticalhorizontal coupling vibration, 17 torsional vibration, 18 and so on. [19][20][21][22][23][24][25][26] Although the characteristics of the vibration of the rolling mill have been investigated, the 3 and the characteristics of bifurcation were considered by means of singular point stability theory and singularity theory. However, due to the non-smooth characteristic, the research was not focused on the global bifurcation of the piecewise nonlinear dynamic model of rolling mill.…”

Section: Introductionmentioning

confidence: 99%

“…It can be divided into vertical vibration, 3,14,15 free transverse vibration, 16 verticalhorizontal coupling vibration, 17 torsional vibration, 18 and so on. [19][20][21][22][23][24][25][26] Although the characteristics of the vibration of the rolling mill have been investigated, the complicated bifurcations still remain unknown. It is worthwhile noting that a piecewise nonlinear dynamic model of rolling mill was constructed in Hou et al 3 and the characteristics of bifurcation were considered by means of singular point stability theory and singularity theory.…”

Section: Introductionmentioning

confidence: 99%

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Bifurcation and chaos for piecewise nonlinear roll system of rolling mill

Tian

Feng

et al. 2017

Advances in Mechanical Engineering

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A non-smooth cold roll system of rolling mill is studied to reveal the bifurcation of the piecewise-smooth and discontinuous system. To examine the influence of the parameters on the dynamics, the bifurcation diagram is constructed when it is unperturbed. Hamilton phase diagrams of the non-smooth system are detected, which differ significantly from the ones obtained in the smooth system. Non-smooth homoclinic, heteroclinic, and periodic orbits are determined, which depend on the classical heteroclinic periodic orbits, periodic orbits, and a necessary condition. A extended Melnikov function is employed to obtain the criteria for the non-smooth homoclinic bifurcation in this class of piecewise-smooth and discontinuous system, which implies that the existence of homoclinic bifurcation arises from the breaking of homoclinic orbits under the perturbation of damping. The results reveal that this kind of non-smooth factor has little influence on the chaotic threshold apart from calculating piecewise integrals. The efficiency of the criteria for non-smooth homoclinic bifurcation mentioned above is verified by the phase portraits, Poincaré section, and bifurcation diagrams, which laid a theoretical foundation for parameter design, stable operation, and fault diagnosis of rolling mills.

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Section: Introductionmentioning

confidence: 99%

“…It can be divided into vertical vibration, 3,14,15 free transverse vibration, 16 verticalhorizontal coupling vibration, 17 torsional vibration, 18 and so on. [19][20][21][22][23][24][25][26] Although the characteristics of the vibration of the rolling mill have been investigated, the complicated bifurcations still remain unknown. It is worthwhile noting that a piecewise nonlinear dynamic model of rolling mill was constructed in Hou et al 3 and the characteristics of bifurcation were considered by means of singular point stability theory and singularity theory.…”

Section: Introductionmentioning

confidence: 99%