Journal ArticleDOI
Non-Linear Vibration and Stability of Moving Strip With Time–Dependent Tension in Rolling Process
TLDR
In this paper, the nonlinear vibration model of a moving strip between two mill with time-dependent tension was established, and approximate solutions were obtained using the method of multiple scales, and the stable regions and unstable regions for parametric resonance were determined with different cases.Abstract:
The strip with a time-dependent tension moves, namely a harmonically varying tension about a constant initial tension. The nonlinear vibration model of moving strip between two mills with time-dependent tension was established. Approximate solutions were obtained using the method of multiple scales. Depending on the variation of the tension, three distinct cases arise: frequency away from zero or two times the natural frequency, frequency close to zero, frequency close to two times the natural frequency. For frequency close to zero and away from zero and two times the natural frequency, the system is always stable. For frequency close to two times the natural frequency, the stability is analyzed respectively when the trivial solution exists and the nontrivial solution exists. Numerical simulation was made on some 1660 mm tandem rolling mill, and the stable regions and unstable regions for parametric resonance are determined with different cases. The rolling speed and the thickness of strip have strong influences on the stability of principle parametric resonances. But the distance between two mills has little influence on the stability of principle parametric resonances.read more
Citations
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Journal ArticleDOI
Optimization of cold rolling process parameters in order to increasing rolling speed limited by chatter vibrations.
TL;DR: The main aim of this paper is to attain the optimum set points of rolling to achieve maximum rolling speed, preventing chatter to occur and significant improvement achieved in rolling speed.
Journal ArticleDOI
Multi-factor coupling system characteristic of the dynamic roll gap in the high-speed rolling mill during the unsteady lubrication process
TL;DR: In this article, a multi-factor coupling dynamic model of a rolling mill system for a dynamic roll gap during an unsteady lubrication process was developed on the basis of the rolling theory, lubrication and the friction theory, and the mechanical vibration theory.
Journal ArticleDOI
Bifurcation and chaos of electromechanical coupling main drive system with strongly nonlinear characteristic in mill
TL;DR: In this article, a strongly nonlinear torsional vibration model of the main drive system in rolling mill under electromagnetic excitation was established by means of Lagrange-Maxwell equation.
Journal ArticleDOI
Vertical Vibration Model for Unsteady Lubrication in Rolls-Strip Interface of Cold Rolling Mills
TL;DR: According to the vertical vibration phenomena existing in cold rolling mills, the unsteady lubrication mechanism in roll gap and its influence to rolling stability was chosen as the case for analysing as discussed by the authors.
Journal ArticleDOI
Nonlinear vibration of axially moving beams with internal resonance, speed-dependent tension, and tension-dependent speed
You-Qi Tang,Zhao-Guang Ma +1 more
TL;DR: In this article, a nonlinear model of an axially accelerating viscoelastic beam is established and the effects of a speed-dependent tension and a tension-dependent speed (a timedependent speed due to perturbation of the tension) are highlighted.
References
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Journal ArticleDOI
Classical Vibration Analysis of Axially Moving Continua
J. A. Wickert,C. D. Mote +1 more
TL;DR: In this article, the equations of motion are cast in a canonical state space form defined by one symmetric and one skew-symmetric differential operator, and the eigenfunctions are orthogonal with respect to each operator.
Journal ArticleDOI
Non-linear vibrations and stability of an axially moving beam with time-dependent velocity
TL;DR: In this article, the non-linear vibrations of an axially moving beam are investigated by including the stretching effect of the beam, where the beam is moving with a time-dependent velocity, namely a harmonically varying velocity about a constant mean velocity.
Reference BookDOI
Steel-Rolling Technology : Theory and Practice
TL;DR: In this paper, the main properties and classifications of steels and alloys are defined and classified, and a theory of plastic deformation is proposed for flat products in the rolling process.
Journal ArticleDOI
Steady-state response of axially moving viscoelastic beams with pulsating speed: comparison of two nonlinear models
Li-Qun Chen,Xiao-Dong Yang +1 more
TL;DR: In this article, principal parametric resonance in transverse vibration is investigated for viscoelastic beams moving with axial pulsating speed, and closed form solutions for the amplitude of the vibration are derived from the solvability condition of eliminating secular terms.
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