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异步冷轧工艺系统的非线性振动研究
供稿: 赵武;李冲;张鸿斌;黄丹 时间: 2019-07-04 次数:

作者:赵武李冲;张鸿斌;黄丹

作者单位:河南理工大学机械与动力工程学院;河南理工大学材料科学与工程学院

摘要:构建异步冷轧工艺系统的非线性振动模型,分析该动力系统在不同工况下的运动特性,包括分岔、混沌及主共振。通过对动力学方程的仿真和分析,判定系统性态发生变化的条件,以此获得系统振动的运动发展趋势。通过观察系统运动路径的周期性变化,定性获知系统的稳定运动周期轨道。通过不同频率比ω_b、不同异速比n的相图、Poincaré截面图和分岔图,得到异步冷轧系统非线性振动性态的变化趋势:异速比n对于系统振幅的影响不大;不同的调谐值σ对异速比n的敏感性不同,在0右侧附近的调谐值σ对异速比n最敏感,存在幅值跳跃现象。通过对异步冷轧系统主共振的分析,明确轧制系统的共振发生区域,以及参数变化时共振形态的变化趋势。研究结果可为实际轧制生产提供参数优选区间,避开共振区频率,当生产系统的物理特性改变时及时调整临界参数,减少和抑制异步冷轧系统的振动,提高板材轧制质量。

基金:国家自然科学基金资助项目(U1604140);河南省基础前沿研究项目(092300410214);河南理工大学省级重大成果培育项目(NSFRF170503);

关键词:异步冷轧;频率比;异速比;主共振;

DOI:10.16186/j.cnki.1673-9787.2019.4.14

分类号:TG333

Research on nonlinear vibration of asynchronous cold rolling

ZHAO WuLI ChongZHANG HongbinHUANG Dan

School of Mechanical and Power Engineering, Henan Polytechnic UniversitySchool of Materials Science and Engineering, Henan Polytechnic University

Abstract:A nonlinear vibration model of asynchronous cold rolling system was proposed, and the motion path, bifurcation, chaos and the main resonance of the system under different service conditions were investigated.The simulation of the dynamic equations could identify the transformation criterion of the systemic performance, and could reveal the tendency of the systemic oscillating motion trajectory.The qualitative analyses of the stable periodical motion path of the system were conducted through the observation of the periodical transformation on it.In the light of the phase diagrams with different frequency ratiosωband asynchronous speed ratiosn, Poincaré cross-section diagrams, and bifurcation diagrams, the variation tendency were demonstrated for the nonlinear vibration performance in the asynchronous cold rolling system, where there was little effect of speed rationon the systemic amplitude.The sensitivity ofσto speed rationwas varied with differentσvalue, while theσvalue close to the right side of 0 was most sensitive to speed rationwhere there even existed the amplitude jump.The resonance region in the asynchronous rolling system, and the evolution of resonance state in case of the variation of parameters, were determined by way of the analysis on main resonance in the asynchronous cold rolling mill.The results could provide the optimized parameters range for the rolling production, and avoid the working frequency from falling in the resonance region.The physical characteristics on the producing system might be adjusted to change the critical parameter to reduce and restrain the vibration in the asynchronous cold rolling system, and the rolled plates quality could be enhanced.

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