| 引用本文: | 和东平,王涛,任忠凯,冯光,刘元铭.波纹辊轧机辊系主共振时滞反馈控制[J].控制理论与应用,2020,37(7):1552~1561.[点击复制] |
| HE Dong-ping,WANG Tao,REN Zhong-kai,FENG Guang,LIU Yuan-ming.Principal resonance time-delay feedback control of roller system in corrugated rolling mills[J].Control Theory and Technology,2020,37(7):1552~1561.[点击复制] |
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| 波纹辊轧机辊系主共振时滞反馈控制 |
| Principal resonance time-delay feedback control of roller system in corrugated rolling mills |
| 摘要点击 1883 全文点击 551 投稿时间：2019-05-22 修订日期：2020-02-27 |
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| DOI编号 10.7641/CTA.2020.90367 |
| 2020,37(7):1552-1561 |
| 中文关键词 波纹辊轧机 主共振 幅频特性 时滞反馈控制 多尺度法 |
| 英文关键词 corrugated rolling mill principal resonance amplitude-frequency characteristic time-delay feedback control multiscale method |
| 基金项目 国家自然科学基金重点项目,国家自然科学基金,省自然科学基金,中国博士后科学基金 |
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| 中文摘要 |
| 金属复合板波纹辊轧制成形是一项变革技术, 在复合板轧制成形的过程中, 轧制界面的非线性阻尼以及上
下波纹辊之间的非线性刚度都可能导致主共振的发生, 造成辊缝的波动. 考虑了波纹辊轧机波纹界面间的非线性阻
尼和非线性刚度, 建立了波纹辊轧机两自由度垂直非线性数学模型. 利用奇异值理论和相平面法讨论了波纹辊轧
机辊系自治下的稳定性, 运用多尺度法求解了波纹辊轧机辊系在波纹界面激励下主共振的解析近似解和幅频特性
方程. 分析了非线性刚度系数、非线性阻尼系数、系统阻尼系数、轧制力的幅值等参数对主共振的影响. 设计了线
性和非线性复合作用的时滞反馈控制器来对波纹辊系的主共振进行控制, 并且通过数值仿真验证了控制器设计的
正确性和可行性. |
| 英文摘要 |
| The composite sheet corrugated roll rolling technology is a revolutionary technology, the roll shape curve of
corrugated roller is a cosine function curve. During the rolling process of composite plate, the nonlinear damping of the
rolling interface and the nonlinear stiffness between corrugated roll and flat roll may cause principal resonance, resulting
in the fluctuation of roll gap. Considering the nonlinear damping and nonlinear stiffness within corrugated interface of
corrugated rolling mill, establish the mathematical model of the two-freedom-degree vertical nonlinear of roller system in
corrugated rolling mills. The stability of roller autonomous system of corrugated rolling mill is discussed by using singular
value theory. The approximate analytical solution and amplitude-frequency characteristic equations of principal resonance
of roller system excited by corrugated interface are carried out by using the multiple-scale method. The influences of
nonlinear stiffness coefficient, nonlinear damping coefficient, system damping coefficient and rolling force amplitude on
vibration are analyzed. The time-delay feedback controller with linear and nonlinear interactions is designed to control
the principal resonance of the corrugated roll system, and the correctness and feasibility of the controller are verified by
numerical simulation. |
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