高斯色噪声激励下四辊冷轧机垂直振动模型的响应分析  

Response Analysis for a Vertical Vibration Model of Four-roller Cold Rolling Mill under Gaussian Colored Noise Excitation

作　　者：陈晓菲 李晶[1] 郭蓉 CHEN Xiaofei;LI Jing;GUO Rong(School of Applied Sciences,Taiyuan University of Science and Technology,Taiyuan 030024,China)

机构地区：[1]太原科技大学应用科学学院,山西太原030024

出　　处：《海南师范大学学报（自然科学版）》2023年第4期387-392,共6页Journal of Hainan Normal University（Natural Science）

基　　金：国家自然科学基金项目(52004169);山西省高等学校科技创新项目(2022L316)。

摘　　要：本文研究了具有谐波力和高斯色噪声激励下四辊冷轧机垂直振动模型的非线性动力学响应。通过平均法和随机平均法分别对四辊冷轧机垂直振动模型进行了理论分析。通过蒙特卡罗方法验证了近似解析法的有效性。最后,探讨了随机激励对轧机系统稳态响应的影响。研究发现色噪声的噪声强度和相关时间会引起低振幅和高振幅振荡之间的随机转移。这项研究可为实现四辊冷轧机垂直振动系统的振动控制和可靠性设计提供理论指导。In this paper,the nonlinear dynamic responses of the vertical vibration model of four-roller cold rolling mill with har⁃monic force and Gaussian colored noise excitation are investigated.The vertical vibration model of four-roller rolling mill is theoret⁃ically analyzed by the averaging method and the stochastic averaging method,respectively.The correctness of the approximate ana⁃lytical method is verified by Monte Carlo numerical results.Finally,the influences of the random excitation on steady-state re⁃sponses of rolling mill system is discussed.It is found that the noise intensity and correlation time of the colored noise can induce the occurrence of stochastic transitions between low-amplitude and high-amplitude oscillations.This study can provide theoretical guidance for the realization of vibration control reliability design in the four-roller cold rolling mill system.

关 键 词：四辊冷轧机 高斯色噪声 随机平均法 随机转移 

分 类 号：O29[理学—应用数学]