海南师范大学学报（自然科学版）2023，Vol.36Issue(4)：387-392,6.DOI:10.12051/j.issn.1674-4942.2023.04.005
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
摘要
Abstract
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Key words
four-roller cold rolling mill/Gaussian colored noise/stochastic averaging method/stochastic transitions分类
数理科学引用本文复制引用
陈晓菲,李晶,郭蓉..高斯色噪声激励下四辊冷轧机垂直振动模型的响应分析[J].海南师范大学学报（自然科学版）,2023,36(4):387-392,6.基金项目
国家自然科学基金项目(52004169) （52004169）
山西省高等学校科技创新项目(2022L316) （2022L316）
