Stochastic Stability of Hot Strip Rolling Mill Rolls

被引：0

作者：

Xu, Baoyu ^{[1
,2
]}

Liu, Yilun ^{[1
]}

Wang, Xudong ^{[2
]}

Wang, Yuqing ^{[1
]}

机构：

[1] Cent South Univ Technol, Coll Mech & Elect Engn, Changsha 410083, Peoples R China

[2] Henan Polytech Univ, Sch Mech & Power Engn, Jiaozuo 454000, Peoples R China

来源：

OPTICAL, ELECTRONIC MATERIALS AND APPLICATIONS, PTS 1-2 | 2011年 / 216卷

关键词：

rolls; stationary probability densities; Fokker-Planck-Kolmogorov equation; stochastic stability; Hamilton function;

D O I：

10.4028/www.scientific.net/AMR.216.698

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

A two dimensional stochastic nonlinear dynamical model of rolls is presented considering the stochastic factor of the rolling force. The Hamilton function is also described as one dimension diffusion process by using stochastic average method, the singular boundary theory was taken for analyzing the global stochastic stability of the system, and the system's stochastic stability is researched by solving the Fokker-Planck-Kolmogorov (FPK) equation. The results show that the generalized energy H in the range of 0.02 to 0.4, the system's response has the minimum transition probability density, and the system state is not easy to change, therefore the system generalized energy H should be to limit in this range in the design and operation of the rolling mill.

引用

页码：698 / +

页数：2

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