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首页> 外文期刊>Journal of Computers >Strip/Foil Rolling Mill Stochastic Excitation Model and Its Stability
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Strip/Foil Rolling Mill Stochastic Excitation Model and Its Stability

机译：条带/箔轧机随机励磁模型及其稳定性

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—Based on the stochastic rolling force data from aluminum hot strip tandem mill, the ARMA time series model and the stochastic excitation power spectral density (PSD) model are established, and the stochastic rolling forces excitation model is established by utilizing Levenberg-Marquardt combined with generalized global planning algorithm. 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 was researched by solving the Fokker-Planck-Kolmogorov (FPK) equation. The results show that the stochastic excitation model obtained has significance for analyzing and researching stochastic dynamics characteristics to the system, and also 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.
机译：- 基于来自铝热带串联磨机的随机轧制力数据，建立了ARMA时间序列模型和随机励磁功率谱密度（PSD）模型，通过利用Levenberg-Marquardt结合建立了随机轧制励磁模型广义全球规划算法。考虑到轧制力的随机因子，提出了两维随机非线性动力学模型。汉密尔顿功能也被描述为一种尺寸扩散过程，通过使用随机平均方法，采用奇异边界理论来分析系统的全球随机稳定性，通过解决Fokker-Planck-Kolmogorov（FPK）研究了系统随机稳定性）方程式。结果表明，所获得的随机励磁模型对系统的分析和研究随机动力学特性具有重要意义，并且在0.02至0.4的范围内的广义能量H，系统的响应具有最小过渡概率密度，系统状态是不容易改变，因此系统广义能量H应在轧机的设计和操作中限制该范围内。

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