轧制界面非稳态油膜润滑特性

以流体力学理论、轧制理论及Hill的特性曲线微分方程解法为基础,建立了轧制界面考虑入口板带厚度、轧辊半径发生波动下非稳态油膜厚度分布动力学模型,提出了油膜波动系数来反映界面油膜厚度绝对波动,并进行了相应的仿真分析.结果表明:非稳态条件下轧制界面油膜厚度分布性态会随时间不同而发生变化,不同时刻最小油膜厚度也会发生变化;界面油膜厚度的绝对波动会随着入口板带厚度、轧辊半径非均匀程度加剧而变大,而入口板带厚度、轧辊半径的变化频率对界面油膜厚度的绝对波动影响较小.     

Dynamics analysis on neural firing patterns by symbolic approach

Neural firing patterns are investigated by using symbolic dynamics. Bifurcation behaviour of the Hindmarsh--Rose (HR) neuronal model is simulated with the external stimuli gradually decreasing, and various firing activities with different topological structures are orderly numbered. Through constructing first-return maps of interspike intervals, all firing patterns are described and identified by symbolic expressions. On the basis of ordering rules of symbolic sequences, the corresponding relation between parameters and firing patterns is established, which will be helpful for encoding neural information. Moreover, using the operation rule of $\ast$ product, generation mechanisms and intrinsic configurations of periodic patterns can be distinguished in detail. Results show that the symbolic approach is a powerful tool to study neural firing activities. In particular, such a coarse-grained way can be generalized in neural electrophysiological experiments to extract much valuable information from complicated experimental data.     

冷轧过程中的混合润滑特性

基于Christensen的表面粗糙峰分布假设,以轧制理论、流体力学理论为基础建立了考虑表面粗糙度的冷轧混合润滑模型,并提出了混合润滑摩擦状态约束关系式用来判别摩擦状态.对不同条件下油膜厚度、接触面积比、压应力及摩擦应力分布情况进行了仿真分析.结果表明:随着压下率的增加,油膜变薄、界面接触面积比增加、应力增大;同时,表面粗糙度对界面接触面积比及应力分布有较大影响,粗糙度增加,界面接触面积比增加,压应力及摩擦应力均增加.较高的润滑液黏度或轧制速度可以有效地降低轧制界面摩擦力及轧制力.     

非线性动力系统分岔图中的暗线

基于非线性动力系统混沌运动的回归特性，构造了一种对分岔图中穿过混沌区的暗线进行研究的数值回归算法。运用该算法求得抛物线映射的暗线，并与通过暗线方程精确求得的暗线进行比较，验证了算法的有效性。对Brussel振子系统和分段线性单级齿轮动力系统的暗线进行了研究。通过对非线性动力系统分岔图中暗线的研究，由其切点可以得到嵌在混沌区中的周期窗口，由其交点可以得到混沌吸引子的激变点。研究结果表明该算法有助于分析系统的动力学行为和控制混沌运动。