轧制道次间插入冷却对特厚钢板组织与性能的影响

使用实验轧机旁冷却装置配合轧机进行轧制实验，研究轧制道次间不同冷却工艺对特厚钢板组织和性能的影响规律.研究结果表明:采用道次间冷却工艺可以在全厚度方向获得组织细化及强韧性提高效果，采用强冷道次间冷却实验钢1/4处晶粒尺寸可细化至10μm，强度为376MPa，-40℃冲击功为169J;心部晶粒尺寸可细化至15μm，强度为360MPa，-40℃冲击功为123J.本工艺可形成470μm厚表层细晶层，晶粒尺寸可细化至5μm;粗轧道次间插入冷却工艺轧制钢板强度和冲击韧性优于中间坯冷却工艺;随冷却强度增加，钢板内部组织明显细化且强度大幅提高.     

用标准件对梯度磁场定标

就标准厚度卡片在霍尔传感器的定标方面的应用作了有益的探讨。在纵向测量微小长度时,霍尔片处于磁场边缘位置,其对磁场的梯度更大,即灵敏度更高,且靠中心位置的线性更好。     

Skyrmion transport driven by pure voltage generated strain gradient

The magnetic skyrmion transport driven by pure voltage-induced strain gradient is proposed and studied via micromagnetic simulation. Through combining the skyrmion with multiferroic heterojunction, a voltage-induced uniaxial strain gradient is adjusted to move skyrmions. In the system, a pair of short-circuited trapezoidal top electrodes can generate the symmetric strain. Due to the symmetry of strain, the magnetic skyrmion can be driven with a linear motion in the middle of the nanostrip without deviation. We calculate the strain distribution generated by the trapezoidal top electrodes pair, and further investigate the influence of the strain intensity as well as the strain gradient on the skyrmion velocity. Our findings provide a stable and low-energy regulation method for skyrmion transport.     

非均匀介质下的可调光流控器件及其生化应用

 探讨了非均匀介质下不同光流控器件及其生化应用。在微流控芯片上，主要从2个方面开发和实现各类具有光波导、透镜、细胞计数、化学检测等功能的新器件。首先，在液液非均匀介质下，通过调节沟道内液体流速，控制液体间的对流扩散来实现液体在微腔内的渐变折射率分布和阶跃分布，从而得到其特殊的光学特性，例如光束分离、弯曲、自聚焦等。其次，在固体非均匀介质下，利用特殊的微流结构与液体相结合，实现更加灵敏可调的新型探测手段。这些新型技术手段分别在生物传感、能源生产、细胞探测及海水检测等诸多应用中可发挥关键性作用。     

一种自适应步长的复合梯度加速优化算法

自适应步长加速(Adam)类算法由于其计算效率高、兼容性好的特点，成为近期相关领域的研究热点.针对Adam收敛速度慢的问题，本文基于当前梯度、预测梯度以及历史动量梯度，提出一种新型Adam类一阶优化算法——复合梯度下降法(C-Adam)，并对其收敛性进行了理论证明.与其他加速算法的区别之处在于，C-Adam将预测梯度与历史动量区别开，通过一次真实的梯度更新找到下一次迭代更精准的搜索方向.利用两组常用测试数据集及45钢静拉伸破坏实验的实验数据对所提算法进行验证，实验结果表明C-Adam与其他流行算法相比较具有更快的收敛速度及更小的训练损失.     

一阶最优性条件研究

本对由Botsko的关于多变量函数取极值的一阶导数检验条件定理^[1]进行了分析研究，给出了更实用而简捷的差别条件。最后，举出若干例子予以说明。     

Numerical solutions of the shallow water equations with discontinuous bed topography

A simple scheme is developed for treatment of vertical bed topography in shallow water flows. The effect of the vertical step on flows is modelled with the shallow water equations including local energy loss terms. The bed elevation is denoted with z_b^‐ for the left and z_b⁺ for the right values at each grid point, hence exactly representing a discontinuity in the bed topography. The surface gradient method (SGM) is generalized to reconstruct water depths at cell interfaces involving a vertical step so that the fluxes at the cell interfaces can accurately be calculated with a Riemann solver. The scheme is verified by predicting a surge crossing a step, a tidal flow over a step and dam‐break flows on wet/dry beds. The results have shown good agreements compared with analytical solutions and available experimental data. The scheme is efficient, robust, and may be used for practical flow calculations. Copyright © 2002 John Wiley & Sons, Ltd.     

A stochastic algorithm using one sample point per iteration and diminishing stepsizes

A stochastic algorithm for finding stationary points of real-valued functions defined on a Euclidean space is analyzed. It is based on the Robbins-Monro stochastic approximation procedure. Gradient evaluations are done by means of Monte Carlo simulations. At each iteratex _i , one sample point is drawn from an underlying probability space, based on which the gradient is approximated. The descent direction is against the approximation of the gradient, and the stepsize is 1/i. It is shown that, under broad conditions, w.p.1 if the sequence of iteratesx ₁,x ₂,...generated by the algorithm is bounded, then all of its accumulation points are stationary.     

线性分式规划最优解集的求法

本文使用多面集的表示定理，导出了线性分式规划最优解集的结构，并给出确定全部最优解的计算步骤。     

一个线性约束优化问题的广义梯度投影法

本文对线性约束优化问题提出了一个新的广义梯度投影法，该算法采用了非精确线性搜索，并在每次迭代运算中结合了广义投影矩阵和变尺度方法的思想确定其搜索方向．在通常的假设条件下，证明了该算法的整体收敛性和超线性收敛速度．