求解广义Nash均衡问题的一种新算法

最近,Heusinger和Kanzow将广义Nash均衡问题（GNEP）转化成了带约束和无约束的优化问题．本文在此基础上,设计了一种求解GNEP的算法,在保证解存在的情况下,仅要求共享策略集是闭集而非紧致集,我们证明了算法的收敛性．最后,通过数值实验验证了这种算法具有良好的数值效果．     

A general electron donor–acceptor complex for photoactivation of arenes via thianthrenation

General photoactivation of electron donor–acceptor (EDA) complexes between arylsulfonium salts and 1,4-diazabicyclo[2.2.2]octane with visible light or natural sunlight was discovered. This practical and efficient mode enables the production of aryl radicals under mild conditions, providing an unrealized opportunity for two-step para-selective C–H functionalization of complex arenes. The novel mode for generating aryl radicals via an EDA complex was well supported by UV-vis absorbance measurements, nuclear magnetic resonance titration experiments, and density functional theory (DFT) calculations. The method was applied to the regio- and stereo-selective arylation of various N-heterocycles under mild conditions, yielding an assembly of challengingly linked heteroaryl–(hetero)aryl products. Remarkably, the meaningful couplings of bioactive molecules with structurally complex drugs or agricultural pharmaceuticals were achieved to display favorable in vitro antitumor activities, which will be of great value in academia or industry.

General photoactivation of EDA complexes between arylsulfonium salts and 1,4-diazabicyclo[2.2.2]octane was discovered. This practical mode enables the generation of aryl radicals for C–H functionalization of arenes.     

Interfacial Adhesion between Fatty Acid Collectors and Hydrophilic Surfaces: Implications for Low-Rank Coal Flotation

Fatty acids, which are enriched in vegetable oil, have attracted much attention in low-rank coal flotation because of their unique chemical structure. In this study, density functional theory calculations, molecular dynamics simulations, and atomic force microscopy were employed to investigate the adsorption structure and forces between collectors and hydrophilic surfaces. The results show that fatty acids can be easily adsorbed onto surfaces through hydrogen bonds, and can cover the oxygen sites. The existence of hydration film on hydrophilic surfaces prevented nonpolar molecules from being able to adsorb, while polar fatty acids could adsorb and expel water molecules. The adhesion force between the RCOOH-terminated probe and the surface appeared in the retraction process, which differed significantly from that of the RCH₃-terminated probe, indicating that polar fatty acids are more suitable as flotation collectors for low-rank coal than nonpolar hydrocarbon oil. The simulation and AFM test revealed the mechanisms of polar fatty acids, and can provide guidance for low-rank coal flotation applications.     

多机电力系统电压静态稳定性的特征结构分析法

给出了电压稳定性的分类与定义，提出了一种新的多机系统电压静态稳定性的特征结构分析法。该方法不仅可以给出系统静态电压稳定裕度，而且能够直接计算稳定裕度对状态变量和控制变量的灵敏度，同时能够准确地辨别潮流多值解的属性，具有计算简单快速，提供信息全面、直观的优点。     

AutoCAD高级开发技术的应用

AutoCAD不能直接进行特征建模,二次高级开发工具ObjectARX的推出,为用户开发基于AutoCAD平台上的特征建模系统提供了一种强有力的解决方案。本文结合ObjectARX开发经验,以实例的方式介绍了如何利用ARX开发工具和系统资源,调用AcBr和AcGe类访问和提取三维实体模型上的实体和子实体的几何信息的方法,说明了这两 种类库在特征建模系统开发中的应用。     

钢管订购和运输问题的线性规划模型

本文运用线性规划理论建立了钢管订购和运输计划问题的数学模型。在求解时分别利用了图论中求最短路长的算法、整数规划中的 0— 1规划的解法及运输问题的表上作业法 ,利用计算机求得最优方案 :即最小总费用为 1 2 741 44 .4万元。     

镁合金表面MoS2/树脂杂化涂层的制备及其摩擦磨损和电化学性能研究

以水作为分散介质,制备了含丙烯酸树脂和MoS2颗粒的分散液,以阳极氧化为前处理,采用电化学共沉积法在镁合金表面制备了MoS2/树脂杂化涂层;采用MR 060型多功能摩擦磨损试验机考察涂层的摩擦磨损性能,并分析其磨损机制;采用PARSTAT2273型电化学工作站测试涂层的电化学阻抗谱及极化曲线;利用扫描电子显微镜和能谱仪分析涂层的表面形貌及结构.结果表明：所制备的涂层厚度高达50 μm,在质量分数为3.5%的NaCl溶液中表现出优异的耐腐蚀性能;MoS2的加入,能够有效降低涂层的摩擦系数,提高其耐磨性.     

北运河闸坝生态调度方案评估

针对北运河流域闸坝生态调度拟实现的目标,从水量、生态、环境和水华控制等方面建立了北运河闸坝生态调度方案实施效果评估指标体系,利用TOPSIS法和模糊综合评价模型评估北运河流域闸坝生态调度方案实施效果。结果表明：TOPSIS模型与模糊综合评价结果基本一致,最优调度方案符合实际,且TOPSIS法的结果更便于决策。     

轴承滚道表面最佳残余应力计算及其强化处理

提高滚动轴承的疲劳寿命,按照等效应力假说,可用预加残余应力的方法调整等效应力使其为最小值。本文提出了最佳残余应力的计算方法;并设计了一种产生残余压应力的试验装置和工艺方法。     

压电智能传感器力学模型的建立及数值模拟

以单片压电陶瓷(如锆钛酸铅,简称PZT)晶体、粘贴式和埋入式压电传感器为研究对象,从压电本构方程和结构动力学的振动原理出发,采用集总质量法推导出PZT传感器正压电效应的电荷表达式及等效刚度表达式,建立粘贴式和埋入式PZT传感器的简化力学模型,得到考虑多参数影响的电荷表达式.考虑黏结胶层阻尼吸收能量的作用,建立了胶层阻尼效应影响的传感模型,并求得压电传感器的电压表达式.数值模拟结果表明:在PZT传感模型中,利用压电方程和振动方程联合求解可以快速得到PZT的传感信号,而且PZT片的电压输出特性与作用力的大小及黏结胶层有关.通过测量和分析PZT传感器输出电信号峰值与频率的变化,并与数值分析结果进行对比,证明了运用所建立的传感模型能够有效地模拟检测PZT的正压电规律.