蝴蝶定理线束夹角表达形式的研究

利用射影几何有关线束与点列的交比关系,给出广义蝴蝶定理的线束夹角的三角函数及斜率表示形式,并且统一给出蝴蝶定理的线段表示新形式.     

基于增量动力分析的钢框架结构抗震性能评估

为了预测结构的抗震能力,以分别代表低层、中层及高层结构的3层、9层、20层钢框架为例,采用增量动力分析方法对3个结构模型进行了近断层地震作用下不同强度指标的地震性能评估．基于增量动力分析,从概率的角度得到了结构在不同强度指标下的地震危险性曲线、年平均超越概率及重现周期．通过对比分析发现不同层数的结构模型选取不同的强度指标进行性能评估的有效性不同：3个结构模型均适合采用Sa作为地震动强度指标;3层钢框架不适合采用aPGA作为强度指标,9层钢框架较适合采用aPGA作为强度指标,而20层钢框架选取aPGA作为强度指标的有效性尚不确定．     

应用自然伽马曲线反演陇东地区延安组沉积旋回

自然伽马曲线包含丰富的地质信息,能够很好地反映由气候变化引起的地层旋回.采用频谱分析对鄂尔多斯盆地陇东地区延安组湖沼相自然伽马测井曲线进行反演,可以得出地层中很好地保存了高频的米兰科维奇旋回,认为研究区延安组地层中的沉积旋回主要受古气候变化的控制,其中偏心率周期引起的地层旋回厚度变化范围为7.86～16.75 m;地轴倾角周期引起的地层旋回厚度变化范围为2.34～6.36 m;岁差周期引起的地层旋回厚度变化范围为1.14～2.96 m.频谱分析法可用于测井曲线进行高频沉积旋回分析.     

一种基于曲线匹配的印鉴图像自动检索方法

从汉字笔划横平竖直这一特点出发,提出了汉字图像中适合于印鉴图像检索的两种特征:汉字的外边缘轮廓和汉字的方向投影密度.进而用函数曲线对这两种特征进行量化描述,将对汉字的匹配归结为对函数曲线的匹配.最后通过实验验证了这两种特征的稳定性以及基于这两种特征的曲线匹配方法的有效性.     

等时降线问题的求解

考虑了给定下降时间函数的下降曲线的求解问题.将质点沿光滑曲线从一定高度下滑所需时间的问题转化为积分方程求解的问题，并对积分方程进行阿贝尔积分变换，再利用积分换序方法给出了求解公式，最后证明了等时降线问题的解是一条倒摆线.     

Forecasting of electricity price through a functional prediction of sale and purchase curves

This work proposes a new approach for the prediction of the electricity price based on forecasting aggregated purchase and sale curves. The basic idea is to model the hourly purchase and the sale curves, to predict them and to find the intersection of the predicted curves in order to obtain the predicted equilibrium market price and volume. Modeling and forecasting of purchase and sale curves is performed by means of functional data analysis methods. More specifically, parametric (FAR) and nonparametric (NPFAR) functional autoregressive models are considered and compared to some benchmarks. An appealing feature of the functional approach is that, unlike other methods, it provides insights into the sale and purchase mechanism connected with the price and demand formation process and can therefore be used for the optimization of bidding strategies. An application to the Italian electricity market (IPEX) is also provided, showing that NPFAR models lead to a statistically significant improvement in the forecasting accuracy.     

1-羟基苯并三氮唑和钼酸钠对铜的缓蚀协同作用

采用电化学、扫描电子显微镜、X射线光电子能谱等实验方法研究了1-羟基苯并三氮唑(BTAOH)和钼酸钠(Na2Mo O4)复配后对铜在ASTM D 1384模拟大气腐蚀溶液中的缓蚀协同作用.电化学实验结果表明:BTAOH与Na2Mo O4在50 mg·L-1的质量浓度条件下,以2∶1复配使用能够显著提高铜在模拟大气腐蚀溶液中的电荷转移电阻,降低腐蚀电流密度,缓蚀率达到90.7%;铜在模拟大气腐蚀溶液中的腐蚀产物呈聚集柱状堆砌在表面,而在含有缓蚀剂的溶液中表面平整致密,且疏水性增强,接触角显著增大至91.8°.X射线光电子能谱结果显示Na2Mo O4与铜表面作用后形成Mo O3和Mo O2,两种氧化物填充在BTAOH形成的表面膜的缝隙中,提高了膜的致密性,对铜产生良好的保护作用.     

定轴横轧螺杆压缩机阴转子的辊型曲线

定轴横轧直接近净成形带有螺旋齿形的螺杆转子是一种新型工艺,轧制耦合曲线是其核心和关键.该轧制工艺中,轧辊和轧件的啮合关系与原有啮合关系有较大差异,因此需要根据轧制工艺需求重新构建具有普遍适用性的轧辊和轧件的耦合曲线.以轧制某型号的螺杆阴转子为例,依据轧辊和轧件的共轭啮合运动关系,构建了适合于定轴横轧工艺的轧辊和轧件耦合曲线的几何模型;结合建立的变换矩阵推导求解了相应耦合曲线的参数化方程,实现了轧制工艺的通用性.三维动态啮合仿真模拟显示啮合过程良好,无冲突干涉现象发生,表明所建立的描述轧辊和轧件耦合曲线的数学模型是正确的.     

Corrosion behavior of low alloy steels in a wet–dry acid humid environment

The corrosion behavior of corrosion resistant steel (CRS) in a simulated wet–dry acid humid environment was investigated and compared with carbon steel (CS) using corrosion loss, polarization curves, X-ray diffraction (XRD), scanning electron microscopy (SEM), electron probe micro-analysis (EPMA), N₂ adsorption, and X-ray photoelectron spectroscopy (XPS). The results show that the corrosion kinetics of both steels were closely related to the composition and compactness of the rust, and the electrochemical properties of rusted steel. Small amounts of Cu, Cr, and Ni in CRS increased the amount of amorphous phases and decreased the content of γ-FeOOH in the rust, resulting in higher compactness and electrochemical stability of the CRS rust. The elements Cu, Cr, and Ni were uniformly distributed in the CRS rust and formed CuFeO₂, Cu₂O, CrOOH, NiFe₂O₄, and Ni₂O₃, which enhanced the corrosion resistance of CRS in the wet–dry acid humid environment.