Mechanical behavior of a near α titanium alloy under dynamic compression: Characterization and modeling

Dynamic compression tests under strain rates from 870 s^?1 to 2100 s^?1 were conducted for a near α Ti–8Al–1Mo–1V titanium alloy with equiaxed microstructure. Compression behavior, adiabatic shearing and band microstructure were investigated via characterization and calculation. The results demonstrate that all dynamic constitutive curves exhibited obvious stress fluctuation phenomenon with double increase-decrease changing stages at the primary stage of compression. The dislocation multiplication theory can be used to explain this phenomenon. After the stress fluctuation period, work hardening coexisted with the thermal softening, resulting in the slow hardening tendency in constitutive curves. J-C model was utilized to quantify the dynamic constitutive curves. The deviations between the predicted and experimental curves under high strain rates may be attributed to the over-consideration of thermal softening effect in J-C model. Adiabatic shearing band (ASB) began to form under the strain rate of 2100 s^?1. A total shearing strain of 8.1 within ASB achieved in 8.9 μs, corresponding to a local strain rate of about 9.1 × 10⁵ s^?1 and is over 430 times of the macro strain rate. Post annealing was conducted on ASB before EBSD characterization. Due to the static recrystallization during annealing, the α phase within ASB generally presented as ultra-fine grains less than 1 μm in diameter.     

四元多项式代数的判别式

通过分析域k上n元多项式代数在其不变子环上基的性质, 并对n阶对称群做相应的划分, 得到四元多项式代数的判别式.     

取用水监测点的水量计算与变化趋势分析

加强取用水监测是实施最严格水资源管理制度的重要举措.为了更有效地利用大量的取用水在线监测数据,需要对获取的监测数据进行预处理.本文首先提出应用中位数法与曲线拟合相结合的方法对取用水监测数据进行异常值检测,再用曲线拟合方法对异常值进行校正;其次,根据校正后得到的数据进行两个方面的分析,一方面是计算监测点的年取水量,另一方面是应用集成经验模态分解方法分析监测点的日取水量变化趋势;最后,以M市的16个自来水厂2016年取用水在线监测数据为例进行实证分析,结果表明,本文提出的中位数法与曲线拟合相结合的方法能够有效地检测异常值,进而再用曲线拟合方法能够更好地对异常值校正.根据校正后得到的数据进行分析发现81%的监测点年取水量相对2011年水利普查数据有所增加,个别监测点超出许可取水量较多,75%的监测点从春季到冬季日取水量变化为先增后减的抛物线趋势.     

Semi‐Structural Forecasting of UK Inflation Based on the Hybrid New Keynesian Phillips Curve

We develop a semi‐structural model for forecasting inflation in the UK in which the New Keynesian Phillips curve (NKPC) is augmented with a time series model for marginal cost. By combining structural and time series elements we hope to reap the benefits of both approaches, namely the relatively better forecasting performance of time series models in the short run and a theory‐consistent economic interpretation of the forecast coming from the structural model. In our model we consider the hybrid version of the NKPC and use an open‐economy measure of marginal cost. The results suggest that our semi‐structural model performs better than a random‐walk forecast and most of the competing models (conventional time series models and strictly structural models) only in the short run (one quarter ahead) but it is outperformed by some of the competing models at medium and long forecast horizons (four and eight quarters ahead). In addition, the open‐economy specification of our semi‐structural model delivers more accurate forecasts than its closed‐economy alternative at all horizons. Copyright © 2014 John Wiley & Sons, Ltd.     

基于有限时间LaSalle不变集的PMSM混沌控制

为有效地抑制永磁同步电动机系统的混沌行为,基于有限时间理论和LaSalle不变集定理设计了一种自适应控制器。分析了永磁同步电动机系统的混沌动力学特性,确定了系统处于不同运动状态的参数域;在理论上证明该控制器能够在有限时间内稳定到平衡点且能自动跟踪系统平衡点;仿真实验证明,该控制方案形式简单,快速性更好,稳定性更高。研究结果对保证永磁同步电动机的稳定运行具有重要意义。     

探究洛伦兹曲线模型及实例分析

利用洛仑兹曲线的特性,构造出新模型,证明了该模型满足洛伦兹曲线条件.并用实际数据进行验证,找出了五种洛伦兹曲线模型与之对比,发现新模型拟合效果非常显著,这一模型为更好地监控居民收入分配格局提供了较好的理论依据,具有一定的实际意义.     

城市创新能力的成长动力、成长曲线与驱动机制研究——基于213个城市面板数据的实证

城市作为区域发展的中心,集聚各类要素资源与经济社会活动,其创新能力的提升关乎城市经济发展、区域协调发展及国家可持续发展。本文基于以往的研究成果,采集我国213个地级及以上城市2007-2016年间的面板数据,运用时间序列分析、空间数据分析及多元回归分析等研究方法描绘了城市创新能力的成长曲线,对城市创新能力的成长动力与驱动机制进行了探索,得出各个解释变量均对城市创新能力产生了显著的正向影响,其中,创新人才变量驱动能力最强的结论。在此基础上,本文还揭示不同区域不同城市的创新能力驱动机制,对成长动力各个维度在我国不同区域不同城市中的驱动强度进行了验证。     

椭圆曲线y2=(x+a)(x2-ax+p)的大整数点

确定椭圆曲线的有理点(尤其大整数点)是数论与算术代数几何中十分有趣的问题。尤其椭圆曲线在密码学等方面的应用中,针对不同的情况,需要构造不同的椭圆曲线。本文在这类椭圆曲线y²=(x+a)(x²-ax+p)中找到了一族有大整数点的椭圆曲线。同时得到了这族椭圆曲线有整数解的充要条件,且给出了8条椭圆曲线的大整数点。     

闭黎曼流形上临界度量的研究

本文研究了闭黎曼流形上的双参数二次曲率泛函的临界度量，利用带Yamabe常数及曲率的pinching条件，以及我们证明了一个刚性定理。此外，我们也得到另外一些曲率条件下的刚性结果。     

分块对称r循环算子的范数不等式

循环(块循环)算子是一类重要的算子,在量子计算、时间序列分析、压缩感知等科学与工程计算中有着广泛的应用。分块对称r循环(r反循环)算子的生成方式可以看作是将循环算子的生成方式取对称,并将副对角线以下的元素添加参数r或-r,r0。基于降阶思想,利用分块对称r循环矩阵的对角化性质和酉不变(弱酉不变)范数的性质,给出了分块对称r循环算子和分块对称r反循环算子由子块导出的算子范数和Schatten p–范数不等式和等式结果。