拉格朗日中值定理的一个新证法

本文给出了利用坐标旋转法证明拉格朗日中值定理的一种新方法。即从罗尔定理出发，采用坐标旋转法及隐函数、复合函数求导法则，证明拉格朗日中值定理，由于该证明方法从直观的几何意义入手，因此，其证明过程更加清晰、易懂。     

门限自回归模型参数的局部正交设计寻优法

在采用点值图确定门限区间个数的基础上，对门自回归模型中门限值、滞后步长、各门限区间模型阶数，利用正交设计方法寻优，计算工作量锐减，却可得到精度较高的预报模型。     

煤粉粒径分布在气固两相流场中的测试技术研究

针对输送管道内煤粉颗粒的粒径分布宽的特点，用侧向接收散射光的Mie散射方法和Fraunhofer衍射方法作了理论分析和实际测试。利用分子筛和显微镜对被测粒子进行了静态测量，其结果可以作为相对准确的测量标准。研究结果表明，针对细粉分离器内煤粉颗粒的形状、浓度和粒径的分布规律，用衍射测试方法可以达到较高的测试精度，取得较好的测试效果。     

提高电铸局部电沉积速率试验研究

电铸成型是采用离子沉积的方法制造复制件，具有很好的复制精度，因此电铸技术得到了广泛的应用。但由于受极限电流密度等多方面因素的影响，电铸速率一直是制约电铸技术发展的一个瓶颈，许多学者为此做了大量的理论和试验研究，但对如何提高极限电流密度还没有提供一个比较满意的答案，为提高电铸局部电沉积速率，本文在前人工作的基础上，讨论了影响电铸速率的因素，提出了一种新型的电铸方法－喷射式电铸，并通过两组试验分析了局部电沉积速率怀电铸液流量的关系以及局部铸速率与喷嘴口径的关系，试验结果表明，采用喷射式电铸可以大大提高局部极限电流密度，从而使电铸局部电沉积速率有一个较大范围的提高，为将电铸与快速成型结合奠定了试验基础。     

Study on the breakup lengths of free round liquid jets

IntroductionBreakup and atomization of roundliquidjetshad been widely used in internal combustion en-gines,gas turbines,and liquid rocket engines.Recently,with the development of scramjet en-gines and the deepening of fuel atomization re-search,it attract…     

大量程纳米分辨率超精密测径仪

提出了一种新型可以测量孔和轴直径的超精密测量仪，该超精密测径仪主要由炫耀光栅和气浮导轨及红宝石探头组成，采用接触式绝对测量方法。介绍了环境温度的控制和减小环境振动的手段，以保证测量的精度和重复性。这种新型测径系统分辨率可以达到1nm,量程范围可达 0～100mm。     

大型复杂仿真系统模型验证的有效途径

根据大型复杂仿真系统的特点,提出了利用贝叶斯(Bayes)理论对大型复杂仿真系统模型进行验证的方法,建立了检验建模与仿真(M＆S)中的复杂假设的规则及实现算法,经过部分实例证明此方法是一种准确、通用和有效的方法。     

复杂系统平均剩余寿命综合评估方法

 针对工程中广泛关注的平均剩余寿命问题， 首先利用信仰推断给出单个设备可靠度的置信分布， 包括指数分布、 威布尔分布和对数正态分布； 然后基于组成系统的设备试验信息， 结合系统的组成结构， 给出系统可靠度的置信分布， 接着根据可靠度和平均剩余寿命之间的关系， 建立复杂系统平均剩余寿命综合评估模型并给出具体的评估算法。 对于在设备试验中经常出现的右删失等不完全数据， 给出了将不完全数据虚拟成等效的完全数据的转化方法。 最后， 通过模拟研究和实例验证， 结果表明本文的方法较为精确， 能够满足工程的实际需求。     

Effect of tube-electrode inner diameter on electrochemical discharge machining of nickel-based superalloy

Nickel-based superalloys are widely employed in modern aircraft engines because of their excellent material characteristics, particularly in the fabrication of film cooling holes. How-ever, the high machining requirement of a large number of film cooling holes can be extremely chal-lenging. The hybrid machining technique of tube electrode high-speed electrochemical discharge drilling (TEHECDD) has been considered as a promising method for the production of film cooling holes. Compared with any single machining process, this hybrid technique requires the removal of more complex machining by-products, including debris produced in the electrical discharge machin-ing process and hydroxide and bubbles generated in the electrochemical machining process. These by-products significantly affect the machining efficiency and surface quality of the machined prod-ucts. In this study, tube electrodes in different inner diameters are designed and fabricated, and the effects of inner diameter on the machining efficiency and surface quality of TEHECDD are inves-tigated. The results show that larger inner diameters could effectively improve the flushing condi-tion and facilitate the removal of machining by-products. Therefore, higher material removal efficiency, surface quality, and electrode wear rate could be achieved by increasing the inner diam-eter of the tube electrode.     

Semi-stochastic modification of second-order radial derivative of Abel–Poisson’s formula for validating satellite gravity gradiometry data

The geoid can be used to validate the satellite gravity gradiometry data. Validation of such data is important prior to their downward continuation because of amplification of the data errors through this process. In this paper, the second-order radial derivative of Abel–Poisson’s formula is modified stochastically to reduce the effect of the far-zone geoid and generate the second-order radial derivative of geopotential at 250 km level. The numerical studies over Fennoscandia show that this method yields the gradients with an error of 10 mE and when the long wavelength of geoid is removed from the estimator and restored after the computations (remove–compute–restore) the error will be in 1 mE level. We name this method semi-stochastic modification. The best case scenario is found when the degree of modification of the integral formula is 200 and the long wavelength geoid to degree 100 is removed and restored. In this case the geoid should have a resolution of 15′ × 15′ and the integration should be performed over a cap size of 3°.