高等数学中典型错误剖析及对策

在教学中 ,教师若能预先估量学生的错误 ,有针对性的教学 ,就一定能取得满意的教学效果。本文对高等数学中学生所犯典型错误作归因化剖析并给出相应的对策     

信息融合中的态势关联方法研究

在研究了态势目标航迹关联特点的基础上 ,建立了航迹预测和样条拟合关联模型 .该关联模型首先将前后两段航迹进行预测 ,然后进行样条拟合关联检验 ,从而实现了多目标环境中中断目标态势的关联判断 .经仿真计算 ,此关联模型是可行实用的     

基于Matlab的线性拟合计算

对于弹道导弹,由于其运动受多种因素的影响,因此描述其运动的微分方程是极其复杂的,而且,方程中的部分参数是通过对试验数据的科学处理获得的.为了建立数学模型,有时用数据拟合的方法对试验数据进行处理.运用单变量、多变量的线性拟和方法,给出了"单输入/单输出"、"多输入/单输出"的线性拟合模型,并针对拟合模型中未知参数的确定问题,给出了基于最小二乘的线性矛盾方程组的求解方法.通过仿真计算,能够得到较高精度的计算结果.最后,给出了Matlab的实现方法,并给出了一段具体的实现程序.     

Modeling of the whole process of shock wave overpressure of free-field air explosion

The waveform of the explosion shock wave under free-field air explosion is an extremely complex problem. It is generally considered that the waveform consists of overpressure peak, positive pressure zone and negative pressure zone. Most of current practice usually considers only the positive pressure. Many empirical relations are available to predict overpressure peak, the positive pressure action time and pressure decay law. However, there are few models that can predict the whole waveform. The whole process of explosion shock wave overpressure, which was expressed as the product of the three factor functions of peak, attenuation and oscillation, was proposed in the present work. According to the principle of explosion similarity, the scaled parameters were introduced and the empirical formula was absorbed to form a mathematical model of shock wave overpressure. Parametric numerical simulations of free-field air explosions were conducted. By experimental verification of the AUTODYN numerical method and comparing the analytical and simulated curves, the model is proved to be accurate to calculate the shock wave overpressure under free-field air explosion. In addition, through the model the shock wave overpressure at different time and distance can be displayed in three dimensions. The model makes the time needed for theoretical calculation much less than that for numerical simulation.     

Effect of tongue clearance on hydraulic performance of double support vortex pump

In order to study influence of tongue clearance on the hydraulic performance of double support vortex pump, three dimensional flow model with symmetric variable size tongue clearance was established by changing section parameter of tongue clearance, and applied to numerically simulate the steady inner flow in a vortex pump based on fixed working conditions and impeller through ANSYS FLUENT. The numerical results show the influence of tongue channel with two sections (non-uniform and uniform sections) on flow field characteristics in vortex pump. Firstly, the variation of tongue channel section changes the vortex structure distribution in circumferential flow channel. Specifically the spiral forward vortex structure in the circumferential direction shifts to large radius side with increasing tongue width. Secondly, the circumferential velocity gradient and axial pressure gradient both diminish with the increase of the tongue section, and the inlet/outlet pressure difference and velocity distribution also reduce with increasing tongue channel section. Finally, for vortex pump with non-uniform section of tongue channel, the head diminishes and the efficiency remains constant approximately with the increase of the tongue width, while the head and the efficiency both diminish for uniform section of tongue channel.     

用线性兴波阻力理论计算穿浪双体船的兴波阻力

以线性兴波阻力理论 (薄船理论 )Michell型兴波阻力计算公式为基础 ,结合穿浪双体船的船型特点 ,建立了一次和二次简化的Michell型兴波阻力计算公式 ,并以此简化公式计算了某穿浪双体船WPC×××的兴波阻力 .将计算结果与马丁法计算结果进行了比较 ,并探讨了兴波阻力规律及片体间距对WPC兴波阻力的影响规律 .     

利用声光衍射测量甘草折射率的研究

本文是利用声光衍射测量甘草稀溶液折射率尝试。提出了胶体溶液大分子的球状散射模型,得出了测量使用的一个简化公式,并对甘草溶液的折射率给出了一个实验结论。     

气候条件对城市火灾的影响规律

选取样本城市各项火灾数据和气象参数数据,对样本数据进行筛选计算,通过对两者的一元相关性进行研究,得出火灾概率和典型气象参数之间的关系。     

任意同轴圆线圈互感系数的近似解析公式

为使任意大小、任意距离的两同轴圆线圈之间的互感系数能用关系简单明了的常用解析函数表示,先对用毕奥-萨伐尔定律导出的互感系数积分公式进行数值计算,然后通过对极端情况的分析和对非极端情况进行猜想,采用幂级数、指数、对数或其组合进行试探,再用数值计算验证,最终尝试性地分6种情形给出了两同轴圆线圈在任意大小、任意距离下（除两线圈几乎重合外）互感系数的近似解析表达式。函数表达式比较简单,物理意义比较明确,且相对误差在±5%以内。     

基于高精度景象匹配的SAR平台定位方法研究

为了提高SAR平台定位精度,本文提出了一种基于景象匹配的SAR平台定位的方法。该方法利用成像中间时刻SAR平台与SAR图像中心线上物点共线的特性,先在图像中心线上均匀选取若干点作为匹配点,并与光学基准图进行高精度景象匹配获取它们的物点坐标;然后根据这些物点坐标估计出图像中心线在当地水平面投影的直线方程;最后利用直线信息和斜距高度信息计算SAR平台在水平面上的投影点位置,进而计算得到成像中间时刻SAR平台的空间位置。为了进一步提高匹配精度,分别提出了对正侧视和斜视SAR图像匹配区域进行几何粗校正的方法。本文还分析了不同误差因素对平台定位精度的影响,并给出了精度估计公式。仿真和实际图像实验结果表明,本文方法正确可行,具有较高的定位精度,具备工程实用价值。