火药燃烧驱动子弹的数值分析

用LS DYNA非线性动力有限元程序对某型号子母弹战斗部模型火药燃烧驱动子弹的前期运动过程进行了数值分析,获得了波纹管材料和子弹壳体材料的应力应变历程曲线以及子弹抛撒的初速度等多个结果,这对于研究该型号战斗部作用机理和效应评估等都有重要意义。模拟计算的子弹抛撒初速度与试验值基本一致。     

浅谈培养解题能力

从深刻理解数学概念内涵、熟悉数学公式及变式和注重解题过程分析三个方面谈如何有效培养学生的解题能力 ,进而促进学生数学能力的发展     

雷电回击地面水平电场的解析求解

假定大地为良导电平面 ,基于DU模型计算了雷电回击地面电磁场 ,并探讨了地面水平电场的求解。对于雷电回击水平电场的两种近似求解方法———大地表面阻抗法和斜波法 ,进行了解析推导 ,并从数学上证明了两种方法在远区场的等价法。     

石河子气温变化趋势特点的奇异谱分析

本文采用1961—2001年石河子地区的气象资料,利用奇异谱分析的方法,分析了40a来气温变化,结果表明,石河子的气温变化具有4个明显的变化周期,分别为33—34年,11—12年,8—9年,3—4年;利用噪声驱动阻尼振子模型对得到的时间周期做了初步的分析,并利用拟合函数集对石河子气温给出了对应的函数变化关系。利用该方法可以对气温的变化特征有一个明晰的物理理解,也可以为将来的气温变化趋势的预测给出一定的借鉴作用。     

四阶Fibonacci数列的通项及性质

著名的二阶Fibonacci数列有许多通项表达式和性质.文中运用矩阵方法,对四阶Fibonacci数列进行了比较深入的研究,求得了四阶Fibonacci数列的3个通项表达式,并得到了一些与Fibonacci数列相似的性质.     

考虑扰动引力影响的弹道助推段误差传播解析计算方法

针对地球扰动引力对弹道导弹惯性导航精度影响日益突出这一问题,研究了沿弹道扰动引力的多项式拟合方法,并基于线性系统理论和弹道摄动思想推导了用于求解扰动引力对弹道助推段状态影响的完整解析表达式。同时考虑扰动引力影响与导弹视加速度之间的耦合特性,将扰动引力引起的视加速度偏差视为扰动引力影响的附加补偿项,并进行迭代修正。仿真结果表明:扰动引力拟合残差小于3×10~(-7)m/s~2,考虑耦合项修正的弹道误差传播解析模型计算残差减小为原有方法的1/3,计算时间仅为直接采用弹道积分求差法的1/10。     

曲面拟合法和梯度法相结合的图像亚像素配准算法

针对传统亚像素配准算法存在精度不高、计算复杂的问题,提出了一种曲面拟合法和梯度法相结合的图像亚像素配准算法。采用9点相关系数曲面拟合法对图像进行粗配准,求得一个相对粗略的亚像素配准位置;在两幅图像中选取相同尺寸的子区图像,在粗略的亚像素配准位置基础上,采用梯度法最终获得精确的亚像素配准位置。不同平移关系下的样本图像亚像素配准对比实验结果表明,该算法实现了曲面拟合法和梯度法的优势互补,有效提高了图像配准的精度,最大配准绝对误差由0.17像素降低为0.02像素。     

A study on the surface overpressure distribution and formation of a double curvature liner under a two-point initiation

The formation mechanism of an EFP(explosively formed projectile) using a double curvature liner under the overpressure effect generated by a regular oblique reflection was investigated in this paper.Based on the detonation wave propagation theory,the change of the incident angle of the detonation wave collision at different positions and the distribution area of the overpressure on the surface of the liner were calculated.Three-dimensional numerical simulations of the formation process of the EFP with tail as well as the ability to penetrate 45# steel were performed using LS-DYNA software,and the EFP ve-locity,the penetration ability,and the forming were assessed via experiments and x-ray photographs.The experimental results coincides with those of the simulations.Results indicate that the collision of the detonation wave was controlled to be a regular oblique reflection acting on the liner by setting the di-mensions of the unit charge and maintaining the pressure at the collision point region at more than 2.4 times the CJ detonation when the incident angle approached the critical angle.The distance from the liner midline to the boundary of the area within which the pressure ratio of the regular oblique reflection pressure to the CJ detonation pressure was greater than 2.5,2,and 1.5was approximately 0.66 mm,1.32 mm,and 3.3 mm,respectively.It is noted that pressure gradient caused the liner to turn inside out in the middle to form the head of the EFP and close the two tails of the EFP at approximately 120μs.The penetration depth of the EFP into a 45# steel target exceeded 30 mm,and there was radial expansion between the head and tail of the EFE increasing the penetration resistance of the EFP.Therefore,the structural size of the unit charge and the liner can be further optimized to reduce resistance to increase the penetration ability of the EFP.     

基于随机拟合的悬浮式深弹弹阵特征建模

通过分析悬浮式深弹发射后在空中的弹道特性,建立了深弹弹着点坐标的计算模型。采取蒙特卡洛方法,分别对舰艇六自由度状态下,单管和六联装火箭深弹的弹着点坐标进行了仿真计算,对弹着点的分布规律进行了研究,并得出弹着点的联合密度函数。结果表明,在发射参数存在正态扰动下,弹着点散布区域均呈椭圆形分布,弹着点坐标均仍服从正态分布。     

Numerical simulation of the natural fragmentation of explosively loaded thick walled cylinders

The ability to predict the natural fragmentation of an explosively loaded metal casing would represent a significant achievement. Physically-based material models permit the use of small scale laboratory tests to characterise and validate their parameters. The model can then be directly employed to understand and design the system of interest and identify the experiments required for validation of the predictions across a wide area of the performance space. This is fundamentally different to the use of phenomenologically based material algorithms which require a much wider range of characterisation and validation tests to be able to predict a reduced area of the performance space. Eulerians numerical simulation methods are used to describe the fragmentation of thick walled EN24 steel cylinders filled with PBXN-109 explosive. The methodology to characterise the constitutive response of the material using the physically based Armstrong–Zerilli constitutive model and the Goldthorpe path dependent fracture model is described, and the results are presented. The ability of an Eulerian hydrocode to describe the fragmentation process and reproduce the experimentally observed fragment mass and velocity distributions is presented and discussed. Finally the suitability of the current experimental analysis methodology for simulation validation is addressed.