Selection of shaped charges parameters for producing aluminum particles with velocities in the range of 2.5-16 km/s

Testing rocket and space technology objects in ground conditions for resistance to the impact of meteoroids and fragments of space debris can be carried out using shaped charges. To substantiate the design parameters of shaped charges that ensure the formation of aluminum particles in a wide velocity range(from 2.5 to 16 km/s), numerical modeling of the formation process was carried out within the framework of a two-dimensional axisymmetric problem of continuum mechanics using three different computing codes to increase the reliability of the results. The calculations consider shaped charges with a diameter of 20-100 mm with aluminum liners of various shapes. It is shown that the formation of particles with velocities close to the lower limit of the considered range is ensured by gently sloping segmental liners of degressive thickness. To form higher-velocity particles with velocities over 5 km/s, it is proposed to use combined liners, the jet-forming part of which has the shape of a hemisphere of constant thickness or the shape of a semi-ellipsoid or semi-superellipsoid of rotation of degressive thickness.

A Subdivision-Based Combined Shape and Topology Optimization in Acoustics

We propose a combined shape and topology optimization approach in this research for 3D acoustics by using the isogeometric boundary element method with subdivision surfaces.The existing structural optimization methods mainly contain shape and topology schemes,with the former changing the surface geometric profile of the structure and the latter changing thematerial distribution topology or hole topology of the structure.In the present acoustic performance optimization,the coordinates of the control points in the subdivision surfaces fine mesh are selected as the shape design parameters of the structure,the artificial density of the sound absorbing material covered on the structure surface is set as the topology design parameter,and the combined topology and shape optimization approach is established through the sound field analysis of the subdivision surfaces boundary element method as a bridge.The topology and shape sensitivities of the approach are calculated using the adjoint variable method,which ensures the efficiency of the optimization.The geometric jaggedness and material distribution discontinuities that appear in the optimization process are overcome to a certain degree by the multiresolution method and solid isotropic material with penalization.Numerical examples are given to validate the effectiveness of the presented optimization approach.

An Equation of Stirling Numbers of the Second Kind

In this paper, We propose and prove the following equation, where {3^n} is a stirling number of the second kind, when n ≥ 3 is given.

Regression Analysis of a Kind of Trapezoidal Fuzzy Numbers Based on a Shape Preserving Operator

Fuzzy regression provides more approaches for us to deal with imprecise or vague problems. Traditional fuzzy regression is established on triangular fuzzy numbers, which can be represented by trapezoidal numbers. The independent variables, coefficients of independent variables and dependent variable in the regression model are fuzzy numbers in different times and TW, the shape preserving operator, is the only T-norm which induces a shape preserving multiplication of LL-type of fuzzy numbers. So, in this paper, we propose a new fuzzy regression model based on LL-type of trapezoidal fuzzy numbers and TW. Firstly, we introduce the basic fuzzy set theories, the basic arithmetic propositions of the shape preserving operator and a new distance measure between trapezoidal numbers. Secondly, we investigate the specific model algorithms for FIFCFO model (fuzzy input-fuzzy coefficient-fuzzy output model) and introduce three advantages of fit criteria, Error Index, Similarity Measure and Distance Criterion. Thirdly, we use a design set and two reference sets to make a comparison between our proposed model and the reference models and determine their goodness with the above three criteria. Finally, we draw the conclusion that our proposed model is reasonable and has better prediction accuracy, but short of robust, comparing to the reference models by the three goodness of fit criteria. So, we can expand our traditional fuzzy regression model to our proposed new model.

Non-Darcy Flow in Molding Sands

Darcy’s law is widely used to describe the flow in porous media in which there is a linear relationship between fluid velocity and pressure gradient. However, it has been found that for high numbers of Reynolds this law ceases to be valid. In this work, the Ergun equation is employed to consider the non-linearity of air velocity with the pressure gradient in casting sands. The contribution of non-linearity to the total flow in terms of a variable defined as a non-Darcy flow fraction is numerically quantified. In addition, the influence of the shape factor of the sand grains on the non-linear flow fraction is analyzed. It is found that for values of the Reynolds number less or equal than 1, the contribution of non-linearity for spherical particles is around 1.15%.

Research on Matching Relationship Between Number of Initiation Points and Charge Diameter

For shaped charges,LS-DYNA software was adopted to explore the influence of number of initiation points on the penetrator formation numerically.Changed the number of initiation points from 4 to 36,the performance of penetrator under four different kinds of typical charge diameter was analyzed,and the effect of detonation wave pressure on the liner was discussed.The minimum number of initiation points to substitute for annular initiation was obtained for each of four warheads with different charge diameters,and the curve representing the relation between the number of initiation points and charge diameter was found out also by using polynomial fitting.The simulation result provides a reference for the design of multimode warhead.

Effects of Carbonation and Freeze-thaw Cycles on Microstructure of Concrete

The hydraulic concrete durability under the alternation of freeze-thaw and carbonation has been systematically investigated in this work, where both the micro part and the microscopic characteristics of concrete interface were analyzed based on computed tomography（CT） test and scanning electron microscopy（SEM）. Average CT numbers of each section, declined at water-cement ratio of 0.35, increased at 0.45, and changed a little at 0.55. The specimen in the absence of fly ash exhibited less types of hydration products and the surface was observed to be a needle-like ettringite, with a relatively dense overall structure. However, with the increase of fly ash content, pores and micro-cracks of specimen structure increased. Hexagonal flake calcium hydroxide, present in the specimen after the first carbonation, was negligible in the test pieces of the first freezethaw where the main hydration products were ettringite and calcium silicate gel. Regular hexagonal plates of calcium hydroxide exhibited in the interior of the specimen in which charring first occurred but calcium hydroxide rarely existed in the interior of the specimen in which freeze-thaw first occurred.

A Combined Shape and Topology Optimization Based on Isogeometric Boundary Element Method for 3D Acoustics

A combined shape and topology optimization algorithm based on isogeometric boundary element method for 3D acoustics is developed in this study.The key treatment involves using adjoint variable method in shape sensitivity analysis with respect to non-uniform rational basis splines control points,and in topology sensitivity analysis with respect to the artificial densities of sound absorption material.OpenMP tool in Fortran code is adopted to improve the efficiency of analysis.To consider the features and efficiencies of the two types of optimization methods,this study adopts a combined iteration scheme for the optimization process to investigate the simultaneous change of geometry shape and distribution of material to achieve better noise control.Numerical examples,such as sound barrier,simple tank,and BeTSSi submarine,are performed to validate the advantage of combined optimization in noise reduction,and to demonstrate the potential of the proposed method for engineering problems.

Ultimate Load Capacity of Offshore Pipeline with Arbitrary Shape Corrosion Defects

A set of generalized solutions are proposed for estimating ultimate load capacity of pipeline with arbitrary corrosion shapes subjected to combined internal pressure, axial force and bending moment. Isotropic and anisotropic material characteristics in longitudinal and circumferential direction of pipeline are also considered in the proposed equations. Simplified numerical method is used to solve the generalized expressions. The comparisons of numerical results based generalized solutions and full-scale experimental results are carried out. The predicted results agree reasonably well with the experiment results. Meanwhile, the effects of corrosion shapes and locations on the ultimate load capacity are studied.

Number Sequencing and Architecture

In Chinese, Mathematics is “数学”, i.e. Numbers （数） Knowledge （学）. Human identifies us ourselves from the whole one of the Universe by means of numbers, and numbers are equal object status identities, and numbers counting means repetition, i.e. the process or time dimension. Given a series of n numbers, a1 , a2 , … , an , n∈N, i.e. the n objects of status, and a general formula a（i） for ordering all of the number terms by i （i=1 to n） can be generated, which shows a process of counting, and from sequencing to progression, some properties are extracted.

Evaluation of the Coherent Combining Lasers Array by the Power in the Bucket of the Main Lobe Method

Coherent combination of laser beam is an important and challenging area of high power laser science. And how to evaluate the high power laser by coherent beam combination is a new research spot. Formulas for the radiated intensity distributions of coherent combined Gaussian beam array are derived via Fraunhofer scalar diffraction model by utilizing representations of the cross-spectral density of the far field. Effects of beam array numbers and separate distances etc. on far field radiated profiles are shown and analyzed. A new conception named power in the bucket of the main lobe (PIMm) is advanced to measure the beam quality of combined beams. This evaluation method is useful for efficiently determining the peak irradiance and power in the bucket for single emitting apertures of general shape.

基于DCS-惯性权重组合的柔性机械臂运动轨迹控制系统研究

为了有效调控机械臂运动幅度,避免柔性机械臂实际运动轨迹与目标轨迹发生较大的偏差,设计一种基于分散控制系统(DCS)-惯性权重组合的柔性机械臂运动轨迹控制系统,它是一个集合了计算机、通信、显示和控制的计算机系统,该系统由过程控制和过程监控。通过DCS算法控制监测对象行为幅度并计算柔性机械臂惯性权重,利用DCS-惯性权重组合求解素数控制指标的具体数值,实现了对柔性机械臂运动轨迹控制系统的软件设计。实验结果表明,DCS-惯性权重组合算法作用下的机械臂末端坐标在横轴、纵轴、空间轴方向上的运动幅值均可以被控制在10个单位长度之内,并且在0.52 s内进入机械臂运动轨迹最佳控制状态,运动轨迹差值最大仅为0.01 rad,验证了该系统具备可行性和有效性。

基于联系数投影的三角模糊数组合预测模型及其应用

在模糊预测中,三角模糊数比区间数更能准确刻画不确定信息。针对三角模糊数组合预测,本文首先引入集对分析中联系数,找出三角模糊数与三元联系数的转换关系,巧妙回避三角模糊数组合预测运算的模糊性和复杂性。其次定义三元联系数运算规则,构建联系数投影作为最优准则,建立联系数投影的定权系数三角模糊数组合预测模型。然后依据高精度预测方法应赋予较大权系数的原则,构建联系数广义诱导有序加权平均(CNGIOWA)算子,研究其性质定理,再结合联系数投影的最优准则,建立基于联系数投影和CNGIOWA算子的变权系数三角模糊数组合预测模型。最后将两类三角模糊数组合预测模型应用到模糊预测实证分析中,结果显示两类组合预测模型都能有效提高预测准确性。

基于博弈论与改进CRITIC-AHP的配电网线路脆弱性评估

针对现有配电网线路脆弱性评估指标单一的问题,从配电网结构、运行状态和故障影响等三个方面出发,全面考虑网络拓扑结构、负荷类型、潮流分布、设备参数和线路故障等影响因素,提出了改进的线路介数、改进的线路度数、线路电压稳定性和线路潮流熵等脆弱性评估指标。为解决权重分配过程中出现的权重偏好问题,提出基于博弈论与改进CRITIC-AHP组合赋权法的综合评价模型。最后,通过在IEEE33节点系统上进行仿真,验证了所提方法的有效性。

暴雨洪涝灾害转移安置人数的组合预测模型研究

为了更加科学精准地预测暴雨洪涝灾害下需要转移安置的人数,收集2011—2018年全国范围内严重暴雨洪涝灾害案例,通过Pearson相关性分析检验转移安置人数与表征暴雨洪涝灾害严重程度影响因素之间的关系;分别使用基于主成分分析的回归模型和支持向量机(SVM)预测暴雨洪涝灾害下需要转移安置人数,并以2种方法的结果为基础,提出1种组合预测方法对暴雨洪涝灾害转移人数进行修正。研究结果表明:组合预测法的MSE、MAE均小于回归预测和SVM模型预测。使用组合预测方法对洪涝灾害转移安置人数进行预测,可以充分结合单一预测模型的优势,提高组合预测模型的预测精度和泛化能力。研究结果可为确定暴雨洪涝灾害的避难需求并制定避难疏散计划提供参考。

基于角度偏差自校正的光纤形状传感结构设计

光纤形状传感中FBG的放置角度误差会影响曲率的计算精度,从而增大形状反演的误差。为了实现传感胶棒的角度自校正,设计了一种自校正形状传感结构,在传感胶棒的感知截面上布设9个FBG,以120°等角度间隔作为基准位置,分别提取±10°位置上的应变,从而实现FBG响应与角度偏差的函数映射。提出了一种基于角度偏差自校正算法,通过适应度函数完成对传感参量α与k的阈值优化,实现任意角度偏差的自校正。仿真分析不同α与k条件下的响应关系,发现α具有很好的线性变化特性,k仅随主敏感FBG波动的特性。在单截面实验中,加载0~100 N应力变化后,9个FBG的平均响应度介于[-1.012με/N,0.987με/N]之间。响应度的正负可以表征弯曲方向,相邻FBG的响应也具有很好的线性度。在组合截面实验中,根据反演结果重建传感胶棒三维结构,输出各点位坐标和应力值信息。

格构式钢管输电塔架的体型系数和雷诺数效应

采用天平测力风洞试验获得亚临界范围钢管塔架的体型系数,研究塔架体型系数随密实度的变化特征,基于规范数据拟合体型系数从亚临界到超临界条件下的雷诺数折算系数,基于试验结果开展塔架体型系数与规范值的对比.试验结果表明,相同密实度下横担的体型系数大于塔身,其原因为横担杆件长细比以及杆件前后的等效间距比均较大;在亚临界条件下塔身体型系数试验值与JEC-TR-00007—2015、DL/T 5551—2018和GB 50009—2012规范值接近,而横担体型系数大于各国规范值;亚临界和超临界条件下各国规范的钢管塔架体型系数随着密实度ϕ的增加而降低,使用最小二乘法拟合获得雷诺数折算系数为0.63+0.72ϕ;在超临界条件下,塔身的体型系数与DL/T 5551—2018、GB 50009—2012规范结果接近,横担的体型系数与IEC 60826—2017和ASCE MOP 74—2020规范结果接近.

U型渠道中直角三角形量水槽体型设计

量水槽体型设计是量水槽应用于灌区的重要环节,目前尚无完善的体型设计标准可依。为解决直角三角形量水槽实际应用中的体型设计问题,提出以淹没度、壅水高度和上游弗劳德数的限制条件为标准的量水槽体型设计准则。在2种型号、3种坡度的U型渠道上,利用钢模板修建5座直角三角形量水槽进行灌区试验;建立了包含渠道坡度的流量公式,拟合了淹没阈值、壅水高度和上游弗劳德数的经验公式。研究表明:含有坡度的流量公式精度较高,平均相对误差仅为1.88%,相对误差的最大值为5.56%,相对误差在±5%范围以内的数据比例为98%;拟合得到的3个经验公式描述了淹没阈值、壅水高度和上游弗劳德数与量水槽喉口宽度之间的定量关系,可用于量水槽体型设计。基于体型设计准则和经验公式,建立了最大流量和最小流量下淹没度小于相应淹没阈值、最大流量下壅水高度小于渠道岸顶超高、最小流量下上游弗劳德数小于0.5的直角三角形量水槽体型设计方法。研究成果可为类似量水槽体型设计提供参考。

工位数固定的U型拆卸线部分拆卸平衡问题

为提高工位数固定的U型拆卸线拆卸效率,减少有害部件对操作人员的潜在威胁,针对高价值零部件和有害零部件的拆卸需求,本文提出了工位数固定的U型拆卸线部分拆卸平衡问题,建立了以最小化节拍时间、高危工位数目和负载均衡为目标的优化模型,并设计了改进的变邻域搜索算法进行求解.在编码过程中提出一种基于零部件释放位置的选择策略,以减少前继零部件拆卸顺序对编码的影响;提出最小偏差二分法,有效减少解码的迭代次数;提出瓶颈挤压局部搜索策略,用以优化节拍时间和均衡负载指标.通过与其他算法对比,结果表明改进的变邻域搜索算法求解具有优越性,并且可实现对工位数固定的U型拆卸线部分拆卸平衡问题的高效求解.

特殊体型男西装高级定制虚拟仿真实验建设与实践

传统的特殊体型男西装高级定制实验教学存在特殊体型模特缺乏、西装款式单一、成本高、周期长及教学效果差等问题。基于虚拟仿真技术,文章对这一重点与难点综合实验进行了建设实践,构建了虚实结合的线上线下混合式实验教学体系,并在实际教学中实施。该虚拟仿真实验教学体系可引导服装专业学生通过探究式学习实现理论知识向工程实践应用的转化,培养学生解决复杂工程问题的能力。