基于流场特性的管内检测机器人的外形优选研究

管道内检测机器人的结构形状是影响其运动学、动力学特性的关键因素,在机器人设计中占有重要地位。在合理提出一些基本假设后,用二阶迎风差分格式离散管道内检测机器人附近流场的控制方程,并用SIMPLE算法求解,得到了7种不同形状的管道内检测机器人所受的差压驱动力及其周围的流场信息,并对这几种结构的CFD特性作了比较。最后综合空化条件、驱动力、腔内有效体积和加工难度等因素,确定了上游半球形结构为设计形状。     

高空气球外形计算及通用算法设计

高空气球为临近空间中的研究提供了可靠的低成本平台。目前高空气球球形一般直接采用"自然形"或以"自然形"为基础,但通用、简捷地求解"自然形"外形方程一直是个难点。将"自然形"气球外形求解问题转化为最优控制问题,利用最优控制领域成熟的求解工具——高斯伪谱法最优化软件包计算气球外形。此外,通过分析外形数据得到外形变化规律,设计通用算法求解任意球形控制因子、任意高度的"自然形"气球外形。结果显示,该算法无须调参便可计算所需的"自然形"球形,便于科研人员快速获得大量所需     

利用数形结合方法求解几类代数问题

数学研究的对象是现实世界的数量关系(数)和空间形式(形)。“数”和“形”常按照一定的条件相互转化。数形结合思想是数学的重要的思想方法之一,并蕴于数学基础知识和基本技能之中,在数学解题中应用十分广泛。其实质是将抽象的数学语言与直观图形结合起来,发挥“数”与“形”两种信息的转化及其优势互补与整合,使逻辑思维与形象思维完美统一起来。对于培养学生的创新意识和创造思维具有积极的促进作用。     

A stochastic model for burn‐in procedures in accelerated environment

Burn‐in procedure is a manufacturing technique that is intended to eliminate early failures of system or product. Burning‐in a component or system means to subject it to a period of use prior to being used in field. Generally, burn‐in is considered expensive and so the length of burn‐in is typically limited. Thus, burn‐in is most often accomplished in an accelerated environment in order to shorten the burn‐in process. A new failure rate model for an accelerated burn‐in procedure, which incorporates the accelerated ageing process induced by the accelerated environmental stress, is proposed. Under a more general assumption on the shape of failure rate function of products, which includes the traditional bathtub‐shaped failure rate function as a special case, upper bounds for optimal burn‐in time will be derived. A numerical example will also be given for illustration. © 2006 Wiley Periodicals, Inc. Naval Research Logistics, 2006     

基于接触的捞雷具夹紧爪接触面形状优化

介绍了在捞雷具夹紧爪设计过程中引入的基于接触的有限元形状优化设计方法.传统的机械设计方法仅考虑了零件的几何尺寸,而对其形状的设计却考虑不够,导致设计结果不理想.文中将基于接触的有限元形状优化方法应用于传统的机械设计过程.对捞雷具夹紧爪建立基于有限元分析的优化设计模型,使夹紧爪既能满足打捞鱼雷的要求,又得到了优化的形状.结构的特性与受力状况均得到改善.     

Experimental and numerical investigation of zirconium jet performance with different liner shapes design

This paper studies the shaped charge jet performance in terms of different liner shapes including conical,bell,hemispherical and bi-conical liners.The critical angles and the relevant flow velocities for the zir-conium liner material were calculated analytically and numerically using Autodyn hydro-code.The relationship between the critical collapse angle and the flow velocity was determined for the conditions of jet formation and coherency.Penetration tests according to the standard testing procedures of API-RP34 (Section-Ⅱ) were performed to validate the numerical predictions of the jet performance of the studied liners.It was found that the four shaped charge liners all produced coherent jets with different performances.The penetration depth of the shaped charges with the bell and the bi-conical liner shapes increased by 10.3％ and 22％,respectively,while the crater diameter of shaped charge with hemispherical liner increased by 85％ representing the formation of an explosively-formed-projectile (EFP),when they are compared with the corresponding jet characteristics of a conical liner shaped charge.     

保形的Hermite插值样条函数

本文讨论一种满足Hermite 插值条件的保形样条函数,文中构造了一个保单调的样条函数q(x),且q(x)满足下列条件:1)q(x_i)=y_i,i=0,1,2,…,n,n+1;2)q'(x_i)=y'_ii=0,1,2,…,n,n+1.该方法对凸数组及相应的导数也适合。     

Optimal burn‐in procedure for periodically inspected systems

Burn‐in is a widely used method to improve the quality of products or systems after they have been produced. In this paper, we study burn‐in procedure for a system that is maintained under periodic inspection and perfect repair policy. Assuming that the underlying lifetime distribution of a system has an initially decreasing and/or eventually increasing failure rate function, we derive upper and lower bounds for the optimal burn‐in time, which maximizes the system availability. Furthermore, adopting an age replacement policy, we derive upper and lower bounds for the optimal age parameter of the replacement policy for each fixed burn‐in time and a uniform upper bound for the optimal burn‐in time given the age replacement policy. These results can be used to reduce the numerical work for determining both optimal burn‐in time and optimal replacement policy. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2007     

鱼雷外形参数化建模平台研究

鱼雷外形建模是鱼雷设计过程中非常重要的一项工作环节.传统的鱼雷外形建模方法仅仅是利用了CAD绘图软件进行手动建模,但是在鱼雷外形初步设计过程阶段,往往需要对设计参数进行多次调整,这就造成了参数一旦调整就要重新建模,既降低了效率,也浪费了大量的人力和时间.采用了基于Java环境开发的参数输入界面,同时与UG/OPEN二次开发技术相结合,完成鱼雷外形参数化建模平台的搭建,开发出了较为简单方便的鱼雷外形参数化建模的方法,大大提高了鱼雷外形建模的效率.     

囿于控制多边形的NURBS拐点分析与控制

从变形的观点出发,首先研究了一般平面参数曲线变形过程中产生拐点的充分必要条件以及判定拐点的一个泛函方程。在此基础上,给出了研究非凸控制多边形NURBS曲线拐点的方法,特别研究了正则单拐、双拐多边形NURBS曲线拐点的分布问题,得到了分析与控制相应曲线拐点的条件和判据。本文的结果可应用于调节与控制曲线形状的算法设计,也可指导CAD造型工程师的交互设计。