Designing and reporting on computational experiments with heuristic methods

This article discusses the design of computational experiments to test heuristic methods and provides reporting guidelines for such experimentation. The goal is to promote thoughtful, well-planned, and extensive testing of heuristics, full disclosure of experimental conditions, and integrity in and reproducibility of the reported results.     

用Mathematica解一个系统的优化设计问题

Mathem atica软件 [1 ] 拥有符号运算、数值计算、和图形演示等广泛的数学计算功能 .本文用Mathematica解决了一个系统的优化设计问题 .通过对各容差搭配方案下目标值 y的方差估计和计算机随机模拟两种方法 ,得到了该系统的最优设计方案 .这两种方法也适用于一般的系统最优设计问题     

结构试验台座的选型与设计计算

综述了各类结构试验台座的特点。介绍了结构试验台座的设计计算方法，结合实例进行了台座的选型，并对台座的基础，板厚，锚固骨架进行具体设计计算。     

实验和数值模拟超导绕组的机械特性

为了减少环氧浸渍的超导磁体的锻炼和退化效应，基于实验和数值模拟研究了在热应力的电磁力的条件下超导绕组的机械特性；研究的基本目的是决定超导复合线圈基本的材料特性，其中复合超导绕组的杨氏模量和热收缩系数是基本的参数，使用这些参数我们可以用有限元方法精确地研究超导磁体的机械特性，通过分析各种超导磁体的设计，判断好的和坏的磁体设计，从而发展新的超导磁体的设计标准，形成超导磁体的设计和建造的基本方法，本中我们将通过实验和FEA模拟研究复合绕组的基本参数和应用特性。     

饮料罐尺寸的最优解证明及其优化设计

为了发掘节省原料的潜力,对销量很大的饮料易拉罐进行优化设计.建立起具有通用性的优化模型;运用压缩变量技术,解决了模型复杂不易求解的困难;给出了便于实施计算的一整套显式求解公式.通过方向导数分析和流动极值分析,证明了解的最优性,指出了目标函数的退化特征及其临界状态;结合数学理论分析、具体数值计算和实际工艺条件,形成了层层递进式的优化设计途径.     

高温电视摄像镜头设计

讨论了在高温环境下使用的电视摄像镜头的设计方法,分析了在这种特殊使用条件下的材料选择、光学参数的确定和光轴的指向问题.提出了一种采用三次成像的方法来实现设计要求,在保持系统各单元孔径都很小的前提下,拉长系统的结构长度,并给出了具体设计结果的评价参数,表明该系统可在较宽的温度范围内获得非常好的成像质量,设计思想适合于高温环境下光学系统的设计实践.     

液体火箭发动机健康诊断系统设计与实现

设计和实现了液体火箭发动机健康诊断系统,基于两种现役液体火箭发动机3种类型的20余次地面热试车数据,提取了200个特征参数,初步确定了针对不同健康状态的权重向量,建立了基于案例和基于规则的综合诊断,生成健康诊断报告.系统现已投入某型液体火箭发动机的科研与生产,为火箭发动机的校准试车后不分解交付提供依据.     

Inverse Eigenvalue Problem in Structural Dynamics Design

1 Introduction Structural dynamics design is to design a structure subject to the dynamic characteristics re- quirement, i.e., determine physical and geometrical parameters such that the structure has the given frequencies and (or) mode shapes. This problem often arises in engineering connected with vibration. Recently, Joseph [1], Li et al. [2,3] converted the structural dynamics design to the following inverse eigenvalue problem. GIEP Let x = (x1, , xm)T , and let A(x) and B(x) be real n…     

Impulsive loading of clamped monolithic and sandwich beams over a central patch

An analytical model is developed for the response of clamped monolithic and sandwich beams subjected to impulse loading over a central loading patch. A number of topologies of sandwich core are investigated, including the honeycomb core, pyramidal core, prismatic diamond core and metal foam. The various cores are characterised by their dependencies of through-thickness compressive strength and longitudinal tensile strength upon relative density. Closed-form expressions are derived for the deflection of the beam when the ratio r of length of loading patch to the beam span exceeds 0.5. In contrast, an ordinary differential equation needs to be solved numerically for the choice r<0.5. Explicit finite element calculations show that most practical shock loadings can be treated as impulsive and the accuracy of the impulsive analytical predictions is confirmed. The analytical formulae are employed to determine optimal geometries of the sandwich beams that maximise the shock resistance of the beams for a given mass. The optimisation reveals that sandwich beams have a superior shock resistance relative to monolithic beams of the same mass, with the prismatic diamond core sandwich beam providing the best performance. Further, the optimal sandwich beam designs are only mildly sensitive to the length of the loading patch.     

Minimum embedding of P3‐designs into (K4—e)‐designs

A (K₄ ? e)‐design on v + w points embeds a P₃‐design on v points if there is a subset of v points on which the K₄ ? e blocks induce the blocks of a P₃‐design. It is shown that w ≥ ¾(v ? 1). When equality holds, the embedding design is easily constructed. In this paper, the next case, when w = ¾v, is settled with finitely many exceptions. © 2003 Wiley Periodicals, Inc. J Combin Designs 11: 352–366, 2003; Published online in Wiley InterScience ( www.interscience.wiley.com ). DOI 10.1002/jcd.10044