次优化

The system consists of four parts such as Data Management of Product Model,Finite Element Analysis, Optimal Design and Graphics Drawing; and its main work is searching for an optimal scheme of chief axis with Sequential Quadratic Programming Method by finite element static and dynamic characteristical analysis of the axis and saving the results of design as documents or outputing them.

系统出产品模型数据管理、有限元分析、优化设计和图形绘制四部分组成。通过对车床主轴二维垂直剖面力学模型的有限元静、动态特性分析，采用序列二次规划的优化设计方法寻求主轴设计的优化方案，并将优化设计结果形成文档或输出。提出产品设计模型的概念，通过它可自动生成有限元分析模型、优化设计模型和图形模型三个子模型，将有限元分析、优化设计、图形绘制三部分结合在一起。

A deterministic global optimization algorithm based on Lagrangian dual is proposed for solving the nonconvex quadratic programming with nonconvex quadratic constraints, which is often encountered in technical design and operational research.

针对带有非凸二次函数约束的非凸二次规划问题，提出了一个基于拉格朗日对偶的确定型全局优化算法，这类优化算法可广泛应用于工程设计和非线性系统的鲁棒稳定性分析等实际问题中。

Based on the ICMmethod,the discrete topological optimization problem about spot-weld's existence or not is transformed into the continuous optimization problem on[0,1].The optimization model is founded with maximizing the structural stiffness as objective and structural strength as constraints.The problem of multi-objectives and multi-constraints is transformed into the problem of single-objective and single-constraint with the K-S function.The displacement and stress are transformed into the explicit function of design variables with the Response Surface Methodology.The optimization model is solved with Sequential Quadratic Program.

基于ICM（Independent Continuous Mapping，即独立、连续、映射）方法，将焊点有无的离散拓扑优化问题转化为[0，1]区间上的连续优化问题；建立了以结构刚度最大为目标、结构强度为约束的连续拓扑优化模型；采用K-S函数将多目标和多约束问题转化为单目标和单约束问题；运用响应面方法将位移和应力转化为设计变量的显式函数，采用序列二次规划方法求解优化模型。

The optimality conditions of Kuhn-Tueker and Fritz John's saddle points of vector optimization for generalized subconvex-like mapping are presented. Lagrange dual mapping and relationships among optimality conditions of saddle points, efficient and weak efficient solutions for vector and scalar optimization are established.

在拓扑向量空间框架内研究广义锥次类凸映射的向量优化，给出了广义锥次类凸映射的Kuhn-Tucker和Fritz John鞍点的最优性条件和Lagrange对偶，建立鞍点最优性条件与向量优化有效解和弱有效解之间的联系。

Theequivalence percolation resistance law is accurate enough to be used in productivitycalculation of horizontal well pattern.(3) Productivity of mixed well pattern of horizontalwell or multilateral horizontal well and vertical well is constructed and formulae are simpleenough to be used in the oilfield. The patterns include 5-spot pattern,7-spot pattern and9-spot pattern.(4) Productivity formula of united rectangular well pattern of horizontaland vertical wells is constructed. By this formula, the calculation results show that fora horizontal well length, there is a shape factor at which the productivity of the patternis biggest. So optimum method of the well pattern is proposed.(5) A new concept ofdimensionless length of horizontal well is advanced and the relationship of optimum shapefactor of the rectangular well pattern against dimensionless length of horizontal well ispresented. The influences of length of the horizontal well, area of the well pattern unitand the thickness of reservior are concerned.

利用该公式计算表明：当水平井长度一定时，存在一个最优井网形状，使得水平井的产能最大，在此基础上提出了水平井井网的优化方法；(5)提出了水平井无因次长度的概念，给出了联合井网最优井网形状因子与水平井无因次长度的关系式，并对水平井长度、油层厚度及井网面积对产能的影响进行了分析；(6)推导出了一无限水平井井排在XY 平面内势的解析解，为不同水平井整体开发井网或水平井和直井井网整体开发渗流理论的研究奠定了理论基础；(7)建立了交错式水平井与直井整体开发渗流理论，给出了拟三维条件下井网产能的精确解析解及该井网最优井网形状因子与水平井无因次长度的关系，并对产能的影响因素进行了分析；(8)建立了水平井与水平井正排列井网、交错排列井网条件下渗流理论及井网产能在拟三维条件下的精确解析解，给出了交错井网条件下最优井网形状因子与水平井无因次长度的关系，通过与正方形井网对比，说明优化井网可大幅度提高开采效果；(9)建立了分支水平井和直井面积井网水油两相非活塞驱替条件下渗流问题的解析解，给出了见水前后无因次产量与无因次时间的关系式以及见水时间等。

Sampling points were obtained by using optimal Latin hypercube design of experimental method,meantime,in order to improve computing efficiency,application of stepwise regression response surface approximate method in the MDO system of the vehicle crashworthiness and free mode of Body-In-White,the approximate model was optimized by using sequential quadratic programming method.

采用最优拉丁方试验设计方法进行样本数据设计，同时，为了提高计算效率，采用了一种新型的响应面构建方法——逐步回归响应面方法构建了整车耐撞性与白车身自由模态多学科系统的近似模型，利用序列二次规划优化方法对此近似模型进行优化，避免了整车碰撞传统优化设计方法计算量大，在碰撞非线性系统优化中常常易导致收敛缓慢甚至不收敛的缺点，在满足了CMVDR294安全法规的同时，使得白车身的扭转模态值得到提高，汽车重量得到较大程度的减轻。

An optimization design scheme is crucial for torpedo, however, there has been no any such method recognized so far. This paper presents a method for torpedo lineshape optimization design based on the iSIGHT. In this method, the optimization strategies of simulated annealing algorithm and continuous quadratic planning method are adopted, and the fluid analysis software Fluent is integrated to calculate the fluid parameters of torpedo body lineshape. The comparison of the optimization results obtained by both the presented and the traditional methods shows that the torpedo lineshape optimization method based on the iSIGHT is satisfactory and feasible.

寻找最优设计方案是鱼雷设计的重中之重，针对目前鱼雷优化设计领域还没有一套公认的优化设计方法这一现状，提出了一套基于iSIGHT的工程设计优化方法，将这款商业软件应用于鱼雷线形优化设计中，采用了模拟退火算法+连续二次规划法的优化策略，集成流体分析软件Fluent对雷体线形的流体参数进行了计算，并与传统优化方法结果相比较，结果表明，基于iSIGHT的优化设计方法在鱼雷线形优化设计中是可行的，能够得到令设计人员满意的鱼雷线形优化方案。

This paper put forward the optimized methods include reconstructing the characteristic curve by reasonable use of the adjust tools and analyse tools of the modeling software, admeasuring the automotive model surface correctly, simulating the breaking surface and creating the surface in the right turns which is good for modeling a smooth and exactitude surface.

本文通过合理利用反求软件中的造型工具和分析工具，正确划分反求模型的造型区域，使用正确的曲面造型方法，对反求曲面的特征网格线进行二次优化，并对突变曲面进行拟合再生成处理及建立合理的曲面生成顺序等方法，最终获得了仿型度和光顺度都很高的反求曲面。

The electromagnetic structure of voltage transformer,including the turns of secondary winding,the wire cross sections of primary and secondary windings,is optimized with the methods based on the finite analysis theory. The comparison between voltage transformers with and without optimization shows the magnetic field distribution is more reasonable in optimized voltage transformer,which enhances its magnetic field and reduces its size.

应用ANSYS有限元分析中的优化设计技术，对电压互感器的电磁结构(二次绕组匝数及一、二次绕组导线的截面积)进行优化，通过比较优化前后的结果，可以看出优化后电压互感器内部磁场分布更为合理，线圈中磁场的增强有助于进一步减小铁心的体积。

In order to design optimum nozzle for air-air missile solid rocket motor, the mass model of solid rocket motor, the nozzle specifice impulse model of solid rocket motor and the objective function are established. Five different type of nozzles are choosen lor calculation: Conical, parabolidal,two different arcs,quadiatic polynominal and cubic polynominal.

以两种空-空导弹固体火箭发动机喷管作为算例，为此，建立固体火箭发动机的质量模型，喷管的质量比冲模型和目标函数模型，选择五种喷管扩散段内型面：锥形喷管，抛物线喷管，双圆弧喷管，二次多项式喷管和三次多项式喷管，进行优化设计，利用优化理论，成功地完成了五个设计变量的优化问题。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。