约束优化

The finite element model was established according as the material and structure of tool, load was used as three way cutting force of blade, tool petiole as fixed bracket, then, distortion and stress distributing of tool haulm was computed.

其刀具刚度有限元模型根据刀杆的材料和结构建立，载荷为刃口的三向切削力，刀具柄部约束为固支，通过求解刀杆的变形及应力分布，优化设计出满足加工要求的高刚性刀具。

The structures, modeled with the smallest volume of magnet and the shortest pole length, were simulated and optimized by combining the multi-objective hybrid genetic algorithm of the software package Matlab and the numerical calculation with the software package Ansys.

利用带有约束条件的多目标混合遗传算法，通过Matlab编程与Ansys软件的交互运算，实现了对密封结构的优化设计。

And then fuzzy least square support vector machines are proposed based on support vector domain description. Data samples in the feature space are described and the smallest enclosing hypersphere is obtained. The fuzzy membership value to each sample point is determined according to the distance of each sample from the center of the hypersphere, which can reduce the effect of outliers.

该方法先对样本进行数据域描述得到一个包含该组数据的最小半径的超球，再根据特征空间中样本与超球球心的距离确定它们的隶属度，减少了奇异点的影响；把所要求解的约束凸二次优化问题转化为正定线性方程组，并采用快速Cholesky分解的方法求解该方程组。

Optimum design for double-horse head beam pumping unit is a question of non-linear programming with inequality constraint condition and multi-objective function.

双驴头抽油机优化设计是一个具有不等式约束多目标函数的非线性规划问题。

We give a two-parameter penalty function and its exact penalty theorem for inequation constrain- ed optimization,meanwhile,We propose a quasi Newton algorithmfor solving the unconstrained nonlinear penalty problem and study its convergence,Numerical examples illustrate the feasibility of the algorithm.

对于含约束不等式的优化问题，构造双参数精确罚函数并给出精确罚定理，提出了一个求解这种罚函数问题的布鲁丹族拟牛顿算法，研究了算法的收敛性与收敛速度，并进行了数值试验，证明了可行性。

According to the need of programming in satisfying control, a new method of optimization by using conditions of inner point and active set of constraints was proposed.

根据满意控制中实时规划的要求，利用内点和积极约束集条件，提出了一种新的优化算法。

The problem of finite precision multiuser decorrelator is formulated as linear bounded integer optimization problem,and the problem is shown to be NP-hard problem.

该文首先分析了应用有限精度序列为解相关矩阵序列的解相关接收机，将有限精度解相关的多用户检测问题归约为线性约束整数优化问题，同时证明此问题为NP-hard问题。

In this paper, the stationary and non-stationary random wind-induced response, dynamic reliability and optimization under the dynamic reliability constraint of structures with foundation rotation and tall building with TMD or TLD is studied systematically. Three achievements are gained. 1. According to the situation that Davenport wind spectrum is irrational fraction, the equivalent wind spectrum is generated by linear filtered process.

本文对基础转动结构、带TMD或TLD结构的高层建筑和高耸结构的平稳与非平稳随机风振响应、动力可靠性分析以及基于动力可靠性约束的优化设计方法进行了系统的研究，取得了以下成果：1、针对Davenport脉动风谱为非有理分式风谱，通过线性滤波过程和三参数拟合，生成了与Davenport风谱等效的脉动风谱。

In mechanics kinematics, Jacobin matrix may be calculated and simplified by vector constructing; Inverse solution and its restricting condition be given; Forward solution be solved by new-raphson method. The method need shorter time than optimization and has a lot of advantages in applying program; some relationship of velocity, acceleration, force and error of mapping from input to output have been given. Analyzing of theory base these researches.

在机构运动学研究方面，通过矢量构造的方式计算出了速度雅克比矩阵，简化了计算量；给出了机构位置逆解的计算过程及约束条件；利用Newton—Raphson法计算出了机构位置的正解，该算法比优化法计算时间短，而且利于实际编程；给出了机构输入、输出端速度、力、误差的映射关系，这些研究是机构理论分析的基础。

First of all, the structural analysis under the action of random loads is carried out and the mean value and variance of all joint's displacement and bar's stress in the structure are obtained by means of three fundamental equations (equilibrium, physical and geometric) in structural mechanics, as well as the property of moment of random variable.

通过引入可靠性安全系数，并利用结构力学的三个基本方程，将结构的位移和杆件应力可靠性约束等价显示化为设计变量的线性函数，使原基于可靠性的优化模型转化为常规的序列线性规划问题，利用修正的单纯形法求解。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。