查询词典 nonlinear optimization

PSO is a population-based optimization algorithm, which mimics the social behavior of animals in a flock. It makes use of individual and group memory to update each particle position allowing global and local search optimization. The objective function considered was the total weight of the structure subjected to stresses, displacements and forces constraints. The effects of the parameters were investigated as well and such combination of tuning parameters promote a better global search behavior avoiding premature convergence while rapidly converging to the optimal solution. Results showed the effectiveness of the proposed method by comparing with ANSYS Design Optimization Tool (zero-order method). The PSO with the tuning parameters makes it an ideal method for offshore wind turbines foundations optimization tasks.(2) A reliability analysis method for pile foundation bearing axial loads based PSOThe performance function of pile foundation's axially bearing capacity sometimes is nonlinear and complex, on the basis of geometric meaning of structural reliability index, an optimum model with PSO for structural reliability analysis under arbitrary random variables was established, The PSO algorithm is very efficient to solve global optimization problemsIts use in structural reliability field presents not only the advantage of its facility of implementation, but also the possibility to obtain the design point and the failure probability with a good accuracy. In addition, PSO is a zero order algorithm, for no derivative is necessary for its implementation.

本文的研究针对桩式海上风机基础结构的特点，在国内外有关研究成果的基础上对海上风机基础结构优化设计理论和可靠度方法一些相关问题进行了较为深入的研究，具体做了以下几个方面的工作：(1)基于粒子群优化的桩式海上风机基础确定性优化设计方法桩式海上风机基础的优化设计是一个复杂的、非线性约束的优化问题，针对传统的基于梯度信息的优化方法在处理非线性问题中易陷入局部最优解的问题，本文将一种耦合惩罚函数的PSO算法引入到海上风机基础结构概念设计中，PSO算法是从群体动物聚集觅食这一活动中受到启发而发展的，该算法利用个体和群体的信息共享不断改进自身的位置从而进行局部和全局最优搜索，本文中以桩和三脚架连接段直径及壁厚为设计变量，以基础总重量作为优化的目标函数，在给定的约束条件下建立了三脚架基础优化数学模型，另外本文还研究了PSO参数变化对结果的影响，协调的参数组合可以避免陷入早熟收敛而能够快速的获得全局的最优解，通过与ANSYS优化模块的计算结果比较验证了该方法的有效性，本方法为海上风机基础的确定性设计提供了一条有效的途径。

At first this thesis researches the multi-layer tactic of the recurrent optimization of the nonlinear predictive control which converts the optimization with nonlinear dynamic restriction into the optimization with linear dynamic restriction and the repetitive coordination.

在这里引入了大系统理论中的分级递阶思想，将一个一揽子求解的带有动态非线性约束的优化问题转化为由线性约束的优化和迭代协调两个层次组成的分级递阶问题。

In view of the problem of parametric optimization in a nonlinear control system,this paper presents a new simulating method of optimization to be combined with the theory of a nonlinear control system,optimization theory and genetic algorithm.

摘 要］本文针对非线性控制系统参数优化问题，结合非线性控制系统理论、最优化理论及遗传算法，提出了一种新的仿真优化方法。

A problem of cable force optimization of cable-stayed bridge is equated as a nonlinear implicit optimization model. In the mathematical model, the object function is minimizing summation of bending strain energy and axial strain energy, and the constrain conditions are nonlinear and related to reasonable finished dead state. The optimization model is solved by projection gradient method, fully considering all kinds geometric nonlinearity.

把超千米级斜拉桥的索力优化问题归结为非线性隐式优化的数学模型，以系统最小弯压应变能为目标，根据合理成桥状态指定各种非线性约束条件，利用投影梯度法进行优化问题的求解，求解过程中充分考虑了各种几何非线性的影响。

With the idea of smoothing Newton method, we propose a new class of smoothing Newton methods for the nonlinear complementarity problem based on a class of special functions. In this paper, complementarity problem is converted into a series of smoothing nonlinear equations and a modified smoothing Newton algorithm is used to solve the equations. We use Newton direction and Gradient direction together in the algorithm which guarantees that our method is globally convergent. Also using another smoothing function, we reformulate the generalized nonlinear complementarity problems defined on a polyhedral cone as a system of smoothing equations and a smooth unconstrained optimization problem. Theoretical results that relate the stationary points of the merit function to the solution of the generalized nonlinear complementarity problems are presented, we use the modified smoothing Newton algorithm in generalized nonlinear complementarity problems, under mild hypothesis, a global convergence is proved.

本文一方面基于现有的各种光滑Newton法的思想和半光滑理论，利用著名的F-B互补函数的光滑形式，首先将互补问题的求解转化为求解一系列光滑的非线性方程组，然后给出了一种修正的光滑Newton法，该方法不仅放宽对函数F的要求，在Newton方程不可解时引入初始效益函数的最速下降方向，而且光滑因子的选择也比较简单可行，同时在适当的条件下，证明了其算法具有全局收敛性；另一方面，借助另一种F-B光滑函数，将多面体锥上的广义互补问题转化为一种光滑形式，讨论了优化问题的稳定点与广义非线性互补问题的解之间的理论关系，并将这种修正的光滑Newton法用于求解广义非线性互补问题中，在适当的条件下，该算法同样具有全局收敛性。

Especially,effective methods for solving VIP are a very active research field,because it has notonly widely applications in nonlinear optimization,but also plays an important role indifferential equation,mechanics,control theory,game theory,engineering,economics,operations research,etc.

它不仅在非线性最优化方面具有相当广泛的应用，而且在微分方程、力学、控制论、对策论、工程学、经济学和运筹学等许多方面都有着重要的作用。

Furthermore, these results have passed largely unknown and unreferenced in the nonlinear optimization literature.

而且，这些结果都没在非线性优化文献中得到重视和引用。

By using the quadratic regression orthogonal experimental method with three factors and five levels, the relationships between the microwave power applied, the sample thickness, the pressure in drying chamber and the rehydration ratios, chlorophyll and vitamin C retention ratios of dried Chinese gooseberry slices, as well as the energy consumption of drying process, were analyzed, and the regression mathematical models for experimental indices and factors were established. At last, the optimal combination of the parameters for the microwave-vacuum drying technology of Chinese gooseberry slices was obtained through nonlinear optimization method with many targets.

通过3因素5水平的二次回归正交试验，分析了微波功率、物料厚度、干燥室压力与猕猴桃切片干制品复水率、叶绿素含量、维生素C含量及单位耗电量的关系，建立了各指标与试验因素间的回归数学模型，并利用多目标非线性优化方法，确定了猕猴桃切片微波真空干燥最优工艺参数。

So the design method given in this paper avoids the blindness of the design of the antenna, decreases the waste of the antenna fabricates repeatedly. On the other hand, this method takes advantages of the geometrical theory and the nonlinear optimization, so it can be used in a wide region. This leads us a new road to design conformal array in the complex electromagnetic environment.

因此，应用本论文的设计方法，避免了天线设计的盲目性，减少了重复加工的浪费，同时由于整套设计方法利用了几何绕射理论和非线性规化的数学手段，因而具有广泛的通用性，为复杂电磁环境下共形阵的设计走出了一条新路。

Based on the inverse kinematics, forward kinematics of six-bar parallel mechanism in beamline is obtained by trust region method for nonlinear optimization. The corresponding program with MATLAB language is also designed.

以六杆并联机构的逆运动学为基础，采用信赖域法对非线性超越方程组进行优化，编制相应的MATLAB程序，求解机构的正运动学，得到了动平台中心的运动轨迹和基本规律。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。