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By introducing a smooth merit function for linear inequalities system problem, the problem was equivalently reformulated as an unconstraint optimization problem.

通过引入线性不等式组问题的一类光滑价值函数,将其求解问题等价地转化为无约束优化问题的求解

To solve the difficulties of digital integral that exist in global optimization of redundant manipulators, this paper discussed how to build up dynamic equation, the inner relation between constraints and unconstraint optimum control problems, then a digital method solving optimum control problems is deeply analyzed.

为了解决冗余度机器人全局法优化中数值求解的困难,本文讨论了动力学方程的建立、无约束和有约束最优控制问题之间的内在联系,重点分析了求解最优控制问题的数值方法。

Through the unconstraint model-conversion, an illustrative road-net is solved in a computer by using the Monte-Carlo method. The obtained traffic guidance scheme is optimal to the individual user as well as the whole system.

通过对模型无约束转化,运用Monte-Carlo法对示例路网进行了计算机求解求解结果表明产生的交通出行诱导方案能够实现系统最优下的用户最优。

In this paper, method of weighted mean of optimum order of multi-objective decision problem is popularized, and a solving method of multi-objective decision problem in Fuzzy environment under undeterminable circumstance is proposed.

本文推广了多目标决策问题的优序法,提出了状态不能确定的情况下的目标决策问题的求解方法,重点研究了系统状态是一个模糊集时求解多目标决策问题的均值优序法。

In this paper, two dimensional shallow flow—pollutants coupled model, which applies uninstructed grid finite volume method and Riemann approximate solver, is used to gain the trend of hydrodynamics and water quality change under the condition of driving force. Mechanism of nitrogen and phosphorous circle of WASP5 is considered in the water quality part of the model according to nutrition actuality of shallow lake in the cities.Xuanwu Lake is object of research in this paper.

本文针对城市浅水湖泊富营养化加剧现状,结合WASP5模型中有关氮和磷的循环机理,并将该机理写入已有的二维浅水流体水量模型中加以耦合,应用在无结构网格下的有限体积法与黎曼近似解求解的方法,求解湖泊在外驱动作用下的湖泊水动力和水质因子氮和磷的变化。

For these reasons,the following study work has been finished in this paper.(1)Basic equation of saturated-unsaturated seepage is built based on seepage continuity and motion Equations,which take saturation zone and unsaturation zone into account together and avoid difficult problems of traditional numerical solution,such as solution of free surface of seepage etc.

对此,本文主要完成了以下研究工作:(1)从渗流连续性方程和渗流运动方程出发,阐述了饱和—非饱和流统一的渗流基本方程,将饱和区和非饱和区统一来考虑就避免了求解渗流自由面等传统的数值求解的棘手问题。

A novel approach for UPO by DEESC is proposed by regenerating the population to raise the difference of the population.

接着基于提出新的UPO的求解方法DEESC,对典型非线性混沌映射的初步进行仿真,与求解UPO的PSO算法结果的比较分析表明DEESC是一种计算离散混沌动力系统的UPO的稳健有效算法。

The distribution of gear's contact stress, root stress, and contact engagement line in the engagement situation of gear pairs, were obtained on the base of explicit integration method. 3. Adopting the method of system matrix, the torsional vibration differential equation of general shafting was gained. The simple harmonic forms of excitation torque under the normal combustion or piston flameout of in-line engine and v-type engine were analysed. The decoupled algorithm of free vibration and forced vibration and the solution to the vibration damper's energy of resistance and the off-resonance calculation were studied. The sensitivity formulations of the natural frequency and vibration mode to physical parameters of system were derived by solving the eigenvalue problem. These sensitivity formulations provided the theoretical base for the dynamic modification of structure.

运用系统矩阵法建立了轴系的扭振微分方程,并对直列和V型发动机在正常发火和气缸熄火工况下的激振力矩进行了详细的简谐分析;基于精确方法推导了自由振动和强迫振动的解耦算法,给出了能量法计算中的减振器阻尼功求解和非共振计算方法;并研究了曲轴系扭振非线性分析中的变惯量问题,得到了单缸转动惯量的精确求解公式以及变惯量和固有频率的关系式;最后,从特征方程和振型正交性出发,推导了固有频率和振型对轴系转动惯量和刚度等物理参数的灵敏度,为扭振系统的结构动力学修改提供了理论基础。

The document [1] to [5] reasearch the method of constant variation for solving nonlinear differential equation.

非线性微分方程没有一般的求解方法,而常数变易法是求解一阶线性微分方程的主要方法。

Based on the variation principle, the calculation of elastic and plastic finite element can be regarded as an optimization problem.

根据变分原理,将弹性、塑性有限元的求解看成一优化问题,利用TH神经网络模型、遗传算法和退火算法等智能计算技术强大的搜索能力来进行优化求解

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Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

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