求解过程

Through a large number of examples in this book describes the basic use of ANSYS 8.1 software methods, including modeling, meshing, applied loads, solving and post-processing, etc.; then introduced using ANSYS finite element analysis process commonly used in high-level analytical methods, such as the non-linear static analysis, modal analysis, transient dynamic analysis, thermodynamic analysis, optimization design, etc.; In addition, the book pairs of ANSYS parametric programming language APDL made an initial set to try to make the reader of this strong preliminary understanding of language.

本书通过大量的实例介绍了ANSYS 8.1软件的基本使用方法，包括建模、网格划分、施加荷载、求解及后处理等；进而介绍了用ANSYS进行有限元分析过程中常用的高级分析方法，如非线性静力分析、模态分析、瞬态动力分析、热力学分析、优化设计等；另外，本书还对ANSYS参数化编程语言APDL作了初步阐述，力图使读者对这种强大的语言有初步的认识。

Available water resources and per capita GDP minimum permissible value of sewage discharge may be regarded as interval value. On this basis, fuzzy constraint liner programming model is established and the method for calculating the model is posed.

把区域水资源可利用量以及人均GDP最小允许污水排放量视为"区间"值，建立了模糊约束线性规划模型，并给出其求解的基本过程。

The lack of measurement in the liquid phase prevents the moving boundary to be recovered by straightforward use of the direct Stefan solution.

由于在实际过程中无法在液体边测量其温度和热流，因此，该类问题无法通过直接Stefan问题求解来得到动态边界的实时估计。

The measurement principle of the system is presented. The calibration method of CCD camera and calibration process of the projector are discussed. An idea to solve the spatial coordinates with phase matching is proposed.

文章给出系统的测量原理，详细讨论了CCD摄像机的标定方法和投影仪的标定过程，提出利用相位匹配方法求解空间坐标的概念。

First,the main procedures and the distinctive features of the most-obtuse-anglerow or column pivot rules are introduced for achieving primal or dual feasibility in linear programming.

首先回顾了采用最钝角行、列主元规则求解线性规画问题的原始、对偶可行解的主要过程，阐述了其与众不同的特性。

This idea comes from the appearance of the curse of dimension in computational process, for example, in Markov decision processes, its not practical for improving policy computation using the general policy iteration or value iteration method.

当系统的计算出现维数灾难时，比如在Markov决策过程的求解问题中，如果系统的动作空间非常之大，那么利用一般的策略递归算法或值递归算法，来进行策略的改进计算是不实际的。

On the knowledge of vibration of polyatomic molecules, it has gonethrough the change of two stages: from normal mode model to local modemodel. In present, there mainly are two methods to deal with this problem:the traditional approach, namely ab initio, based on solving Schr〓dinger equa-tions of molecular vibration, and the algrbraic approach based on group theory.

在对多原子分子振动问题的认识方面，人们经历了从简正模模型到局域模模型转变的过程，而在处理方法上目前主要有两种：基于求解薛定谔方程的从头计算法和基于群论方法的代数方法。

Those new methods are based on Jacobsons theory and its characteristic structure which make the problem equivalent to a 2 x 2 matrix polynomial equation with diagonalizable solutions.

1新方法及其比较主要介绍了求解四元数多项式方程的两种传统方法和两种新的方法，并在分析过程中进行了对比。

In the heredity community renewal process, the paper uses one kind of new crossover operator——Improvement Order Crossover, the better solution two difficult problems both has been able to maintain the fine characteristic of father generation, does not destroy the sub-way which produces already in the most superior routing, and can guarantee when participation in the crossover two individual body is same, causes the genetic algorithms not to be able precociously to restrain in the partial optimal solution.

在应用遗传算法求解时，提出采用惩罚策略处理目标函数中对车辆容量的限制和客户对不同时间窗的需求约束，从而使目标解所对应的染色体能够根据违反约束的程度，具有不同大小的适应度；在遗传群体更新过程中，本文采用一种新型的交叉算子——改进的顺序交叉，更好的解决了既不破坏父代染色体中已产生的最优子路径，还能保证当参与交叉的两个个体相同时，遗传算法不会早熟收敛于局部最优解的两个难题。

In order to predigest the computation,the expanded transfer matrices have been used in the multi-rotor system .

讨论了多回转轴系统自由振动和强迫振动的建模过程和求解方法。

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。