收敛

Based upon the proposed approach the free vibration analysis of Euler beam with various typical boundary conditions is performed and the error and convergence behavior of the fundamental and second frequencies are studied in details.

针对常见的几种典型边界条件的Euler梁自由振动问题，详细分析了前两阶频率的误差和收敛性。

The derived analytical expressions indicate that regardless of the input signal correlation matrix, the convergence behavior of the proposed algorithm, in all cases, is only governed by the normalized step size.

推导出的解析式表明，算法的收敛性能与输入信号的自相关矩阵无关，完全由归一化的步长参数控制。

The temperature、heat flux and solidified shell thickness were calculated in two different slab. The influence of casting speed to heat transfer was also analysised, and the calculation method of inverse problem model was studied. The convergence behavior of model was discussed under different methods and parameters.

对实际生产中两个不同的铸坯模型的结晶器温度、热流和铸坯凝固状况进行计算，分析了拉坯速度对结晶器传热的影响，并对反问题模型的计算方法进行研究，讨论了不同反算方法及参数下的模型收敛行为。

During the calculation you can monitor the convergence behavior of your goals, view the current results in the specified plane and displays the minimum and maximum parameter values at the current iteration (Min/Max table).

在计算期间你能监控你的目标的收敛性行为，在指定的平面中察看当前的结果并且显示当前的反复(Min/Max table)的最小和最大限度参数值。

To verify the new approach, an open-ended empty rectangular cavity and cavity loaded with a metal cuboid are analyzed. The numerical results are in agreement with the published data and those obtained by FDTD. Good convergence behavior is observed.

为了验证理论模型的正确性，该文对某一矩形空腔及底部加载金属台阶的腔体进行了分析，计算结果与文献数据以及用时域有限差分法所得结果一致，并具有很好的收敛效果。

In the bit-interleaved coded modulation systems with iterative decoding, a good labeling is one of the key factors that dictate the system performance. In this thesis, Extrinsic Information Transfer chart, a popular tool to analyze the convergence behavior of an iterative decoding system, is employed for the labeling design.

外来资讯转换图是一个在迭代解码系统中很好的分析解码收敛行为的工具，在位元交错调变码的解码系统中，位元对应的设计对於提升系统效能是非常重要的，藉由不同的平均位元差异数来改变讯号侦测器转换曲线的斜率，因而从中选出一个最适合外部码的位元对应方式。

All these elements demonstrate favorable convergence behavior over the existing counterparts, free from spurious kinematic modes and do not exhibit locking phenomenon in thin plate/shell limit.

所有这些单元都显示了良好的收敛性；不含有多余机动模式；当趋于薄板/壳极限时，不存在"自锁"现象。

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。

It is more important that the object function decreases monotonously in the constraint domain and the convergence ratio is exponential.

尤其重要的是在约束区域内网络使目标函数单调减少，收敛速度呈指数级。

The former need establish an asymptotic sequence, research domain, convergence and limit of the sequence.

Picard逼近法的要点是建立一个逼近序列，然后考察这个序列取值范围、一致收敛性和极限的存在唯一性。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐