结构函数

Antiplane responses of a scalene triangular hill or structure, an isosceles triangular hill or structure, an isosceles triangular hill with a subsurface cavity to incident SH waves are studied in this paper based on methods of wave function expanding, complex function, moving coordinates and by employing idea of assistant function.

本文在"分区"和辅助函数思想的指导下，综合利用了波函数展开、复变函数、移动坐标三种方法，研究了等腰三角形凸起地形和坝体结构、非等腰三角形凸起地形和坝体结构、浅埋圆孔附近等腰三角形凸起地形等三类问题对SH波的散射。

Based on that the density distribution function of technical service life about existing structures obeys blocking tail distribution,a conditional reliability and a hazard rate function of existing structures are established in this paper.

依既有结构的技术使用寿命密度函数服从截尾分布，建立了既有结构的条件可靠度和失效率函数，从期望效益与其望经济风险的优化分析着手，提出了一种既有结构剩余技术寿命的预测方法。

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。

A direct correspondence is shown between MTS fuzzy model with the determining consequence structures and the radial basis function networks,.

该方法表明具有确定后件结构的 MTS模糊模型与径向基函数网络之间有一种直接对应关系，基于这种对应，我们可把 MTS模型的前件结构确定和后件结构辨识分开，利用径向基函数网络的学习特性和其它学习算法相结合来得到模糊模型。

This article makes use of the approximation property of Laguerre orthogonal function series to present a Laguerre function approxima te model of linear dynamic systems.The model eliminates the need for assumption of the plant order and the time delay and approaches unknown systems via estimat ing the Laguerre coefficients on-line.

蒋中摘要：利用Laguerre正交函数序列对空间函数的良好逼近特性，建立了线性动态系统的Laguerre函数近似模型，该模型不需要对象的阶次和时延等结构知识，通过在线辨识对象的 Laguerre系数矩阵，能较好地逼近结构未知系统。

The sensitivity formulations of the reliability index with respect to the parameter of structural local performance index are derived in detail.

提出了结构局部地震易损性的概念，通过构造结构局部性能指标与其参数之间的一个新的功能函数，给出了局部地震易损性的可靠度表达式；根据可靠性灵敏度的概念，提出了构造结构局部性能指标概率密度函数的新方法，并详细推导了结构可靠指标对局部性能指标参数的灵敏度表达式。

The main works include five parts:(1) A modified K-means algorithm for optimizing the RBPNNs' structures was proposed;(2) The RBPNNs' structure optimization method based on the orthogonal least square algorithm was proposed that can greatly reduce the computation expense for the structure optimization;(3) Using the GA to perform the whole structure optimization of the RBPNNs was proposed in this thesis, which include simultaneous optimization of the hidden centers and the corresponding controlling parameters of the kernel functions.

主要工作体现在如下三个方面：(1)提出一种改进的 K-Means 算法；(2)提出了基于递推正交最小二乘算法的结构优化算法来训练径向基概率神经网络，从而大大减小了用于结构优化的计算开销；(3)提出使用遗传算法来实现径向基概率神经网络的全结构优化，即隐中心矢量和核函数控制参数同时优化，通过新设计的编码方式、新构造的适应度函数，充分发挥了 GA 的全局搜索性能，使得所优化的径向基概率神经网络的结构趋于最简。

The output probability distribution of charge carrier multiplier structure from the electron multiplying charge-coupled device and its influence on image uniformity are studied. The probability model is established for the CCM structure of EMCCD. And based on the probability generating function and its properties, the probability distribution function of multiple CCM stages is deduced and its application in improving image uniformity is also discussed.

为了研究电子倍增电荷耦合器件中电荷载流子倍增结构的输出概率分布及其对图像均匀性的影响，建立了EMCCD中CCM结构的概率模型，利用概率生成函数推导了多级CCM倍增结构的输出概率密度函数，讨论了PDF在提高图像均匀性中的应用。

Fundamental concepts in power system differential-algebraic equations model, like singular point and multiple energy function sheets defined on constraint manifolds, are studied.

所得研究成果揭示了微分代数模型与奇异扰动模型的本质区别、奇异性与系统模型和系统负载的联系、结构保持能量函数法可能具有的内在保守性等，这对深入理解电力系统微分代数方程模型的拓扑结构、结构保持能量函数法和暂态电压稳定及其与功角稳定的关系具有一定的价值。

Based on Bellman stochastic nonlinear dynamic programming, we develop an optimal control algorithm for the discrete stochastic system with conditional Markov structure.

基于Bellman随机非线性动态规划法，提出了具有条件马尔科夫跳变结构的离散随机系统的最优控制方法，应用随机变结构系统的性质对最优控制算法进行了简化处理，并将后验概率密度函数用条件高斯函数来逼近，针对一类具有条件马尔科夫跳变结构的线性离散随机系统，给出了其逼近最优控制算法。

I am sure after a few weeks of adaptation and familiarization I will have no difficulty in functioning on a daily basis in an English speaking society or in participating fully in graduate studies.

在大学的三年的学习生活不仅给予我自身的充实，更重要的是磨练和培养了我较强的自觉能力和严谨，踏实的作风以及不怕困难的精神，对未来充满了信心！

As the first volcanoes erupted, one of the gases that bellowed out was steam.

在第一批火山喷发时，喷出的气体之一就是水蒸汽。