结构函数

Under the service rule that customers who first come would first get the service, we use the structure analysis method to get the stochastic decomposition of the queue length with the generating function of probability and the steady waiting time with Laplace-stieitjes transforms.

重点分析了带启动期的一般减量服务的单重休假$M/G/1$排队系统的一般结构，利用结构分析的方法，在先来先服务规则下求得稳态队长的随机分解的概率母函数和稳态等待时间的随机分解的$LST$，同时，讨论了系统处于平衡的条件及其概率含义的直观解释，进一步讨论了系统处于休假期、忙期、忙循环等状态时的各项性能指标及系统状态分布。

In order to efficiently handle multi-constraints, a vector function inner product is defined in the zero level set and a gradient projection method is constructed, and the necessary condition satisfied by the optimal solution is proved.

在这些研究的基础上，提出了适用于一般目标函数、多材料、多约束和多载荷工况的结构拓扑优化的水平集算法4.1，并给出了刚性结构、柔性机构和复合材料微结构设计算法5.1、6.1和7.1，以及大量的数值算例。

This dissertation involves the study of the growth dynamics of colloidal particles under unequilibrium and irreversibility condition. Firstly, it is of interest to investigate whether the ideal diffusion or reaction-limited aggregation universal behavior can be observed for the initially polydisperse practical system of basic yttrium carbonate as well. The fractal structure of basic yttrium carbonate aggregate cluster was observed using transmission eletron microscopy. The aggregation kinetics of basic yttrium carbonate colloids was studed using dynamic 1ight-scattering techniques. At 1.00mol/l NaCl solution the fast diffusion-limited aggregation behavior was observed with an increase in the aggregate size over time described by a power law. The aggregates are characterized by a fractal dimension D=1.82. The disordered and ramified cluster is consisted of primary colloidal particles and tenuous and more open. These are in good agreement with those observed for other colloidal system such as colloidal gold (1.86), silica (1.85) and polystyrene latex (1.82) in diffusion-limited aggregation from the static and dynamic light scattering by Lin. Therefore ideal diffusion-limited aggregation behavior can be observed in practical polydisperse system as well. Smoluchwski and fractal theories were used to obtain the aggregation rate constant for initially polydisperse system for the first time.

本论文研究胶粒的非平衡不可逆聚集动态学，分为两个部分，第一部分是通过实验研究一个新的初始多分散的碱式碳酸钇胶粒实际体系中，聚集标度性质的普适性，即使用透射电子显微技术观测聚集粒子簇的分形结构，使用动态激光光散射研究碱式碳酸钇胶粒的聚集动力学，胶粒带电而产生静电排斥作用使得碱式碳酸钇胶粒处于稳定状态，当加入电解质NaCl溶液时，碱式碳酸钇胶粒间的Debye-Hückel屏蔽距离缩短，从而降低静电排斥能垒，引起胶粒发生不可逆聚集，加入电解质NaCl的浓度为1.00mol/l时，碱式碳酸钇胶粒进行快速聚集，经历扩散控制聚集机理，形成结构疏松、更为开放的分形聚集粒子簇，其分形维数为1.82，碱式碳酸钇胶粒聚集增长动力学遵循幂函数增长规律，与Lin等使用静态激光光散射和动态激光光散射测量硅胶(1.85)、金胶(1.86)和聚苯乙烯胶乳(1.82)在扩散控制聚集状态形成聚集粒子簇的分形维数值以及粒子簇聚集增长的动力学规律相一致，表明胶粒聚集标度性质的普适性质在初始多分散的实际体系中也是存在的，首次由动态激光光散射的实验数据得到初始多分散胶粒分形粒子簇的聚集速率常数，并且其值与Smoluchowski聚集速率理论预期相符。

In this method the transfer functions, which are the response of the temperature and thermal stress in the key parts of the special structures caused by the unit temperature load with the special loading model, are computed firstly using the detailed finite element analysis. Then both the thermal and stress responses and their sensitivities to any complex change of temperature can be obtained by the simple cirro-product integral.

该方法的基本思想是：基于一定的结构和热载荷模式，将事先通过详细有限元分析求出的单位突加热边界条件变化引起的结构控制区的温度和热应力响应作为传递函数，然后进行简单的卷积积分运算，就可以得到任意热载荷幅值变化历史所对应的温度和热应力，进而也可快速进行灵敏度分析。

First, based on analyzing the function model of the NC machine tool sharing system, a 4-layer architecture for net is proposed and constructed; Second, the function-oriented model of information flow for multi-agent, which is employed to implement the interactions between the 4-layer architecture, is constructed; Third, the station function for agent is defined, based on which the negotiation mechanism is built.

首先，在分析功能模型的基础上，提出并实现了资源共享的四层网络拓扑结构；其次，构造了面向设备资源共享功能的智能体信息流模型，以实现四层结构之间的交互；其三，定义了智能状态函数，并以此为依据，建立了智能体协商机制。

When the Hamiltonian system is introduced into the research of dynamic buckling in cylindrical shells, the problem uses dual variables in Symplectic space instead of variables in traditional Euclidean space. The symplectic eigenfunction expansion method gives out an exact solution space. So many problems are solved, which can not find the solution in traditional methods.

将哈密顿体系引入结构的动态屈曲研究中，其意义在于将结构的动态屈曲研究从传统的欧几里得几何空间进入到由原变量和对偶变量组成的辛几何空间之中，从而使辛本征函数展开的直接解析法得以实施，这样就可以求解许多以往半逆凑合法无法求解的问题，并且所得到的解空间是完备的。

With the continuous method, the displacement shape functions are constructed with the self-contained trigonometric function series, and then the formulae of normal stress and shear stress in the shear walls of the core tube subjected to a torque are brought forward.

根据结构连续化分析方法，采用完备的三角函数系形式表示正六边形核筒悬挂建筑结构中筒体在扭矩作用下的位移函数，并推导出核筒中的剪力墙的正应力和剪应力公式。

The global convergence of the algorithm is proven Simulation results show the algorithm is feasible 3 A robust adaptive control method is proposed for the robots with constructed and unconstructed uncertainty The feedback gain of the controller is updated according to the estimated value of a function of uncertainty bounds The resultant control torque is smooth signal so that the chattering problem is avoided.

三、对具有结构型和非结构型不确定性的机器人提出了一种鲁棒自适应控制方法，其特点是根据不确定性界的函数的估计值直接修正反馈增益，所导出的控制力矩始终是光滑的，既能满足指出的跟踪精度，又不存在抖动问题。

Based on the dynamic characteristic of an original model, the transform analysis of undamped system equation is performed with the frequency characteristic functions at designated modification freedoms, and the general expressions of local mass and stiffness parameters are derived.

该方法根据原结构模型的动态特性，利用与调整点自由度相关的频率特性函数，通过对无阻尼自由振动方程的推导，给出结构局部质量或刚度调整的通解。

Atomistic structure of the polymer membrane is generated by mapping atoms to the concentration profile of each component in the meso-scale structure through Hybrid Monte Carlo technique.

通过聚合物膜的微观结构和径向分布函数分析了溶剂在体系中的存在形式，以及溶剂对膜的微观结构的影响。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷