关于具二次约束最小二乘问题的敏度分析

本文系统地研究具二次约束最小二乘问题的敏度分析。首先给出长期方程唯一正根的上界和下界；然后证明割线法用于计算拉格朗日乘子时全局收敛；最后给出解的扰动界。     

Optimization Mathematical Model of Pile Forces for Offshore Piled Breasting Dolphins

An optimization mathematical model of the pile forces for piled breasting dolphins in the open sea under various loading conditions is presented. The optimum layout with the well distributed pile forces and the least number of piles is achieved by the multiplier penalty function method. Several engineering cases have been calculated and compared with the result of the conventional design method. It is shown that the number of piles can be reduced at least by 10%—20% and the piles‘ bearing state is improved greatly.     

基于Multisim X的计算机辅助电子电路设计

学好<电子线路>这门课程,不仪需要有扎实的电路分析和信号与系统等专业基础知识,还需要在学习过程中加入单元或系统电路的实验环节,这样才能完成整个电路的设计.介绍如何在电路的理论没计基础之上,以Multisim X这一仿真软件为实验平台,仿照硬件环境来完成电路的最终设计的.     

基于CPLD的高精度门控电路的设计

距离门控制电路是卫星激光测距(SLR)系统的一个重要组成部分,高精度距离门控制可有效提高卫星测距探测成功概率。介绍了一种基于CPLD(复杂可编程逻辑器件)的高精度门控电路的设计。在该设计中,采用硬件描述语言VHDL对CPLD进行编程,使其与单片机、PC机协调工作,从而实现高精度的距离门控制电路。     

水力劈裂对岩体中自然裂纹的影响研究

建立了求解自然裂纹和水力裂纹扩展的扩展有限元法,对裂纹附近区域的节点采用广义形函数,并采用线增函数消除混合单元,以提高裂纹附近的精度。引入水力劈裂的非耦合模型,即假设裂纹中的水压力为均布力;用砂浆法（线段-线段接触法）结合增广型拉格朗日乘子法处理受压裂纹段的接触条件。并通过算例分析了以下内容：计算了受压裂纹和裂纹面分布均布水压力的水力裂纹的应力强度因子,并与解析解进行了比较,结果表明,提出的方法具有很高的精度;模拟了水力裂纹对自然裂纹面的影响,并分析了自然裂纹面上的接触力和接触状态。     

基于扩展Lagrange乘子的Clough接触面模型及应用

双曲线接触面本构模型能比较真实地模拟堆石材料与混凝土面板间的接触关系,扩展Lagrange乘子法能比较精确地计算接触面间接触状态。在吸取Clough双曲线接触面本构关系应用于无厚度的Goodman单元和有厚度的Desai薄层单元的成功经验的基础上,将Clough双曲线接触面模型引入扩展Lagrange乘子法进行摩擦接触问题的求解。介绍了基于扩展Lagrange乘子法的序列二次规划法（SQP）提法,详细推导了在扩展Lagrange算法的非线性接触计算中引入Clough双曲线接触面本构关系的数值列式和实施步骤。数值算例和工程实例的计算结果证明该方法是成功的,能够比较真实地模拟堆石-混凝土墙（混凝土面板）之间的接触状态。     

中国的地区企业进入与退出关联研究

企业的进入退出存在显著的前后关联,关联机制可以分解为竞争效应与乘数效应。本文探讨了1998-2013年间中国制造业企业的空间格局演化过程,发现地级市尺度的企业动态存在明显的时空关联。16年间,企业动态空间格局发生了剧烈演变,逐渐表现出同类型地区集聚现象。利用差分GMM的动态面板模型验证了企业动态在时间上的前后依赖关系。前期的进入与退出对本期企业动态有不同的影响,竞争效应决定企业的进入,乘数效应决定企业的退出。前期企业动态对后期进入的影响会立即显现出来并随时间衰减,而对退出的影响则存在明显滞后效应,在两年之后达到峰值。同时,产业动态关联机制存在显著的空间差异,其中东部地区显示出更强的竞争效应。不同发展水平的地区应采取差别化的政策来指导地区的产业发展,实现产业更新、结构升级和区域经济的可持续发展。东部地区应建立企业准入门槛,降低低效企业退出壁垒;西部地区应该积极吸引新企业进入,并保护在位企业,防止企业退出导致的连锁性萧条。     

Fully Coupled Fluid-Structure Interaction Model Based on Distributed Lagrange Multiplier/Fictitious Domain Method

This paper,with a finite element method,studies the interaction of a coupled incompressible fluid-rigid structure system with a free surface subjected to external wave excitations.With this fully coupled model,the rigid structure is taken as "fictitious" fluid with zero strain rate.Both fluid and structure are described by velocity and pressure.The whole domain,including fluid region and structure region,is modeled by the incompressible Navier-Stokes equations which are discretized with fixed Eulerian mesh.However,to keep the structure's rigid body shape and behavior,a rigid body constraint is enforced on the "fictitious" fluid domain by use of the Distributed Lagrange Multiplier/Fictitious Domain(DLM/FD) method which is originally introduced to solve particulate flow problems by Glowinski et al.For the verification of the model presented herein,a 2D numerical wave tank is established to simulate small amplitude wave propagations,and then numerical results are compared with analytical solutions.Finally,a 2D example of fluid-structure interaction under wave dynamic forces provides convincing evidences for the method excellent solution quality and fidelity.     

北京大都市土地开发的乘数效应和增长模式研究

本依据1992－2000年北京地区2000多个土地开发项目统计资料，通过实证对城市土地空间开发的理论模式进行研究。结果表明，城市特定区域的土地开发，表现为乘数效应作用下的逻辑斯蒂增长。根据模型对各环线和扇面模拟的相关系数高达0．95以上。在此基础上，结合北京举办奥运会带来的巨大投资规模，预测北京大市土地开发的趋势。     

Event and model dependent rainfall adjustments to improve discharge predictions

Most conceptual rainfall–runoff models use as input spatially averaged rainfall fields which are typically associated with significant errors that affect the model outcome. In this study, it was hypothesised that a simple spatially and temporally averaged event-dependent rainfall multiplier can account for errors in the rainfall input. The potentials and limitations of this lumped multiplier approach were explored by evaluating the effects of multipliers on the accuracy and precision of the predictive distributions. Parameter sets found to be behavioural across a range of different flood events were assumed to be a good representation of the catchment dynamics and were used to identify rainfall multipliers for each of the individual events. An effect of the parameter sets on identified multipliers was found; however, it was small compared to the differences between events. Accounting for event-dependent multipliers improved the reliability of the predictions. At the cost of a small decrease in precision, the distribution of identified multipliers for past events can be used to account for possible rainfall errors when predicting future events. By using behavioural parameter sets to identify rainfall multipliers, the method offers a simple and computationally efficient way to address rainfall errors in hydrological modelling.