计算结构分析的学科发展与成果展顾

根据土木工程应用型人才培养目标和学科内容的交叉性特点 ,进一步改革并优化确立了学科体系 ,并在结构分析基本过程的数学建模、动力学基本方程的推导以及工程应用性等方面都作了较大程度的改进     

空调动态负荷计算用“标准年”气象资料的构成

本文在收集大量气象资料的基础上,通过对常见的几种插值方法的比较,选用既合理又简单的拉格朗日插值法构成了长春市“标准年”气象资科。     

采用解耦技术求解交直流最优潮流问题

交直流系统之间的耦合程度受控制变量选择的影响。适当地选取直流系统控制变量以及妥善处理换流器转换方程,不仅可以使直流网络方程与交流网络方程解耦,而且可以使拉格朗日乘子也相应地解耦。通过解耦,交直流最优潮流的计算时间与纯交流系统最优潮流的计算时间相差甚微。     

对H-W原理和H-R原理的重新论证

分析了弹性体的本关系和能量密度的本性质,在弹性力学最小势能/余能原理的基础上,用Lagrange乘子法重新论证了Hu-Washizu原理/Hellinger-Reissner原理。结果表明:H-W原理要么是乘子待定的三类变量原理,要么是乘子被消的二类变量原理;H-R原理是乘子待定或者乘子被消的二类变量原理。     

Canonical form and mathematical interpretation of electrolyte solution systems

We describe a canonical form of electrolyte solution systems for the mathematical interpretation of solidliquid equilibrium. The canonical form is obtained from the analysis of the algebraic structure of electrolyte solution systems and the Karush-Kuhn-Tucker (KKT) conditions for the minimization of the total Gibbs free energy. As a result, the mathematical role of solid species in the solid-liquid equilibrium problem is explained as a Lagrange multiplier of a sort of the linearly constrained optimization problem. This finding will add to the development of an efficient numerical algorithm for the simulation of electrolyte solution systems. This paper is dedicated to Professor Hyun-Ku Rhee on the occasion of his retirement from Seoul National University.     

FaSa: A fast and stable quadratic placement algorithm

Placement is a critical step in VLSI design because it dominates overall speed and quality of design flow.In this paper,a new fast and stable placement algorithm called FaSa is proposed.It uses quadratic programming model and Lagrange multiplier method to solve placement problems.And an incremental LU factorization method is used to solve equations for speeding up.The experimental results show that FaSa is very stable,much faster than previous algorithms and its total wire length is comparable with other algorithms.     

Lagrange支持向量机算法应用研究

将SVM(support vector machine)分类的思想方法应用于个人信用评估.通过比较分析银行个人信用特征数据,设计了新的通用的银行个人信用特征数据.基于LSVM(Lagrange support vector machine)分类算法分析,将LSVM算法应用于个人信用评估,并与KNN(K-nearest neighbor)分类方法、OSU SVM3.0工具分类方法比较,实验结果表明:LSVM具有较好的分类预测能力,为个人信用评估提供了一个新的有效方法.     

Cost-efficient parallel programs based on set-distributions for polynomial interpolation

The paper presents parallel algorithms for Lagrange and Hermite interpolation methods formally derived from specifications, and using set-distributions. Set-distributions are based on set-valued mappings, and they assign a data object to more than one process. The derivation from specifications assures the correctness, and the set-distributions assure the efficiency of the programs. The obtained parallel algorithms have very good time complexities and speeds-up, and they are also cost-efficient. We consider the number of processes p to be a parameter of the algorithms, so, bounded parallelism is considered. The derivation of the algorithms is not ruled by any particular interconnection network. The possible mappings on different networks could be evaluated. The performance analysis is done considering a full-connected network, and other two interconnection networks: hypercube and multi-mesh hypercube, which preserve the cost-efficiency of the algorithms.     

基于线性Lagrange插值法的变电站IED采样值接口方法

随着电子式互感器技术的发展和IEC 61850标准的推广，变电站间隔层智能设备的交流采样技术将由传统的对模拟信号A/D转换技术变革为以太网通信技术。为了不改变传统保护、测控装置算法，分析了采用线性Lagrange插值原理对合并单元输入的采样值进行数据抽取的方法，进行了误差分析，并分析了谐波信号对插值算法的影响。最后简要介绍了该方法在新型数字化变电站测控装置中的应用，经测试，精度满足要求。     

基于Lagrange乘子法神经网络求解弹塑性力学有限元问题

根据人工神经网络的基本优化机理，研究了基于Lagrange乘子法神经网络求解弹塑性力学有限元问题．该神经网络对弹塑性力学有限元问题模型的不等式约束直接进行处理，无需添加松弛变量，降低了网络模拟和硬件实现的复杂程度．还分析了该神经网络的收敛性和稳定性．最后对一个简单弹塑性问题进行了数值仿真，计算结果表明了该神经网络求解弹塑性力学有限元问题的可行性．