An Inexact Halley''''s Method

An inexact Halley's method—Halley-PCG(preconditioned conjugate gradient) method is proposed for solving the systems of linear equations for improved Halley method either by Cholesky factorization exactly or by preconditioned conjugate gradient method approximately. The convergence result is given and the efficiency of the method compared to the improved Halley's method is shown.     

Time series online prediction algorithm based on least squares support vector machine

Deficiencies of applying the traditional least squares support vector machine （LS-SVM） to time series online prediction were specified. According to the kernel function matrix＇s property and using the recursive calculation of block matrix, a new time series online prediction algorithm based on improved LS-SVM was proposed. The historical training results were fully utilized and the computing speed of LS-SVM was enhanced. Then, the improved algorithm was applied to timc series online prediction. Based on the operational data provided by the Northwest Power Grid of China, the method was used in the transient stability prediction of electric power system. The results show that, compared with the calculation time of the traditional LS-SVM（75 1 600 ms）, that of the proposed method in different time windows is 40-60 ms, proposed method is above 0.8. So the improved method is online prediction. and the prediction accuracy（normalized root mean squared error） of the better than the traditional LS-SVM and more suitable for time series online prediction.     

Optimum design of camber line shape in a transonic axial fan cascade with splitter

Genetic algorithms and artificial neural networks method were adopted to optimize the camber line shape of splitter cascade in a transonic axial fan. For a certain type of transonic axial fan, the isentropie efficiency was improved by 0. 6% with the modification of splitter cascade rotor. Numerical simulation studies show that the curvature of the optimum splitter cascade with larger suction side is increased, the static pressure gradient is reduced, the process of flow expansion on suction surface is controlled and the separation near hub is eliminated by changing the shock wave structure. The efficiency near hub is improved by 1.3%.     

Study on Numerical Comparison Method of Four-bar Straight-line Guidance Mechanism

In order to solve four-bar straight-line guidance mechanism synthesis problem for the arbitrarily given straight-line＇s ＂angle requirement＂ and ＂point-position requirement＂, a numerical comparison synthesis method for single and double straight-line guidance mechanism is presented, which is convenient to realize by computer program. The basic idea of this method is： to select a four-bar linkage whose relative bar length of crank is 1 as a basic four-bar linkage. Then the other three relative bars＇ length is changed, and a lot of basic four-bar linkage can be obtained. There are many single and double ball-points of each basic four-bar linkage. With the motion of a basic four-bar linkage, there is straight-line segment of each Ball-point＇ s path. The data of these basic four-bar linkages is saved to a database. When designing a four-bar straight-line guidance mechanism, the design data is compared with the data in database and a satisfactory four-bar linkage can be obtained. The method effectively solves the straight-line guidance mechanism synthesis problem.     

Numerical method for estimation of kinematical parameters for articulated rovers on loose rough terrain

Based on the study of passive articulated rover,a complete suspension kinematics model from wheel to inertial reference frame is presented,which uses D-H method of manipulator and presentation with Euler angle of pitch,roll and yaw.An improved contact model is adopted aimed at the loose and rough lunar terrain.Using this kinematics model and numerical continuous and discrete Newton’s method with iterative factor,the numerical method for estimation of kinematical parameters of articulated rovers on loose and rough terrain is constructed.To demonstrate this numerical method,an example of two torsion bar rocker-bogie lunar rover with eight wheels is presented.Simulation results show that the numerical method for estimation of kinematical parameters of articulated rovers based on improved contact model can improve the precision of kinematical estimation on loose and rough terrain and decrease errors caused by contact models established based on general hypothesis.     

Research on dynamic stability rotational speed range of rolling projectiles with different characteristics

Traditional dynamic stability analyses of the rolling projectiles are mainly based on solving the systems＇ transfer functions or angular motion＇ s homogeneous equations to obtain their charac- teristic roots. The solving processes of these methods are complex and lacking further analysis of the results. To solve this problem, Routh stability criterion is introduced to determine the stability of rolling missiles based on the transfer function model, and an important advantage of this method is that it is unnecessary to solve the system＇ s characteristic equation. Rotational speed ranges satisfy- ing the dynamic stability of rolling projectiles with four different characteristics are acquired, and the correctness of analysis results is verified by computing the system＇ s root locus. The analysis results show that the relation between stability and rotational speed for static stable missiles is opposite to that for spin-stabilized projectiles, and the relative size of gyroscopic effect and Magnus effect has an extremely important influence on the trend of the stability of the system with increasing rotational speed.     

Evaluation of ultimate bearing capacity of Y-shaped vibro-pile

Based on Mindlin stress solution, a numerical computational method was proposed to calculate the stresses in the ground induced by side friction and the resistance of Y-shaped vibro-pile. The improved Terzaghi’s and ЪерезанцевВГ’s methods for ultimate bearing capacity evaluation were proposed by considering the stress strength induced by friction resistance at pile head level of Y-pile. A new method to calculate the ultimate bearing capacity of Y-pile was also proposed based on the assumptions of soil failure mode at the tip of Y-pile and the use of Mohr-Coulomb soil yield criterion and Vesic compressive correction coefficient with the induced stresses in the ground. Based on the comparisons with the field static load test results, it is found that the improved Terzaghi’s method gives higher ultimate capacity, while the other two methods shows good agreement with the field results.     

A Network Selection Scheme Based on TOPSIS in Heterogeneous Network Environment

This paper deals with network selection problem for users in heterogeneous network environment. The main context is to improve the TOPSIS （Technique for Order Preference by Similarity to Ideal Solution） network scheme by combining the network properties and the users＇ requirement accurately and decrease ping-pong effect. The method of entropy and FAHP （ Fuzzy Analytic Hierarchy Process） are used to calculate weight value and the sojourn time calculation is used to avoid ping-pang effect. The simulation results show that the improved scheme enhances the more accuracy of network selection than the existing methods and reduces the number of ping-pang effect.     

Fatigue damage reliability analysis for Nanjing Yangtze river bridge using structural health monitoring data

To evaluate the fatigue damage reliability of critical members of the Nanjing Yangtze river bridge, according to the stress-number curve and Miner＇s rule, the corresponding expressions for calculating the structural fatigue damage reliability were derived. Fatigue damage reliability analysis of some critical members of the Nanjing Yangtze river bridge was carried out by using the strain-time histories measured by the structural health monitoring system of the bridge. The corresponding stress spectra were obtained by the real-time rain-flow counting method. Results of fatigue damage were calculated respectively by the reliability method at different reliability and compared with Miner＇s rule. The results show that the fatigue damage of critical members of the Nanjing Yangtze river bridge is very small due to its low live-load stress level.     

An Improved Method for Generating Typical Meteorological Years Used in Building Energy Simulation in China

The present study proposes an improved method for generating better typical meteorological years （TMYs） used in building energy simulation in China. Modifications are made to the commonly used Sandia method, by optimizing the weightings of indices and thus giving more emphasis to dry bulb temperature and relative humidity and less to wind velocity. After analyzing the solar heat gain on the vertical envelop, an index of diffuse radiation rather than direct normal radiation is added for solar radiation. Using the improved method proposed, TMYs for 5 representative cities of 5 major climate zones in China are generated from the meteorological data recorded during the period 1981--2010. The results show that, compared with previous studies, the monthly diffuse solar radiation of typical meteorological months generated by the improved method are the ＂closest＂ to the 30-year average, and the comparison between annual diffuse radiation for the TMY and the 30-year annual average is improved, while little adverse effect is produced on global horizontal radiation comparisons, indicating that the improved method is more suitable to generate the TMY data than previous studies.     

Sylvester方程AXB+CXD=E的共轭梯度法

对Sylvester方程AXB+CXD=E提出了一种共轭梯度算法及2种预处理算法,讨论了算法的性质。数值试验表明,共轭梯度法适合解决大规模问题,预处理方法能有效地减少迭代次数。     

图像恢复中的一种新预处理算子

在图像恢复实际模型的预条件共轭梯度法中 ,提出了一种新的预处理算子 .将新的预处理算子应用于原来的系统 ,证明了其条件数得到大大的改善 .实验结果表明 ,新的预处理算子具有很大优越性 ,比传统的预处理算子具有更快的收敛速度     

桥梁移动荷载识别及其PCGM预优矩阵选取

基于时域法(TDM)求解思路,结合桥梁移动荷载特点,采用预处理共轭梯度法(PCGM)由梁的弯矩响应、加速度响应及其响应组合来识别桥梁移动荷载,重点比较在方程组不适定以及测量响应受噪声影响情况下不同预优矩阵对识别精度的影响,从而得到可用于移动荷载识别的最优预优矩阵.仿真结果表明,在绝大多数工况下,预处理共轭梯度法均能精确识别桥梁移动荷载,但不同预优矩阵对测量噪声及识别方程的不适定性有不同的抵抗能力,且对预处理共轭梯度法的收敛速度、识别精度也存在不同影响;合理选取预优矩阵能够有效提高桥梁移动荷载识别预处理共轭梯度法的精度和效率.     

激发极化测井的三维有限差分模拟

三维柱坐标系下,使用有限差分法模拟激发极化测井,由稳定电流场构造的差分方程,其系数矩阵非对称正定,直接使用共轭梯度法求解各节点电位,计算结果不收敛,这就需要对系数矩阵进行修改。针对这一问题,本文推导出对系数矩阵作预对称的预对称子D和不完全LU分解的L矩阵和U矩阵的构造,采用预对称结合预条件共轭梯度法实现差分模拟程序。通过对比实例模型计算结果与解析式计算结果,验证了差分模拟程序的可行性、有效性。实例结果表明,预对称结合预条件共轭梯度法,不仅使得计算结果收敛,而且大大提高了差分程序的运行速度。     

区域分解并行有限元计算方法研究

按照区域分解算法“分而治之”的思想,研究了在普通PC机群上实现大规模并行有限元计算的方法.针对PC机群的特点,有限元计算数据采用分布式存储策略,方程组的求解采用并行预处理共轭梯度算法.采用C++语言及MPI消息传递接口开发了基于PC机群的并行有限元计算程序,利用6台计算机对247871个单元的有限元模型进行了并行求解,并行加速比达到5.26.验证了程序的可靠性和高效性.     

Multiple linear system techniques for 3D finite element method modeling of direct current resistivity

The strategies that minimize the overall solution time of multiple linear systems in 3D finite element method (FEM) modeling of direct current (DC) resistivity were discussed. A global stiff matrix is assembled and stored in two parts separately. One part is associated with the volume integral and the other is associated with the subsurface boundary integral. The equivalent multiple linear systems with closer right-hand sides than the original systems were constructed. A recycling Krylov subspace technique was employed to solve the multiple linear systems. The solution of the seed system was used as an initial guess for the subsequent systems. The results of two numerical experiments show that the improved algorithm reduces the iterations and CPU time by almost 50%, compared with the classical preconditioned conjugate gradient method.     

闸门结构分析的有限元并行计算

分析了平面钢闸门的工作特点,研究和建立了平面钢闸门的精细组合有限元计算模型并进行了并行计算。提出了并行求解策略;采用循环分解技术来实现单元刚度矩阵生成的并行化,采用预处理共轭梯度法并行求解系统方程组。获得了较高的并行计算效率和合理的计算结果,明显减小了结构计算时间。     

复共轭梯度法的结构

从复问题本身出发,对实值复变函数的优化问题引入了最优复搜索的概念,得到了最优复搜索的条件.给出并证明了二次优化问题的复共轭方向法与复共轭梯度法,并藉此给出了一般实值复变函数优化问题的复共轭梯度法.对复问题的直接推导与证明明晰了复共轭梯度法的数学结构.复共轭梯度法可以理解为是在实共轭梯度法中直接将实转置改为共轭转置得到的.     

基于涡粒子的真实感烟雾快速模拟

基于物理的流体模拟方法通过数值求解流体的控制方程可获得逼真的模拟结果,但求解中易产生数值耗散造成流体细节丢失.本文提出采用涡粒子模拟流体,通过求解涡度形式的流体控制方程获得涡度场,再将涡度场转换为不可压的速度场,可降低对流数值耗散,自动保证速度场散度为零,因而能够保持更丰富的流体细节.针对算法在涡度转换为速度时需求解泊松方程的性能瓶颈,基于图形处理器（GPU）设计并实现了一个高效的预条件共轭梯度法求解方程,比现有求解器加速超过10倍.实验结果表明,与现有方法相比,本文算法能够获得真实感更强的流体模拟效果,且模拟速度显著提升.