Analytic solution for Reissner plate bending based on new symplectic approach

This paper presents the analytic solution for Reissner plate bending derived by the symplectic geometry approach.Firstly,the basic equations for Reissner plate are transferred into Hamilton canonical equations.And then the whole state variables are separated.Finally,the solution is obtained according to the method of eigenfunction expansion in the symplectic geometry.Only the basic elasticity equations of Reissner plate are used in the present study and the pre-selection of the deformation function is abandoned,which is requisite in classical solution methods.Therefore,the utilized approach is completely reasonable and theoretical.To verify the accuracy and validity of the formulations derived,the numerical results are presented to compare with those available in the open literatures.     

基于FSG的最大频繁子图挖掘算法*

图挖掘已成为数据挖掘领域研究的热点,然而挖掘全部频繁子图很困难且得到的频繁子图过多,影响结果的理解和应用。可通过挖掘最大频繁子图来解决挖掘结果数量巨大的问题,最大频繁子图挖掘得到的结果数量很少且不丢失信息,节省了空间和以后的分析工作。基于算法FSG提出了最大频繁子图挖掘算法FSG-MaxGraph;结合节点的度、标记及邻接列表来计算规范编码,提出两个定理来减少子图同构判断的次数,并应用改进后的决策树来计算支持度。实验证明,新算法解决了挖掘结果太多理解困难的问题,且提高了挖掘效率。     

偏序时态模式下规范覆盖问题*

目前有效的多时间粒度时态数据库设计方法多针对全序时态模式,当时态模式的时态类型集为偏序集时,由于涉及时态类型间的最大下界等操作而使其难以实现。针对偏序时态模式的规范覆盖问题进行研究,提出了偏序TFD（时态函数依赖）集有限闭包、偏序模式属性集有限闭包、偏序无冗余覆盖和偏序规范TFD集等概念,解决了偏序TFD成员籍问题;并给出了偏序TFD集的规范覆盖算法,对其正确性进行了证明,对算法的时间复杂度进行了分析。为偏序时态模式的综合范式分解问题研究奠定基础。     

高维力学系统的能量方程

在低维系统中,能量方程因其明晰的物理意义而得到广泛的应用,而研究高维力学系统的能量方程也同样具有理论价值和实际意义,如位移对时间的导数是速度,速度对时间的导数是加速度,这些具有明显的物理意义,而加速度的导数其物理意义就不是很清晰了,但具有理论上的意义.本文应用广义经典力学中关于广义拉格朗日函数、广义动量和广义哈密顿函数等概念,推导了高维系统的能量方程,文中举了实例具体说明新方程的应用,为力学数学系统能量方程的推广提供了一种途经.     

平面上不可压缩的Navier-Stokes方程五模截断方程组的标准型

把广义的类Lorenz系统推广到五维,给出了平面上不可压缩的Navier-Stokes方程五模截断方程组广义的类Lorenz系统的标准型;讨论了截断方程组标准型的形式统一性。     

Short‐span seeking control of hard disk drive with vibration suppression PTC

In a short‐span seeking‐mode of hard disk drives, the resonance modes are getting crucial obstruction to meet the demand on high‐speed data access. In this paper, a novel vibration suppression perfect tracking control (PTC) method is proposed based on controllable canonical realization. In the proposed method, it is assumed that the plant is modeled as the rigid and primary resonance mode. By using this model, the feed forward controller is designed with PTC by multirate sampling control in order to suppress the primary vibration. Additionally, the higher‐order resonance vibration is attenuated by using the trajectory MHVT. The proposed method achieved 16% faster seeking than MPVT, a conventional method. © 2007 Wiley Periodicals, Inc. Electr Eng Jpn, 162(1): 66–72, 2008; Published online in Wiley InterScience ( www.interscience.wiley.com ). DOI 10.1002/eej.20546     

简化位移法正则方程的一种方法

本文将超静定结构中的结点转角和位移进行了重新组合,建立了新的位移弯矩系统,使得位移法正则方程为之简化,这个问题有一定的实际意义。     

Differentiation of Crude Lipopolysaccharides from Escherichia coli Strains Using Fourier Transform Infrared Spectroscopy and Chemometrics

Crude phenol‐phase extracts containing bacterial lipopolysaccharides (LPS) from 5 strains of Escherichia coli were investigated to differentiate the strains using Fourier transform infrared (FTIR) spectroscopy and multivariate statistical analysis. The strains used were E. coli K12, E. coli DH5α, E. coli O157:H7, E. coli O157:H12, and E. coli O157:H19. LPS‐containing extracts were isolated from each E. coli strain using a hot phenol‐water extraction procedure. The extracts were 1st analyzed by deoxycholic acid‐polyacrylamide gel electrophoresis and visualized by silver‐staining. Analysis of the extracts from E. coli K12 and E. coli DH5α showed rough‐type LPS on the lower half of the gel, whereas E. coli O157:H7, E. coli O157:H12, and E. coli O157:H19 yielded abundant smooth LPS (high‐molecular‐weight LPS that include the O‐polysaccharides). Spectra (4000 cm^‐1 to 700 cm^‐1) of crude E. coli LPS extracts and intact cells were collected using a FTIR spectrometer. Spectral data were compressed by principle component analysis and analyzed using canonical variate analysis (CVA) of 4000 cm^‐1 to 700 cm^‐1 or 1200 cm^‐1 to 900 cm^‐1 spectral regions. CVA showed better separation between strains using LPS extracts than intact cells in the 1200 cm^‐1 to 900 cm^‐1 spectral region. The same separation trend was found using Mahalanobis distances that quantified spectral differences between the E. coli strains, providing 80% and >95% correct classifications of intact cells and LPS extracts, respectively. This article is the first to report the successful differentiation of E. coli strains at a serotype level using FTIR spectra of bacterial phenol‐phase extracts (crude LPS preparations).     

分析结构力学与有限元

分析力学历来是在动力学范围内论述的,结构力学与最优控制模拟关系的共同基础就是分析力学．这表明在结构力学与最优控制理论的架构内也应有分析力学的整套理论．本文就结构力学讲述分析力学,称分析结构力学．保守体系可用Hamilton体系的方法描述,其特点是保辛．保辛给出保守体系结构最重要的特性．有限元法是从结构力学发展的,有限元的单元刚度阵应保持对称性,其实这就是保辛．根据区段单元变形能只与其两端位移有关,就可通过数学分析得到Lagrange括号与Poisson括号,展示了其辛对偶体系、正则方程、正则变换等的内容．