A family of lower- and higher-order transversal linearization techniques in non-linear stochastic engineering dynamics

Sample pathwise numerical integration of noise-driven engineering dynamical systems cannot generally be performed beyond a limited level of accuracy, especially when the noise processes are modelled using (filtered) white noises. Recently, a locally transversal linearization (LTL) strategy has been proposed by the author (Proc Roy Soc London A 2001; 457 :539–566) for direct integration of deterministic and stochastic non-linear dynamical systems. The present effort is focussed on a host of extensions along with detailed theoretical error analyses of the linearization approach, especially as applied to problems in non-linear stochastic engineering dynamics. Thus, to begin with, estimates of local and global error orders in the basic LTL scheme are obtained separately for the displacement and velocity vectors when the system is driven either by a set of additive noises or by an arbitrary combination of (independently evolving) additive and multiplicative noises. Following this, a new family of higher-order LTL schemes is proposed in order to improve upon the basic LTL method and the associated error orders are established. A stepwise implementation of the lower- and higher-order versions of the LTL method, along with certain computational aspects, is also outlined. The proposed schemes are numerically illustrated, to a limited extent, for a single degree-of-freedom (SDOF) and a two degree-of-freedom (TDOF) non-linear engineering systems under additive and/or multiplicative white noise excitations. Copyright © 2004 John Wiley & Sons, Ltd.     

A Modified Variational-Gradient Method for Quasilinear Equations

A modified variational-gradient method is proposed and substantiated for quasilinear operator equations in a Hilbert space.     

试论双点后方交会简便公式

根据双点后方交会的图形特点和已知条件，列出了方程组，推导出了双点后方交会直接计算座标的简便公式，同时求出了精度计算公式，以供测量人员参考     

用作图法测定R50的理论分析

研究了步、机枪射击密集度试验中弹着点半经的顺序统计量，给出了作图法测定Ｒ_（５０）的理论分析，得到了作图法是测定Ｒ_（５０）的好方法的结论．     

The Continuous Interpolating Self-organizing Map

The self-organizing map (SOM) [5] provides a general data approximation method which is suitable for several application domains. The topology preservation is an important feature in data-analysis and may also be advantageous for the evaluation of the data in a function approximation or regression task. For this reason the interpolated self-organizing map (I-SOM) adds an output layer to the SOM architecture which computes a real valued output vector. This paper presents an extension of I-SOM towards a continuous interpolation. It is compared to RBF and to the parametrized self-organizing map.     

PSD激光直线度测量仪

介绍了采用PSD传感器设计的激光直线度测量的工作原理，以及激光器、光靶和计算机系统的设计。     

一种新的含水率校正方法

从研究流体流动规律出发,结合模拟井实验结果,建立了多参数、非线性的半理论和半实验含水率校正模型,提出了反映两相滑脱效应的滑动比概念,其计算方法物理意义清晰并具有明确的收敛边界。与模拟井实验结果进行对比,使用平方法降低了含水率校正误差。     

暴雨洪水流域系统随机模拟(研究之三)

本文提出的移置特大暴雨的不连序序列的随机插补方法,以及利用W—H逆变换法将偏态暴雨序列转为正态序列和随机扣除模拟的暴雨过程损失量等方法,基本是可行的,对提高模型的代表性、稳定性和实用性有重要作用。     

一个矢量形式的双圆弧插值算法

本文在分析数控插补最常用的双圆弧插值算法特点的基础上，将以局部坐标系中的三角运算为核心的传统双圆弧插值算法，改造成为以整体坐标系中的线性运算为核心的矢量形式的双圆弧插值算法，从而减少了计算的复杂性和程序的复杂性，提高了效率和可靠性。     

计算机存储系统的9位字节单向错误检测码

本文介绍了一种计算机存储系统中的单向错误检测码，系统构成采用９位字节，其中８位数据位，１位校验位，并使用一个单独的附加奇偶校验字节。单向错误检测码有两类，一类每个字包含固定的奇偶校验位；另一类每个字节包含的检验位的构成方式是任意的。