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.     

粮食筒仓中测温电缆的受力分析

埋在粮食筒仓中构件的受力量值的大小是筒仓结构设计中是不容忽视的问题，可作为特种结构土建结构设计人员计算参考．     

关于差阻式仪器的几个技术问题

本文对差阻式仪器的几个重要问题,如差阻式仪器的国家标准、监测数据的质量控制、长期埋设仪器的现场鉴定、仪器测值异常的分析处理等进行了讨论,并提出了自己的意见,供有关科研人员进一步研究和参考.     

A Method of Measuring Current–Voltage Characteristics Based on the Hammerstein–Chebyshev Model

A method of measuring the current–voltage characteristics of nonlinear components is proposed, which involves applying a sinusoidal voltage to the object being measured, finding the Fourier spectrum to read out the output current, and a calculation using the spectrum of the coefficients of the expansion of the measured characteristic in Chebyshev polynomials. The properties of the Hammerstein–Chebyshev model are considered, a block diagram of a measuring instrument is presented, and recommendations are made for minimizing the systematic errors due to approximating their characteristics by Chebyshev polynomials.     

贵冶三期配料仓皮带秤改造

本文从原理、结构及特点分析了贵冶配料仓皮带秤由机械式皮带秤改为电子式皮带秤的必要性及效果。     

锚索测力计有关应用问题的探讨

通过分析锚索测力计因受力状态不同而带来的系统误差,提出了测力计实测锚固力的修正方法及部分测力计传感器失效后延续锚固力测值的计算方法.     

Optimal linear filter design for systems with correlation in the measurement matrices and noises: recursive algorithm and applications

This paper addresses the optimal least-squares linear estimation problem for a class of discrete-time stochastic systems with random parameter matrices and correlated additive noises. The system presents the following main features: (1) one-step correlated and cross-correlated random parameter matrices in the observation equation are assumed; (2) the process and measurement noises are one-step autocorrelated and two-step cross-correlated. Using an innovation approach and these correlation assumptions, a recursive algorithm with a simple computational procedure is derived for the optimal linear filter. As a significant application of the proposed results, the optimal recursive filtering problem in multi-sensor systems with missing measurements and random delays can be addressed. Numerical simulation examples are used to demonstrate the feasibility of the proposed filtering algorithm, which is also compared with other filters that have been proposed.     

曲线拟合法在热变形温度与维卡软化点测定仪中的应用

通过试验和分析提出了在热变形温度与维卡软化点测定仪中应用温度曲线拟合的测定方法，介绍了拟合方程系数的在线修正方法。通过与其他传统温度测量方法的试验结果比较，验证了采用曲线拟合方法在动态温度测量中的优越性。同时还扼要叙述了系统相关部分的软硬件实现原理。     

一种板形检测值处理方法的开发及应用

介绍了一种用于接触式分段板形仪的板形检测信号处理方法及处理流程．用该方法处理板形检测信号不需要计算带钢在板形仪上形成的包角．该法编制成程序后,作为一个模块被应用在一台可逆冷轧机的板形控制系统中．轧机投入运行后,生产稳定,并取得了良好的板形控制效果,平均板形偏差控制在5I以下,表明该方法是稳定、有效的,可以用于工业生产．     

锦屏一级拱坝黏弹性工作性态反演分析

针对锦屏一级拱坝历年1 880 m高水位稳定期坝体向下游侧位移持续增大的异常变形性态,基于现场位移监测数据和坝体混凝土徐变试验数据,对该拱坝当前运行性态进行了反演分析。结果表明:坝体目前处于黏弹性工作状态,监测发现的短期趋势性变形是由水压荷载作用下黏弹性滞后变形效应和年周期环境温降效应所共同引起。混凝土黏弹性力学参数之间具有较好的线性关系,基于弹性水压分量反演得到的坝体混凝土弹性模量实际是瞬时弹性模量与延迟弹性模量的等效值,对于锦屏一级拱坝,该反演值为35.5 GPa,与前期反演值和试验值较为接近;而基于黏弹性水压分量反演得到的广义Kelvin模型中瞬时弹性模量、2延迟弹性模量和2黏滞系数分别为47.3 GPa、189.4 GPa、132.3 GPa、383.8 GPa·d和20 574.6 GPa·d。建议今后对锦屏一级拱坝建立变形监控模型时,应在HST模型中引入黏弹性滞后水压分量。