An explicit representation of steady state response of a beam on an elastic foundation to moving harmonic line loads

A closed‐form deflection response of a beam rest is presented in this paper using the integral transform method. The theory of linear partial differential equations is used to represent the deflection of beam subjected to a moving harmonic line load in integration form. The solution is finally carried out using the inverse Fourier transform. To evaluate the integration analytically, poles of the integrand are identified with the help of algebraic equation theory. Residue theorem is then utilized to represent the integration as a contour integral in the complex plane. Closed‐form deflections and numerical results are provided for different combinations of load frequency and velocity. Copyright © 2002 John Wiley & Sons, Ltd.     

PROPAGATION OF 30—60 DAY LOW FREQUENCY OSCILLATIONS AND THEIR INFLUENCE UPON THE SUBTROPICAL WESTERLIES JET STREAM DURING NORTHERN HEMISPHERE WINTER

Based on daily ECMWF gridpoint data of two winters during 1981—1983 including an ENSOyear,propagation of low frequency oscillations(LFO)during Northern Hemisphere winters andtheir influences upon 30—60 day oscillations of the subtropical jet stream are studied with the sta-tistical methods as complex empirical orthogonal function(CEOF)and so on.Results show that inthe winter of a normal year(1981—1982),30—60 day oscillations in the subtropical zone aremainly in the northern and southern flanks of exit region of jet stream.In the ENSO year(1982—1983),they are mainly in the vicinity of entrance and exit regions of jet stream.Intraseasonalchanges of subtropical jet stream manifested themselves as latitudinal fluctuation or longitudinalprogression or regression of about 40 day period.There are marked differences between propagat-ing passages of low frequency modes responsible for changes of subtropical jet stream in the normalyear(1981—1982)and in the ENSO year(1982—1983).Changes of oscillation amplitude showobvious phases.In general,the one in late winter is stronger than that in early winter,strongestone occurs in February.     

Cokriging nonstationary data

Universal cokriging is used to obtain predictions when dealing with multivariate random functions. An important type of nonstationarity is defined in terms of multivariate random functions with increments which are stationary of orderk. The covariance between increments of different variables is modeled by means of the pseudo-cross-covariance function. Criteria are formulated to which the parameters of pseudo-cross-covariance functions must comply so as to ensure positive-definiteness. Cokriging equations and the induced cokriging equations are given. The study is illustrated by an example from soil science.     

复合linex对称损失下Lomax分布参数的Bayes估计

研究了在复合linex对称损失下,两参数Lomax分布当刻度参数已知时,其形状参数的Bayes估计及其容许性,并给出了其多层Bayes估计的一般形式。     

Application of saddlepoint approximation in reliability analysis of dynamic systems

The application of the saddlepoint approximation to reliability analysis of dynamic systems is investigated. The failure event in reliability problems is formulated as the exceedance of a single performance variable over a prescribed threshold level. The saddlepoint approximation technique provides a choice to estimate the cumulative distribution function (CDF) of the performance variable. The failure probability is obtained as the value of the complement CDF at a specif ied threshold. The method requires computing the saddlepoint from a simple algebraic equation that depends on the cumulant generating function (CGF) of the performance variable. A method for calculating the saddlepoint using random samples of the performance variable is presented. The applicable region of the saddlepoint approximation is discussed in detail. A 10-story shear building model with white noise excitation illustrates the accuracy and effi ciency of the proposed methodology.     

速度传感反馈地震计的参数稳定性分析

从理论上定量分析机械摆和环路滤波等开环诸参数变化对速度传感反馈地震计闭环参数的影响.研究指出,在环路设计中可半自由选取的开环阻尼取值对参数稳定性有重要影响.过大或过小的开环阻尼取值均可能造成参数稳定性急剧变差,影响地震计在只标不调的状况下长期连续稳定工作.     

用经验模型判断能力验证统计分析结果的合理性

能力验证是检测实验室识别与同行差异的一种途径,但中国合格评定国家认可委员会( CNAS)在组织能力验证时发现由于种种原因,有些实验室并不能秉承诚信的原则参加能力验证活动,导致统计分析结果“失真”.如何甄别这种情况,确保所有参加CNAS能力验证活动的实验室都获得公平的评价,这是CNAS亟待解决的问题.本文在用国内文献数据对经验模型进行修正的基础上,提出用上报数据目标标准偏差(或稳健标准偏差,sR)与基于经验模型的计算值之比(H值)是否小于0.5作为判据来审核上报数据统计分析结果的合理性.对13套能力验证数据分析表明:其中10套上报数据sR正常,3套数据存在问题.当目标标准偏差偏小,H＜0.5时,建议采用同样是稳健统计方法的迭代法代替四分位法来计算目标标准偏差(sR),或用经验模型计算结果代替实验值计算Z值.通过验证表明,借助Horwitz经验模型可以判断能力验证数据统计分析结果的合理性,并能有效地识别并防止由于某种原因导致对能力验证结果评价失效的情况.     

基于能量原理的Park & Ang损伤模型简化计算方法

Park＆Ang损伤模型综合考虑了结构最大变形和累积滞回耗能的耦合作用,具有一定的先进性,被国内外研究者广泛采用;但由于该模型中参数的计算困难,尤其涉及结构滞回耗能的计算问题时,该模型的应用受到了一定的限制;文中从能量的关系入手,寻找出结构滞回耗能与结构最大位移的关系,利用该关系可方便求解出结构的滞回耗能,从而为该模型的计算提供了一种简便方法;最后,例题分析证明本文的方法简便可行,计算效率高。     

整体最小二乘的迭代解法

在引入整体最小二乘平差准则的基础上,推导了整体最小二乘的迭代解法;同时,引入多元函数隐函数求导的方法以确定未知参数对观测数据的线性信息,解决了整体最小二乘下的精度评定问题。给出了运用新的解法在拟合函数确定以及坐标转换参数确定等方面的应用实例,验证了新算法的可行性。     

两种震级标度讨论

分析论述了我国在测报近震震级和面波震级业务中存在的种种问题，用现行起算函数测算的ML随震中距存在系统偏差，近场偏低，远场偏高；此函数系统建立的方法有不合理之处，它不适于DD-1仪。用现行公式测算的MS与国际上震级水平不一致，总体趋势偏高；在90(距离上震级零点严重失控；用单一水平向记录计算MS是个原则性差误。需要用新的起算函数系统代替R1(()计算ML; 需要用新的公式取代现行公式计算MS。