Estimation of the Bivariate Stable Spectral Representation by theProjection Method

A method of estimating the spectral representation of a generalized bivariatestable distribution is presented, based on a series of maximum likelihood (ML)estimates of the stable parameters of univariate projections of the data. Thecorresponding stable spectral density is obtained by solving a quadraticprogram. The proposed method avoids the often arduous task of computing themultivariate stable density, relying instead on the standard univariate stabledensity. The paper applies this projection procedure, under the simplifyingassumption of symmetry, to simulated data as well as to foreign exchangereturn data, with favorable results. Kanter projection coefficients governingconditional expectations are computed from the estimated spectral density. For the simulated data these compare well to their known true values.     

火星着陆任务落点误差快速分析方法

在火星着陆任务设计中,为高效地评估进入点导航误差等动力学方程中的不确定因素对着陆精度的影响,引入Galerkin投影法则,提出一种火星着陆落点不确定度快速预报与分析方法．该方法采用Wiener-Askey正交多项式逼近着陆器状态,将落点误差的预报问题转换为1个确定性微分方程的求解问题．最后以我国未来实施火星着陆探测为背景,分别用本文算法和蒙特卡洛方法进行数值仿真分析,结果表明,本文算法能够对落点偏差进行快速分析,准确预测其均值和方差,且计算效率明显提高．     

对微波布拉格衍射实验中产生衍射极大值晶面的讨论

通过理论推导出三厘米微波布拉格衍射实验中的模拟晶体只能产生一、二级衍射,而且只有十个晶面可以产生衍射极大值,并且采用微波分光仪可以进行测量。本文还对这些晶面的特点进行了分析讨论,得出只要通过三个有代表性的晶面（晶面族）作为该实验的研究对象,就能够全面研究微波布拉格衍射实验,以便于从事这方面教学与研究的有关专业人士参考。     

点到平面距离公式的一种新证法

该文根据球面上一点切平面的方程和平移变换,对空间任一点P(x0,y0,z0),分P点为坐标原点和P点不是坐标原点两种情形,给出了到平面π:Ax By Cz D=0的距离公式d=|Ax0 By0 Cz0 D|/√A2 B2 C2 的一种新证法.     

Fatigue life calculation by means of the cycle counting and spectral methods under multiaxial random loading

The paper contains a new algorithm for estimation of fatigue life in HCF regime under multiaxial random loading using spectral methods. Loading of Gaussian distribution and narrow‐ and broad‐band frequency spectra were assumed. Various characteristic states of multiaxial loading were considered. The equivalent stress history was determined with use of the failure criteria of multiaxial fatigue based on the critical plane. For determination of the critical plane position, the method of variance was applied. During simulation, the authors compared the results obtained by a spectral method in the frequency domain with those from the rain‐flow algorithm in the time domain. The paper also contains the results of fatigue tests for 18G2A structural steel subjected to bending and combined bending with torsion. The tests were performed in order to verify the proposed algorithms for determination of fatigue life. It has been shown that under multiaxial random loading results of fatigue life calculated according to the considered algorithms in frequency and time domains are well correlated with the results of experiments.     

利用透射对应原理画透视图的探讨

用二平面及不属于这二平面的点S或根据空间笛沙格定理建立平面场的透视对应，由此建立平面上的透射对应，用透射对应原理建立透视图与平面图的对应关系，证明用透射对应画透视图的原理，探讨用此原理画透视图的方法，并将用此方法所画透视图与用视线法所画透视图进行比较。     

斜面焊口超声波探伤中的缺陷定位

详细介绍了在斜面焊口超声波探伤中采用声程调节扫描比例进行缺陷定位的计算方法，并给出了计算公式。     

几种求作曲面交线的方法

通过实例介绍了应用辅助球面法、直线辅助投射法、空间透视仿射变换法等求作非回转曲面参与相贯的曲面交线的投影问题     

磁介质涂层圆锥喇叭天线的设计方法

通过在圆锥喇叭内壁加磁介导涂层的方法，成功地设计了具有低副瓣、低交叉极化和方向图对称的喇叭天线。该磁介质涂层既是良导电体，又是良导磁体。通过选择合适的喇叭张角，该喇叭天线与波纹喇叭性能相同，而且比波纹喇叭设计简单。     

正轴测投影中的非轴向度量问题

简要论述了如何根据正轴测投影性质及投影变换方法解决正轴测投影中的非轴向度量问题 ,在画法几何作图方面进行了有益的探索和研究