双贴合无光焦度校正板在主反射镜前的两镜系统的像差特性

在光学系统中特别是反射系统中经常通过加无光焦度校正板来减少或消除其他元件所产生的像差。讨论了双贴合无光焦度校正板放在主镜前的双反射球面系统，根据像差理论分析了消像差的条件，研究了系统中各种参数的变化对系统高级残余像差的影响。结果表明主镜的相对孔径越大，系统的残余像差增加；正透镜在前的校正板结构优于负透镜在前的结构；选择合适的校正板单透镜的光焦度，可使系统的高级残余像差最小。     

一类广义几何序列的相关函数

计算序列的周期相关函数是一个很困难但又十分重要的问题。本文首次给出了线性相关广义几何序列的相关函数，从而部分地解决了Ｋｌａｐｐｅｒ提出的相关函数计算问题。     

An eight‐node hybrid‐stress solid‐shell element for geometric non‐linear analysis of elastic shells

This paper presents eight‐node solid‐shell elements for geometric non‐linear analysis of elastic shells. To subdue shear, trapezoidal and thickness locking, the assumed natural strain method and an ad hoc modified generalized laminate stiffness matrix are employed. A selectively reduced integrated element is formulated with its membrane and bending shear strain components taken to be constant and equal to the ones evaluated at the element centroid. With the generalized stresses arising from the modified generalized laminate stiffness matrix assumed to be independent from the ones obtained from the displacement, an extended Hellinger–Reissner functional can be derived. By choosing the assumed generalized stresses similar to the assumed stresses of a previous solid element, a hybrid‐stress solid‐shell element is formulated. Commonly employed geometric non‐linear homogeneous and laminated shell problems are attempted and our results are close to those of other state‐of‐the‐art elements. Moreover, the hybrid‐stress element converges more readily than the selectively reduced integrated element in all benchmark problems. Copyright © 2002 John Wiley & Sons, Ltd.     

Geometric features of the flame propagation process for an SI engine having dual‐ignition system

Flame front surface area and enflamed volume (the volume enclosed with flame front) is theoretically analysed for a spark‐ignition engine, having cylindrical disc‐shaped combustion chamber with two spark plugs located axisymmetrically on cylinder head, between cylinder axis and cylinder wall. Spherical flame front assumption is used. A computer code is developed based on purely geometric consideration of the flame development process in combustion chamber, and is used to investigate the effects of variations of spark plugs' locations on geometric features of the flame front. A comparison has also been made with a spark‐ignition engine having one spark plug at the same location. Copyright © 2002 John Wiley & Sons, Ltd.     

代数曲面的几何连续过渡及其应用

本文对代数曲面的几何连续拼接作了研究，给出了多个代数曲面的几何连续过渡方法，同时给出了一种基于分片的曲面过渡方法。     

矢量图的参数化重建系统——VACAD

本文重点探讨了如何将矢量图形进行参数化重建，即从只具备纯几何信息的矢量图中抽取元素间的拓扑信息，从而保证尺寸变动时保持拓扑关系不变，并能对多视图进行同步处理。这一方法的最大优点是用户作图时不受约束，因为系统只处理最终图形。另外，该思想并不局限于Ａｕｔｏ ＣＡＤ环境上，可方便地推广到其它二维绘图系统中。     

应用线性相关分析方法探讨国土卫片几何畸变纠正的精度

我国卫星影像具有空间分辫率高，比例尺适中的特点。由于国土片是全.景成像比例尺变化大，用它来编绘专业地图，给精度衡蚤带来很大困难，需要对国土片进行几何校正。本文试图用线性相关分析方法，分析经过AR月尧卜n图像处理系统刘正的国土片几何精度。以便为分析专题图精度提供依据，同时也为分析遥感影像几何精度介绍一种方法。     

从相干态观点看中子在旋转磁场中的几何相位

运用相干态方法，本文证明了中子在旋转磁场中的几何相位是粒子态矢量在态空间中扫过的立体角的一半，同时提供了一种几何相位在周期演化中的简单算法。