Final , the plane models producing method for complete plane regions is proposed involving limiting the search region of extending for a half - plane , extending region with feature points , grouping neighbor and coplanar planes and rendering the plane models 最后，提出建构出完整平面模型的方法，包括半平面扩展的搜寻范围限制，使用特徵点来进行平面扩展，将邻近且共平面的两平面组合起来，绘制出平面模型。
First thing is to use a suitable green " function , which is a essential solution of displacement field for the elastic half space with a half circular lining , which impacted by out - plane harmonic line source loading at horizontal surface 求解该问题的过程中，首先利用一个适合本问题的green函数，该函数为具有半圆环形衬砌的弹性半空间在其水平表面上任意一点承受时间谐和的出平面线源荷载作用时位移场的解答。
This text introduces a rotation method for the absolute testing of three optic flats , which is based on the photoelectric detecting technique , laser interference technique and image manipulation technique , it can solve the deviation on n diameters of each optic flat and enhance the accuracy 本文介绍的基于光电探测技术、激光干涉技术、图像处理技术的带旋转三面互检法可以解出平面上n条直径线上的点的面形偏差，可以提高测量准确度。
Since the antiplane scattering problems of local sites could be divided into two kinds : interior and exterior problems , main points to solve the problems are graf ' s addition theorem . so two expressions and suitable range of the graf ' s addition theorem are studied hi the paper . moreover , an auxiliary function method for mixed boundary - value problems are also discussed in this paper 由于典型局部场地弹性波出平面散射问题可以分为内域型和外域型两大类，求解这些问题的要点是要完成特殊函数在不同坐标系间的变换，因此本文对graf加法公式的两种表达及其适用范围做了研究，另外对解决混合边值问题的辅助函数法做了研究。
After that , antiplane surface motion features of the shallow alluvial valley of small depth - to - width ratio are investigated in details . the results indicate that surface displacement amplitudes of alluvial valley will not reduce when the alluvial valley become shallow . the maximum amplitudes will move to high frequency with depth - to - width ratio becoming small 在此基础上，对小深宽比的浅圆弧型沉积盆地出平面地表运动特征做了较深入的研究，结果表明盆地地表位移幅值不会因变浅而减小，最大反应会随着盆地深宽比的减小而向高频移动。
But due to the difficulties of the theoretical calculation and the limitation of the technique of image display , only some two - dimensional graphs of electromagnetic field of a planar set of point charges or symmetrically and uniformly charged bodies , which ignores the boundary effect , are introduced in the present electromagnetics teaching materials , which brings much incovenience for the acquaintance of the electrostatic field 然而,由于受理论计算和图象显示技术等因素的限制,目前的电磁学教材中,通常只能给出平面分布的点电荷系或具有较强对称性、忽略边界效应的带电体的电力线和等势线的二维平面图,这给静电场分布的感性认识带来了一定不便。
Several typical sites are chosen in this paper in order to investigate the main points of wave function expansion method applied to elastic wave scattering problems . antiplane scattering analytical solution for the alluvial valley of shallow circular - arc cross - section is investigated , which has practical engineering value 本文选择了几种典型场地，研究了波函数展开法在求解其中局部场地弹性波散射问题时的要点，对更有工程实际意义的浅圆弧型沉积盆地，研究了其出平面散射解析解答的收敛性和精度。
By means of computing it makes clear that this way is simple , and if you make out the non - polar velocity diagram of planer rigid - body system , you may determine speedily the relations of the imaginary displacement , and moreover it brings about a new way to determine the imaginary displacements of planer rigid - body system 算例表明，该方法简单，而且只要作出平面刚体体系的无极速度图，便可快速地确定该体系的虚位移关系；同时，该方法也为平面刚体体系虚位移关系的确定提供了一条新途径。
The model of the problem is composed of two half spaces with half circular lining inclusion . horizontal surfaces of the half spaces are loaded with undetermined anti - plane force in order to satisfy continuity conditions at linking section , or with some certain forces to appear cracks . a series of fredholm integral equations of the first kind for determining the unknown forces can be set up through continuity conditions that expressed by using of the green " function 然后将问题的模型视为“契合”问题，即将其剖分为两个含半圆环形衬砌的弹性半空间，分别在其剖分面上加置未知的出平面荷载，并在欲出现裂纹位置加置出平面反力使之产生裂纹，接下去利用green函数表示出界面连续条件，建立决定待解外力系的第一类fredholm积分方程组。
