摘要
赤平极射投影可表示空间上的点、直线、平面等几何要素,根据它们的空间方向和产状可以作出赤平极射投影图,同时,可以根据赤平极射投影图,测读它们的空间方向和产状,因此在岩体工程地质学中得到广泛应用。利用苏联学者吴尔福1902年发表的一个赤平极射投影网,称为吴氏投影网,根据吴氏网的作图原理,推导出求两结构面交线倾伏角和倾伏向及位于同一平面两条相交直线的夹角的数学公式,可以方便地使用计算机绘制投影图,使用计算器,甚至可用智能手机求直线、平面空间的方向和产状。
Point,line, plane and other geometric elements in space can be expressed by stereographic projection according to their spatial direction and occurrence;at the same time the author can read the orientation and attitude from the stereogram, so it can be used in rock mass engineering geology widely. In this paper, mathematical formula for seeking the pitch direction, pitch angle of two structural plane＇ s intersection and the joint angle of two intersecting lines in the same plane have been derived by using wulff net which was put forward by wulff in 1902, so we can easily use drawing projec- tion map by computer, or seeking spatial direction and occurrence of the. line and plane by calculator or even by smart phone, can be easily used
出处
《资源环境与工程》
2009年第5期653-656,共4页
Resources Environment & Engineering
关键词
赤平投影
吴氏网
结构面
stereographic projection
wulff net
structural plane
