任意直线间反向曲线的CAD作图  

CAD Mapping of Reverse Curve between Arbitrary Straight Lines

作　　者：姚传开[1] 韩长生[1] 

机构地区：[1]中铁二院工程集团有限责任公司,成都610031

出　　处：《高速铁路技术》2013年第4期20-24,共5页High Speed Railway Technology

摘　　要：2条直线间需要设置反向曲线,尤其在工程设计中,要求反向曲线间夹直线长度一定,2段连接直线长度也一定,连接曲线半径是2个定值,需要通过复杂的角度计算之后方能求得,且在CAD作图中需按照计算数据拼凑图形,费时费力。文中通过逆向思维在成型的反向曲线中探求反向曲线中所存在的各种几何关系,进而寻找作图方法,在CAD中逐步实现,并通过计算验证作图的准确性,最终在CAD中实现反向曲线既简单又准确无误的几何作图方法。Two branch lines need to set the reverse curve, especially in the engineering design, it is required that when the tangent straight line length between the reverse curves is determined, the connected straight line length of two seg- ments is also determined. The connecting curve radius need two fixed value, which can be obtained through the complex angle calculation, and in the CAD drawing the patchwork of graphics must be done according to the calculated data, thus waste time and energy. In the reverse curve molding through reverse thinking, this paper is intended to discuss the various geometric relationship existing in the reverse curve, then find the mapping method achieved in the CAD progres- sively and the drawing accuracy is validated by computer, finally in the CAD both simple and accurate geometric mapping methods for the reverse

关 键 词：CAD 反向曲线 几何作图 夹直线 逆向思维 

分 类 号：U212.4[交通运输工程—道路与铁道工程]