新型圆锥曲线组合图规设计及其原理

A New Design of Combinational Conical Curve Gauge and Principle of Chart

分析了新型圆锥曲线图规(椭圆规、双曲线规和抛物线规)设计的数学原理,利用圆锥曲线的光学性质和几何性质提出了一套图规设计的基本理论,基于这套理论设计出一种新型的、由多个简单连杆型机构零件组合而成的圆锥曲线图规;应用这种组合图规可以规范、快速地绘制出各种工程上常见的二次曲线,弥补了工程制图中一般绘图仪器功能单一的缺点,有较好的应用前景。

Through analyzing mathematical principles of designing the conical curve gauge(ellipse gauge, hyperbola gauge and parabola gauge), a set of design theory is put forward based on the optical and geometric properties of conical curve. By applying this theory, a new type of conical curve gauge is designed, which is composed of multiple simple linkage mechanical parts assembly, and which can help quickly draw various normative conical curves common in engineering. It makes up for the disadvantage that the function of general engineering drawing instrument is single and has a good prospect of application.