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| 相贯线中用圆弧代替双曲线近似程度的误差估计 | |
| 引用本文： | 葛常清,程军,李忆馥.相贯线中用圆弧代替双曲线近似程度的误差估计[J].河北职业技术学院学报,2004,4(4):24-26. |
| 作者姓名： | 葛常清 程军 李忆馥 |
| 作者单位： | 1. 上海第二工业大学,上海,201209 2. 上海工会干部管理学院,上海,200437 3. 苏州大学,江苏,苏州,215021 |
| 摘 要： | 两圆柱相交时其表面交线一般情况下是空间四次曲线。当两圆柱的轴线垂直相交时，其表面交线在与两轴线平行的平面上的投影一般重影为双曲线，常用面上找点法作出。工程上有时为了简化作图，常用两圆柱中大圆柱的半径所作的圆弧来代替双曲线。这种代替有时两者的形状相差较大。本文通过正交两圆柱表面交线数学表达式及投影图、误差曲线图等多方面的考察分析，提出在投影图上使用圆弧代替双曲线的合适范围与条件。 |
| 关 键 词： | 双曲线 圆柱 圆弧 一般 作图 垂直 平面 交线 相交 近似 |
| 文章编号： | 1671-1017(2004)04-0024-03 |
| 修稿时间： | 2004年9月20日 |
Error Estimate on Similarity in the Replacement of Hyperbola by arc, in the Line of Intersection |
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| GE Chang - qing CHENG Jun LI Yi - fu.Error Estimate on Similarity in the Replacement of Hyperbola by arc, in the Line of Intersection[J].Journal of Hebei Polytechnic,2004,4(4):24-26. | |
| Authors: | GE Chang - qing CHENG Jun LI Yi - fu |
| Institution: | GE Chang - qing CHENG Jun LI Yi - fu |
| Abstract: | generally speaking, when two cylinders intersect each other, the surface intersecting line might be space quad ric curve. When the axes of two cylinders meet at right angles, the surface intersecting line and its projection on the plane parallel to the axes might merged into a hyperbola. The habitual practice is to find spots from plane. In engineering, the arc drawn by the radius of the bigger one of the two cylinders is often used to replace the hyperbola in order to simplify drawing. This replacement sometimes leads a great difference in shape. So, on what circumstances is this replacement suitable? The author in this paper is to put forward the right ranges and conditions of the replacement of hyperbola by arc in projection figure through observation and analyses on mathematical expression of surface intersecting line of two vertical-intersecting cylinders, error hyperbola, projection figure, etc. |
| Keywords: | arc hyperbola cylinder line of intersection surface intersecting line space quadric curve mathematical expression common symmetric plane |
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