《工程制图》课程PPT教学课件（双语）第3章 立体投影——曲面立体的投影 Projection of Curved Solids

Projection of Curved Solids 曲面立体的投影 Summary of Curved Solids 曲面立体概述 Right Cylinder 圆柱体 Cone 圆锥体 Sphere 圆球体 Exercise 练习题 请点击相应标题显示其内容 总目录

Summary of Curved Solids 曲面立体概述 Right Cylinder 圆柱体 Cone 圆锥体 Sphere 圆球体 Exercise 练习题 Projection of Curved Solids 曲面立体的投影 请点击相应标题显示其内容

Summary of Curved Solids曲面立体慨述 Curved solids:When an element (a line or a curve)revolves around an axis,a revolution surface is produced.Curved solids that are surrounded by revolution surfaces are called revolution. 曲面立体： 一条母线（直线或曲线）绕一轴线回转而形成的曲 面，称为回转面；由回转面所围成的立体，称为回转体。 Curved solids ,〔Right cylinder,Cone圆柱、圆锥 曲面立体： Sphere,Cirque 圆球、圆环 请点击鼠标左键显示后面内容

2 Right cylinder, Cone 圆柱 、圆锥 Curved solids: When an element (a line or a curve) revolves around an axis, a revolution surface is produced. Curved solids that are surrounded by revolution surfaces are called revolution. 曲面立体: 一条母线（直线或曲线）绕一轴线回转而形成的曲 面,称为回转面;由回转面所围成的立体，称为回转体。 Sphere, Cirque 圆球、圆环 Curved solids 曲面立体: 请点击鼠标左键显示后面内容 Summary of Curved Solids 曲面立体概述

Right Cylinder 圆柱体 1.Projection of a right cylinder 圆柱体的投影 Draw steps画图步骤： Draw centerlines and datum lines. 先画中心线和基准线； Add view of the upper or lower face. 再画反映顶或底面形状的视图； Complete three views. 按三等规律画全三视图。 请点击鼠标左键显示后面内容

3 1. Projection of a right cylinder 圆柱体的投影 Draw steps画图步骤： 请点击鼠标左键显示后面内容 Right Cylinder 圆柱体 Draw centerlines and datum lines. 先画中心线和基准线； Add view of the upper or lower face. 再画反映顶或底面形状的视图； Complete three views. 按三等规律画全三视图

Right Cylinder 圆柱体 2.Getting points on the surface of a right cylinder 圆柱体表面取点 Method:It could be obtained on the circle following 方法 the projection principle and accumulation. 利用有积聚性的圆投影求之。 Distinguish:Limit elements are usually the boundary between visible and 判别 invisible regions of the corresponding projection direction. 转向轮廓线通常是回转面上对某投射方向可见部分与 不可见部分的分界线。 Label All invisible points are written in brackets. 标注 对不可见的点加括号以示区别。 Example1.Draw a right cylinder and get points on the surface. 画圆柱及表面上点的三视图 请点击鼠标左键显示后面内容

4 Limit elements are usually the boundary between visible and invisible regions of the corresponding projection direction. 转向轮廓线通常是回转面上对某投射方向可见部分与 不可见部分的分界线。 Method： 方法 It could be obtained on the circle following the projection principle and accumulation． 利用有积聚性的圆投影求之。 2.Getting points on the surface of a right cylinder 圆柱体表面取点 Distinguish: 判别 Label： 标注 All invisible points are written in brackets. 对不可见的点加括号以示区别。 请点击鼠标左键显示后面内容 Example1. Draw a right cylinder and get points on the surface. 画圆柱及表面上点的三视图 Right Cylinder 圆柱体

Cone 圆锥体 1.Projection of a cone 圆锥体的投影 Draw steps画图步骤： Draw centrelines and datum lines. 先画中心线和基准线； Add view of the lower face. 再画发映底面形状的视图： Complete three views. 按三等规律画全三视图。 请点击鼠标左键显示后面内容

5 1. Projection of a cone 圆锥体的投影 Draw steps画图步骤： 请点击鼠标左键显示后面内容 Cone 圆锥体 Draw centrelines and datum lines. 先画中心线和基准线； Add view of the lower face. 再画反映底面形状的视图； Complete three views. 按三等规律画全三视图

Cone 圆锥体 2.Getting points on the surface of a cone 圆锥体表面取点 Element method Method: 辅助素线法 方法 Circle method 辅助纬圆法 Limit elements are usually the boundary between visible Distinguish:and invisible regions of the corresponding projection direction 判别 转向轮廓线通常是回转面上对某投射方向可见部分与 不可见部分的分界线。 Label: All invisible points are written in brackets. 标注 对不可见的点加括号以示区别。 Example2.Draw a cone and get points on the surface. 画圆维及表面上点的三视图 请点击鼠标左键显示后面内容

6 Element method 辅助素线法 2.Getting points on the surface of a cone 圆锥体表面取点 Circle method 辅助纬圆法 请点击鼠标左键显示后面内容 Example2. Draw a cone and get points on the surface. 画圆锥及表面上点的三视图 Cone 圆锥体 Limit elements are usually the boundary between visible and invisible regions of the corresponding projection direction. 转向轮廓线通常是回转面上对某投射方向可见部分与 不可见部分的分界线。 All invisible points are written in brackets. 对不可见的点加括号以示区别。 Method: 方法 Distinguish: 判别 Label: 标注

Sphere 圆球体 1.Projection of sphere 圆球体的投影 Draw steps画图步骤： Draw centerlines and symmetry lines. 先画出各视图的回转轴线和对称中心线； Complete three limit elements of sphere. 再画三个处于转向轮廓线位置的素线圆投影。 请点击鼠标左键显示后面内容

7 Sphere 圆球体 1. Projection of sphere 圆球体的投影 Draw steps 画图步骤： Draw centerlines and symmetry lines. 先画出各视图的回转轴线和对称中心线； Complete three limit elements of sphere. 再画三个处于转向轮廓线位置的素线圆投影。 请点击鼠标左键显示后面内容

Sphere 圆球体 2.Getting points on the surface of a sphere 圆球体表面取点 Method:Circle method 辅助纬圆法 方法 Distinguish:Limit elements are usually the boundary between visible 判别 and invisible regions of the corresponding projection direction 转向轮廓线通常是回转面上对某投射方向可见部分 与不可见部分的分界线。 棕 All invisible points are written in brackets. 对不可见的点加括号以示区别。 Example3.Draw a sphere and get points on the surface. 画圆球及表面上点的三视图 请点击鼠标左键显示后面内容

8 2.Getting points on the surface of a sphere 圆球体表面取点 请点击鼠标左键显示后面内容 Example3. Draw a sphere and get points on the surface. 画圆球及表面上点的三视图 Sphere 圆球体 Circle method 辅助纬圆法 Limit elements are usually the boundary between visible and invisible regions of the corresponding projection direction. 转向轮廓线通常是回转面上对某投射方向可见部分 与不可见部分的分界线。 All invisible points are written in brackets. 对不可见的点加括号以示区别。 Method： 方法 Distinguish: 判别 Label： 标注

Exercise.Complete each drawing by adding the missing detail. 补全回转体及其表面上各点的H、W面投影。 (1)Draw a cone and get points on surface.(2)Draw a sphere and get points on surface. 画圆锥及各点的三投影 画圆球及各点的三投影 b 解答 请点击解答显示其内容 解答 石同a同

9 Exercise. Complete each drawing by adding the missing detail. 补全回转体及其表面上各点的H、W面投影。 a' c' （1）Draw a cone and get points on surface. 画圆锥及各点的三投影 b' （2）Draw a sphere and get points on surface. 画圆球及各点的三投影 c' b' (a' ) a c" (a") b" c b a a" (b) (b") c c" 请点击解答显示其内容

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