﻿ 渐开线绘图仪设计 Design of Involute Drawing Plotter

Mechanical Engineering and Technology
Vol. 08  No. 03 ( 2019 ), Article ID: 30689 , 7 pages
10.12677/MET.2019.83029

Design of Involute Drawing Plotter

Xingyu Liu, Xuebin Zhang

School of Materials Science and Engineering, Hefei University of Technology, Hefei Anhui

Received: May 19th, 2019; accepted: June 3rd, 2019; published: June 10th, 2019

ABSTRACT

Aiming at the problem of involute drawing in engineering drawing class and related design drawing, an involute plotter is designed according to the generating principle of involute, and the design of the plotting tracks and key parts is studied. The plotter is mainly composed of gear and rack transmission mechanical system, centering device, and drawing device. By adjusting the centering device and the initial position of rack, the involute with different base circles and different starting positions can be drawn. The plotter has the advantages of simple structure, convenient carrying and high drawing precision. It is a powerful tool in the teaching of involute gear design and drawing.

Keywords:Engineering Drawing, Plotter, Involute, Structural Design

1. 引言

2. 渐开线绘图仪的工作原理

2.1. 渐开线的产生原理

2.2. 渐开线绘图仪的结构原理

1-定心装置；2-径向杆；3-齿轮；4-齿轮；5-齿条；6-齿轮；7-短轴；8-滚动论；9-手持盒

Figure 1. Axis profile diagram of plotter

5-齿条；10-粉笔；11-笔夹

Figure 2. Cross section diagram of plotter

3. 绘图轨迹计算

Figure 3. Geometric relation diagram of plotter

$x0=R\cdot \mathrm{sin}\left(\theta \right)$ (1)

$y0=R\cdot \mathrm{cos}\left(\theta \right)$ (2)

(3)

$x1=d0\cdot \mathrm{sin}\left(\theta \right)-L\cdot \mathrm{cos}\left(\theta \right)$ (4)

$y1=d0\cdot \mathrm{cos}\left(\theta \right)+L\cdot \mathrm{sin}\left(\theta \right)$ (5)

Figure 4. Drawing trajectory calculation

4. 渐开线绘图仪的结构设计

4.1. 齿轮传动部分设计

Table 1. Design parameters of gear transmission

Figure 5. Rolling wheel gear pair

Figure 6. Duplex gear

Figure 7. Rack structure

4.2. 径向轴及圆心定位装置设计

2-径向杆；12-手柄；13-支架；14-定心针

Figure 8. Centering device structure

4.3. 笔架部分设计

5-齿条；15-阶梯轴；16-笔夹；17-紧固箍；18绘图笔

Figure 9. Drawing pen fixing device

5. 虚拟样机的制作

(a) (b) (c)

Figure 10. Virtual prototype of involute plotter

6. 结论

1) 渐开线绘图仪实现工具绘制渐开线，改变现有手描方法绘制的缺陷，且绘图步骤简单、方便快捷、精确度高，是教学和学习的理想绘图工具。

2) 通过原理设计、轨迹计算和虚拟样机，对设计原理进行了验证，所设计绘图仪结构简单，使用方便，可绘制双向的渐开线。

Design of Involute Drawing Plotter[J]. 机械工程与技术, 2019, 08(03): 231-237. https://doi.org/10.12677/MET.2019.83029

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