Software design for spur gear tooth thickness based on MATLAB/GUI

Hong-yan SHI, Xiao-qiang WU, Xiao-min SHAN,Chun YING, Chun-you ZHANG

(College of Mechanical Engineering, Inner Mongolia University for the Nationalities, Tongliao 028000, China)



Software design for spur gear tooth thickness based on MATLAB/GUI

Hong-yan SHI, Xiao-qiang WU, Xiao-min SHAN,Chun YING, Chun-you ZHANG*

(College of Mechanical Engineering, Inner Mongolia University for the Nationalities, Tongliao 028000, China)

As far as the gear measurement and analysis are concerned, the traditional way is to do large amount of calculation by using the artificial evaluation other than commonly used to divide the circular tooth thickness. In order to solve the above problems, this paper developed a straight tooth cylindrical gear tooth thickness calculation software to realize the corresponding computation functions by using the MATLAB/GUI function to add the corresponding controls. The calculation examples have shown that the design and development of this software has a certain practical value.

Spur gear, MATLAB/GUI, Callback function

1 Introduction

Spur gear could transmit motion between two parallel axes with high transmission efficiency, which has a great range of passing power and peripheral speed. It becomes the most widely used transmission mechanism [1-2]. The tooth thickness of other circles outside pitch circle are often used in the analysis and measurement, the traditional calculation method is usually manual calculation, which is error-prone and needs large computation. Therefore, there is a need to develop a specialized computation software. With the development of object-oriented technology, graphical user interface (Graphical User Interfaces, GUI) design becomes more popular [3-7]. GUI design, which is the build-in function in MATLAB, could meet design object of the user through the related graphics capabilities. In this paper, with the GUI function in MATLAB, calculation software for spur gear tooth thickness is developed, which has the powerful computation capabilities and easy-learning characteristic based on the MATLAB.

This paper gives the computational formula for spur gear tooth thickness on the arbitrary circle. Then, a graphical user interface is designed and the program code is written in the appropriate callback function. Based on these characteristics, this software could independently run without the MATLAB environment. Finally, a numerical example is given to verify the correctness of the software design.

2 Calculation of spur gear tooth thickness

According to the literature, it shows that teeth thick of straight teeth cylindrical gear is related with pressure angle and radius of arbitrary circle. As shown in Fig.1, the radius at the pointKisrK, whose pressure angle is:

(1)

Tooth thickness at the pointKis：

(2)

Where,φKis the central angle of both sides of the cylindrical gear tooth profile corresponding pointK.

From Fig.1, it can be seen that the central angleφKcould be expressed as follows:

(3)

Puttheequation(3)intoequation(2),thetooththicknessofarbitrarycircleoncylindricalgearcouldbeexpressedasfollows:

(4)

Fig.1 Tooth thickness of arbitrary circle

3 Software interface design

The graphical user interface (GUI) refers to a man-machine interface which consists of windows, menus, graphics, buttons, dialog boxes and text boxes, and other graphic objects. By selecting, activating graphic above-mentioned objects, it could make the computer generate the corresponding action or change. Basic graphical objects could be divided into the control objects and menu objects, referred as the controls and menus for short[5]. Controls used in this software interface design consist of text editor, static text boxes and buttons.

Graphical user interface design window in the MATLAB is shown in Fig.2. Desired controls are dragged into the blank panel and named to obtain the software interface as shown in Fig.3. Then the appropriate parameters are required to enter into the dynamic input box on the left. By clicking the calculation button, the program calls the input parameters to calculate and display the calculation results in the right side of the text box.

Fig.2 GUI design interface

Fig.3 Calculation software interface

4 The generation of standalone application

The above-designed calculation software is developed in the MATLAB environment and could only run in the MATLAB environment, which greatly limits the use of this software. In this paper, the correlation functions in MATLAB are used to generate a program which can independently run without MATLAB environment.

The steps of generation stand-alone application are as follows:

1) Install the compiler. Enter mbuild-setup in MATLAB, then select the compiler, as shown in Fig.4.

Fig.4 install the compiler

2) Call MATLAB Compiler toolbox, as shown in Fig 5. Use Compiler toolbox to generate a window of generation stand-alone application, as shown in Fig 6.

Fig.5 Compiler toolbox

Fig.6 The window of generating standalone application

3) Click Add main file in the window of Windows Stand-alone Application shown in Fig.7, and add the M program written in MATLAB into the window, then click the first button on the top right corner to generate the exe files.

Fig.7 Add M-files

4) Finally package the obtained exe files with MATLAB self-bring “MCRinstaller.exe” together, and first install MCRinstaller.exe on the computer where MATLAB is not installed, then run the calculation software. This method could make the application runs independently without the MATLAB environment on any computers.

5 Calculation example

Take a spur gear for example, the specific geometric parameters are shown in Table 1. According to the calculation software, an arbitrary location is selected to calculate.

Table 1 Spur gear parameters

ModulemNumberofteethZPressureangleαAddendumcoefficient32520°1

The parameters above are entered into the corresponding position in the software. Take the calculation of addendum circle and pitch circle tooth thickness for example, the calculation result is shown in Fig.8 and Fig.9.

Fig.8 Calculation result of tooth thickness of addendum circle

Fig.9 Calculation result of tooth thickness of pitch circle

Manually calculate the tooth thickness of the addendum circle and pitch circle is as follows:

sa=2.159mm

The calculation result is exactly the same as the result of software, which proves the correctness of this software. In addition, the software could also integrate a calculator function, which is convenient for the calculation of user, as shown in Fig.10.

Fig.10 Calculator

6 Conclusion

In this paper, through MATLAB/GUI, a spur gear tooth thickness calculation software is designed and developed to make the tooth thickness calculation simple, accurate and easy to operate. In addition, with this design method software development cycle could be decreased, which has a certain significance to other software design.

Acknowledgements

This paper is supported by National Natural Science Foundation of China (6144041).

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基于MATLAB/GUI的直齿圆柱齿轮齿厚计算软件设计

侍红岩，吴晓强，单晓敏，迎春，张春友*

内蒙古民族大学 机械工程学院， 内蒙古 通辽028000

在齿轮的测量和进一步的分析中，常用到分度圆以外的其他圆上的齿厚，传统的方法就是通过人工进行计算，计算量大，且易出错。为了解决以上问题，利用MATLAB/GUI功能，开发直齿圆柱齿轮齿厚计算软件，在MATLAB/GUI添加相应的控件，并在相应的回调函数中编写程序，以实现相应的计算功能。计算实例表明：本文设计开发的计算软件具有一定的实用价值。

直齿圆柱齿轮；MATLAB/GUI；回调函数

25 November 2014; revised 9 Feburary 2015;

Chun-you ZHANG,

E-mail: wangzai8402@163.com

10.3969/j.issn.1001-3881.2015.18.015 Document code: A

TH132.417

accepted 12 March 2015

Hydromechatronics Engineering

http://jdy.qks.cqut.edu.cn

E-mail: jdygcyw@126.com