渐开线花键设计、建模及制图This article teaches you how to design, model, and make involute splines

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1.花键的基本概念及应用领域 1. The basic concept and application field of spline
花键是一种机械传动元件,通常用于传递旋转运动和扭矩。它由一系列均匀分布的键齿组成,这些键齿沿着轴的圆周方向排列。
A spline is a mechanical transmission element that is typically used to transmit rotational motion and torque. It consists of a series of evenly spaced key teeth that are arranged along the circumferential direction of the shaft.
花键的主要特点包括: Key features of splines include:
1)高扭矩传递能力:花键的键齿可以提供较大的接触面积,从而能够传递更高的扭矩。
1) High torque transmission capacity: The key teeth of the spline can provide a large contact area, so that it can transmit higher torque.
2)精度和可靠性:花键的键齿形状和尺寸精度高,能够确保传动的精度和可靠性。
2) Accuracy and reliability: The shape and size accuracy of the key teeth of the spline are high, which can ensure the accuracy and reliability of the transmission.
3)可轴向滑动:花键可以在轴向上滑动,这使得花键连接具有一定的轴向调节能力。
3) Axially sliding: The spline can slide axially, which makes the spline connection have a certain axial adjustment ability.
4)容易装配和拆卸:花键的键齿设计使得装配和拆卸更加容易,方便维护和更换。
4) Easy to assemble and disassemble: The key tooth design of the spline makes assembly and disassembly easier, and it is convenient for maintenance and replacement.
花键常用于汽车、机械、航空航天等领域,如汽车变速箱、传动轴、机床主轴等都可能使用花键来实现动力传递。根据形状和齿形的不同,花键可以分为矩形花键、渐开线花键、三角形花键等多种类型。
Splines are often used in automobiles, machinery, aerospace and other fields, such as automotive gearboxes, transmission shafts, machine tool spindles, etc., splines may be used to achieve power transmission. According to the different shapes and tooth shapes, splines can be divided into various types such as rectangular splines, involute splines, triangular splines, etc.
在设计和制造机械传动装置时,渐开线花键是一种非常重要的零件。它可以实现高精度的传动,并且具有耐磨、强度高的特点。在这篇文章中,我们将介绍渐开线花键的设计、建模和制图过程。
When designing and manufacturing mechanical transmissions, involute splines are a very important part. It can achieve high-precision transmission, and has the characteristics of wear resistance and high strength. In this article, we’ll cover the design, modeling, and drafting process of involute splines.
花键的标准有很多,国内最常用的是GBT3478和德标DIN5480/5482。这里以GB/T3478中模数为3,齿数为27的30°圆齿根渐开线花键为例,讲述一下花键的尺寸计算及建模过程。公众号《机械工程文萃》,工程师的加油站!
There are many standards for splines, and the most commonly used ones in China are GBT3478 and German standard DIN5480/5482. Here we take the 30° round tooth root involute spline in GB/T3478 with modulus of 3 and 27 teeth as an example to describe the size calculation and modeling process of the spline. The public account “Mechanical Engineering Wencui”, the engineer’s gas station!
渐开线花键设计、建模及制图This article teaches you how to design, model, and make involute splines

图 1-1 30°圆弧齿根渐开线花键齿形 Figure 1-1 Involute spline tooth shape of a 30° arc tooth root

2.花键尺寸计算 2. Spline size calculation
齿数:z=27 Number of teeth: z=27
模数:m=3 Modulus: m=3
齿距:p=pi()*m=9.425 Pitch: p=pi()*m=9.425
分度圆弧齿厚:S=0.5*p=4.7124 Indexing arc tooth thickness: S=0.5*p=4.7124
实际齿厚最小值:Smin=S-(T+λ)=S-0.139
The minimum value of actual tooth thickness: Smin=S-(T+λ)=S-0.139
压力角:α=30° Pressure angle: α=30°
花键分度圆直径:d=m*z=81 Spline indexing circle diameter: d=m*z=81
花键基圆直径:db=d*cos(α)=83.1384
Spline base circle diameter: db=d*cos(α)=83.1384
系数:Cf=0.1*m=0.3 Coefficient: Cf=0.1*m=0.3
外花键大径:Dee=m*(z+1)=99 Outer spline diameter: Dee=m*(z+1)=99
外花键小径:Die=m*(z-1.8)=90.6 Outer spline trail: Die=m*(z-1.8)=90.6
齿根圆角半径:ρfe=0.4*m=1.2 Radius of tooth root fillet: ρfe=0.4*m=1.2
3.UG建模过程 3.UG modeling process
3.1.将上述计算过程输入到UG表达式中,如下图:
3.1. Enter the above calculation process into the UG expression, as shown in the following figure:
渐开线花键设计、建模及制图This article teaches you how to design, model, and make involute splines

图 3-1 外花键参数化建模表达式 Figure 3-1 Parametric modeling expression for external splines

3.2.创建规律曲线 3.2. Create regular curves
渐开线花键设计、建模及制图This article teaches you how to design, model, and make involute splines

图 3-2 创建渐开线曲线 Figure 3-2 Creating an Involute Curve

3.3.创建单个花键齿 3.3. Create a single spline tooth
这里包括齿根圆、分度圆、齿顶圆,其中需要约束分度圆上的弧齿厚等于Smin
This includes the tooth root circle, the indexing circle, and the tooth top circle, where the arc tooth thickness on the indexing circle needs to be constrained to be equal to Smin
拉伸轮廓,创建单个齿形,如下: Extrude the profile to create a single tooth profile as follows:
渐开线花键设计、建模及制图This article teaches you how to design, model, and make involute splines
图 3-3 创建渐开线齿廓 Figure 3-3 Creating an Involute Profile
渐开线花键设计、建模及制图This article teaches you how to design, model, and make involute splines

图 3-4 拉伸创建单个花键齿 Figure 3-4 Extrudes to create a single spline tooth

3.4.阵列创建其他花键齿 3.4. The pattern creates additional spline teeth

数量选择“公式”→“Z(花键齿数)” Quantity selection “Formula” → “Z (number of spline teeth)”

渐开线花键设计、建模及制图This article teaches you how to design, model, and make involute splines

图 3-5 阵列剩余花键齿 Figure 3-5 Remaining spline teeth in the array

3.5.以花键齿根圆为外径,创建拉伸创建一个圆柱体
3.5. Create an extrusion to create a cylinder with the spline root circle as the outer diameter

渐开线花键设计、建模及制图This article teaches you how to design, model, and make involute splines

图 3-6 创建外花键内部圆柱体 Figure 3-6 Creating an Outer Splined Inner Cylinder

3.6.将轮齿与圆柱体合并为一个体 3.6. Merge the teeth with the cylinder into one body

渐开线花键设计、建模及制图This article teaches you how to design, model, and make involute splines

图 3-7 合并花键齿与圆柱体 Figure 3-7 Merging a spline tooth with a cylinder

3.7.创建其他相关结构 3.7. Create other related structures

最终完成花键如下图所示 The final finished spline is shown in the figure below

渐开线花键设计、建模及制图This article teaches you how to design, model, and make involute splines

图 3-8 外花键最终模型 Figure 3-8 Final model of external splines

4.内花键 4. Internal spline
内花键的创建方法大致相同,其基本参数如下: The inner spline is created in much the same way, and its basic parameters are as follows:

渐开线花键设计、建模及制图This article teaches you how to design, model, and make involute splines

图 4-1 内花键参数化建模表达式 Figure 4-1 Parametric modeling expression for internal splines

最后模型如下图所示: The final model is shown in the following figure:

渐开线花键设计、建模及制图This article teaches you how to design, model, and make involute splines

图 4-2 内花键最终模型 Figure 4-2 Final model of internal splines

5.花键工程制图 5. Spline engineering drawing

内外花键的工程制图如下,供参考: The engineering drawings of internal and external splines are as follows for reference:

渐开线花键设计、建模及制图This article teaches you how to design, model, and make involute splines

图 5-1 外花键工程图纸 Figure 5-1 Drawing of an external spline

渐开线花键设计、建模及制图This article teaches you how to design, model, and make involute splines
图 5-2 内花键工程图纸 Figure 5-2 Internal spline drawing drawing

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