【VB+数控原理与系统】数控原理与系统课程设计刀具半径补偿直线-

本课题是刀具半径补偿的直线-直线软件实现，是南京工程学院数控专业的数控原理与系统的课程设计，整个工程都是自己随便弄弄的，作为课设作业还算比较严谨吧。题目不难，具体的直线-直线的刀具补偿原理，见机械工业出版社出版的汪木兰主编的《数控原理与系统》的P56~P59，这里不再赘述，具体的代码贴在下边，另外附件中有zip包附带整个工程文件（界面、工程、代码）。具体实现都很简单，因为学期末了，找工作的找工作，考研复试的复试，大多都没兴趣好好弄了，在这里贴上来方便大家交差把。

具体思路稍微一提，对给定的直线的3个点，首先在界面中选择刀补阶段，到底是刀补建立，还是刀补进行，还是刀补撤销，进一步通过直线投影判断两直线夹角，分为伸长型，缩短型，插入型三种情况，分别予以讨论，计算出补偿后的刀具轨迹，然后加以在PICTUREbox中显示。

VB工程代码：

Public X0 As Double,Y0 As Double,X1 As Double,Y1 As Double,X2 As Double,Y2 As Double,R As Double
Public Xs1 As Double,Ys1 As Double,Xs2 As Double,Ys2 As Double
Public Ori As Integer
Public Xl1 As Double,Yl1 As Double,Xl2 As Double,Yl2 As Double,dX1 As Double,dY1 As Double,dX2 As Double,dY2 As Double,d1 As Double,d2 As Double

Private Sub Command1_Click()

Dim X1_FWD As Integer,Y1_FWD As Integer,X2_FWD As Integer,Y2_FWD As Integer
Dim alfa As Double,beta As Double

Call PaintAxis

'绘制补偿前图像
Picture1.ForeColor = vbBlue
Picture1.DrawWidth = 1
Picture1.Line (X0,Y0)-(X1,Y1)
Picture1.Line (X1,Y1)-(X2,Y2)

'算法设计

'计算坐标增量
dX1 = X1 - X0
dY1 = Y1 - Y0
dX2 = X2 - X1
dY2 = Y2 - Y1

alfa = Atn(dY1 / dX1)

beta = Atn(dY2 / dX2)

If dX1 >= 0 Then
X1_FWD = 1
Else
X1_FWD = -1
End If

If dX2 >= 0 Then
X2_FWD = 1
Else
X2_FWD = -1
End If

If dY1 >= 0 Then
Y1_FWD = 1
Else
Y1_FWD = -1
End If

If dY2 >= 0 Then
Y2_FWD = 1
Else
Y2_FWD = -1
End If

'计算d1,d2
d1 = Sqr(dX1 ^ 2 + dY1 ^ 2)
d2 = Sqr(dX2 ^ 2 + dY2 ^ 2)
'计算方向矢量投影
Xl1 = dX1 / d1
Yl1 = dY1 / d1
Xl2 = dX2 / d2
Yl2 = dY2 / d2

'判断缩短型,伸长型,插入型


If Ori * (Yl2 * Xl1 - Xl2 * Yl1) >= 0 Then '缩短型
    
    '刀补建立
    If Combo1.ListIndex = 0 And Ori * (Yl2 * Xl1 - Xl2 * Yl1) <> 0 Then
    Xs1 = X1 - R * Ori * Yl2
    Ys1 = Y1 + R * Ori * Xl2
    X_0p.Text = X0
    Y_0p.Text = Y0
    X_s1.Text = Xs1
    Y_s1.Text = Ys1
    X_2p.Text = Xs1 + dX2
    Y_2p.Text = Ys1 + dY2
    
    Picture1.ForeColor = vbMagenta
    Picture1.Line (X0,Y0)-(Xs1,Ys1)
    Picture1.Line (Xs1,Ys1)-(Xs1 + dX2,Ys1 + dY2)
    
    '刀补进行
    ElseIf Combo1.ListIndex = 1 Then
        If Yl2 * Xl1 - Xl2 * Yl1 = 0 Then 'l1与l2共线
        Xs1 = X1 - R * Ori * Yl1
        Ys1 = Y1 + R * Ori * Xl1
        X_0p.Text = Xs1 - dX1
        Y_0p.Text = Ys1 - dY1
        X_s1.Text = Xs1
        Y_s1.Text = Ys1
        X_2p.Text = Xs1 + dX2
        Y_2p.Text = Ys1 + dY2
        
        Picture1.ForeColor = vbMagenta
        Picture1.Line (Xs1 - dX1,Ys1 - dY1)-(Xs1,Ys1)
        Picture1.Line (Xs1,Ys1 + dY2)
        
        Else ' l1与l2不共线
        Xs1 = X1 + (Xl2 - Xl1) * Ori * R / (Xl1 * Yl2 - Xl2 * Yl1)
        Ys1 = Y1 + (Yl2 - Yl1) * Ori * R / (Xl1 * Yl2 - Xl2 * Yl1)
        X_0p.Text = Xs1 - dX1
        Y_0p.Text = Ys1 - dY1
        X_s1.Text = Xs1
        Y_s1.Text = Ys1
        X_2p.Text = Xs1 + dX2
        Y_2p.Text = Ys1 + dY2
        
        Picture1.ForeColor = vbMagenta
        Picture1.Line (Xs1 - dX1,Ys1 + dY2)
        
        End If
    
    '刀补撤销
    ElseIf Combo1.ListIndex = 2 And Ori * (Yl2 * Xl1 - Xl2 * Yl1) <> 0 Then
    Xs1 = X1 - R * Ori * Yl1
    Ys1 = Y1 + R * Ori * Xl1
    X_0p.Text = Xs1 - dX1
    Y_0p.Text = Ys1 - dY1
    X_s1.Text = Xs1
    Y_s1.Text = Ys1
    X_2p.Text = X2
    Y_2p.Text = Y2
    
    Picture1.ForeColor = vbMagenta
    Picture1.Line (Xs1 - dX1,Ys1)-(X2,Y2)
    
    End If




ElseIf Ori * (Yl2 * Xl1 - Xl2 * Yl1) < 0 And (Yl2 * Yl1 + Xl2 * Xl1) >= 0 Then '伸长型
    
    '刀补建立
    If Combo1.ListIndex = 0 Then
        '第一对转接点
        Xs1 = X1 - R * Ori * Yl1
        Ys1 = Y1 + R * Ori * Yl1
        '第二对转接点
        Xs2 = X1 + (Xl2 - Xl1) * R * Ori / (Xl1 * Yl2 - Xl2 * Yl1)
        Ys2 = Y1 + (Yl2 - Yl1) * R * Ori / (Xl1 * Yl2 - Xl2 * Yl1)
        '输出坐标
         'X0',Y0'
        X_0p.Text = X0
        Y_0p.Text = Y0
         'Xs1,Ys1
        X_s1.Text = Xs1
        Y_s1.Text = Ys1
         'Xs2,Ys2
        X_s2.Text = Xs2
        Y_s2.Text = Ys2
         'X2' Y2'
        X_2p.Text = Xs2 + dX2
        Y_2p.Text = Ys2 + dY2
        '绘图
        Picture1.ForeColor = vbMagenta
        Picture1.Line (X0,Ys1)-(Xs2,Ys2)
        Picture1.Line (Xs2,Ys2)-(Xs2 + dX2,Ys2 + dY2)
        
    
    '刀补进行
    ElseIf Combo1.ListIndex = 1 Then
        Xs1 = X1 + (Xl2 - Xl1) * R * Ori / (Xl1 * Yl2 - Xl2 * Yl1)
        Ys1 = Y1 + (Yl2 - Yl1) * R * Ori / (Xl1 * Yl2 - Xl2 * Yl1)
        '输出坐标
          'X0',Ys1
        X_s1.Text = Xs1
        Y_s1.Text = Ys1
         'X2' Y2'
        X_2p.Text = Xs2 + dX2
        Y_2p.Text = Ys2 + dY2
        '绘图
        Picture1.ForeColor = vbMagenta
        Picture1.Line (Xs1 - dX1,Ys1 + dY2)
        
        
    '刀补撤销
    ElseIf Combo1.ListIndex = 2 Then
        Xs1 = X1 + (Xl2 - Xl1) * R * Ori / (Xl1 * Yl2 - Xl2 * Yl1)
        Ys1 = Y1 + (Yl2 - Yl1) * R * Ori / (Xl1 * Yl2 - Xl2 * Yl1)
        Xs2 = X1 - R * Ori * Yl2
        Ys2 = Y1 + R * Ori * Xl2
         '输出坐标
         'X0',Y0'
        X_0p.Text = Xs1 - dX1
        Y_0p.Text = Ys1 - dY1
         'Xs1,Ys2
        X_s2.Text = Xs2
        Y_s2.Text = Ys2
         'X2' Y2'
        X_2p.Text = X2
        Y_2p.Text = Y2
        '绘图
        Picture1.ForeColor = vbMagenta
        Picture1.Line (Xs1 - dX1,Ys2)-(X2,Y2)
        
    End If


ElseIf Ori * (Yl2 * Xl1 - Xl2 * Yl1) < 0 And (Yl2 * Yl1 + Xl2 * Xl1) < 0 Then '插入型

    '刀补建立
    If Combo1.ListIndex = 0 Then
        '第一对转接点
        Xs1 = X1 - R * Ori * Yl1
        Ys1 = Y1 + R * Ori * Xl1
        '第二对转接点
        Xs2 = X1 - Ori * R * Yl1 + R * Xl1
        Ys2 = Y1 + Ori * R * Xl1 + R * Yl1
        '第三对转接点
        Xs3 = X1 - R * Ori * Yl2 - R * Xl2
        Ys3 = Y1 + R * Ori * Xl2 - R * Yl2
        '输出坐标
         'X0',Ys2
        X_s2.Text = Xs2
        Y_s2.Text = Ys2
         'Xs3,Ys3
        X_s3.Text = Xs3
        Y_s3.Text = Ys3
         'X2' Y2'
        X_2p.Text = Xs3 + dX2 + Abs(R * Cos(beta)) * X2_FWD
        Y_2p.Text = Ys3 + dY2 + Abs(R * Sin(beta)) * X2_FWD
        '绘图
        Picture1.ForeColor = vbMagenta
        Picture1.Line (X0,Ys2)-(Xs3,Ys3)
        Picture1.Line (Xs3,Ys3)-(Xs3 + dX2 + Abs(R * Cos(beta)) * X2_FWD,Ys3 + dY2 + Abs(R * Sin(beta)) * Y2_FWD)
        
        
    '刀补进行
    ElseIf Combo1.ListIndex = 1 Then
        '第一对转接点
        Xs1 = X1 - R * Ori * Yl1 + R * Xl1
        Ys1 = Y1 + R * Ori * Xl1 + R * Yl1
        '第二对转接点
        Xs2 = X1 - R * Ori * Yl2 - R * Xl2
        Ys2 = Y1 + R * Ori * Xl2 - R * Yl2
         '输出坐标
         'X0',Y0'
        X_0p.Text = Xs1 - dX1 - Abs(R * Cos(alfa)) * X1_FWD
        Y_0p.Text = Ys1 - dY1 - Abs(R * Sin(alfa)) * Y1_FWD
         'Xs1,Ys2
        X_s2.Text = Xs2
        Y_s2.Text = Ys2
         'X2' Y2'
        X_2p.Text = Xs2 + dX2 + Abs(R * Cos(beta)) * X2_FWD
        Y_2p.Text = Ys2 + dY2 + Abs(R * Sin(beta)) * Y2_FWD
        '绘图
        Picture1.ForeColor = vbMagenta
        Picture1.Line (Xs1 - dX1 - Abs(R * Cos(alfa)) * X1_FWD,Ys1 - dY1 - Abs(R * Sin(alfa)) * Y1_FWD)-(Xs1,Ys2)-(Xs2 + dX2 + Abs(R * Cos(beta)) * X2_FWD,Ys2 + dY2 + Abs(R * Sin(beta)) * Y2_FWD)
        
        
    '刀补撤销
    ElseIf Combo1.ListIndex = 2 Then
        '第一对转接点
        Xs1 = X1 - R * Ori * Yl1 + R * Xl1
        Ys1 = Y1 + R * Ori * Xl1 + R * Yl1
        '第二对转接点
        Xs2 = X1 - R * Ori * Yl2 - R * Xl2
        Ys2 = Y1 + R * Ori * Xl2 - R * Yl2
        '第三对转接点
        Xs3 = X1 - R * Ori * Yl2
        Ys3 = Y1 + R * Ori * Xl2
        '输出坐标
         'X0',Ys3
        X_s3.Text = Xs3
        Y_s3.Text = Ys3
         'X2' Y2'
        X_2p.Text = X2
        Y_2p.Text = Y2
        '绘图
        Picture1.ForeColor = vbMagenta
        Picture1.Line (Xs1 - dX1 - Abs(R * Cos(alfa)) * X1_FWD,Ys3)-(X2,Y2)
        
    End If
End If

End Sub

Private Sub Command2_Click()

Call PaintAxis

End Sub

Private Sub Form_Load()
'补偿后坐标不可编辑，只读
X_0p.Locked = True
Y_0p.Locked = True
X_s1.Locked = True
Y_s1.Locked = True
X_s2.Locked = True
Y_s2.Locked = True
X_2p.Locked = True
Y_2p.Locked = True

'初始化ComboBox 两个
Combo1.AddItem "刀补建立",0
Combo1.AddItem "刀补进行",1
Combo1.AddItem "刀补撤销",2




End Sub

Private Sub Text1_Change()

End Sub

Private Sub Option1_Click()
Ori = 1
End Sub

Private Sub Option2_Click()
Ori = -1
End Sub

Private Sub Picture1_Paint()

Call PaintAxis

End Sub

Private Sub Text9_Change()
R = Val(R_K.Text)
End Sub

Private Sub R_K_Change()
R = Val(R_K.Text)
End Sub

Private Sub X_0_Change()
'赋值坐标
X0 = Val(X_0.Text)
End Sub


Private Sub X_1_Change()
'赋值坐标
X1 = Val(X_1.Text)
End Sub

Private Sub X_2_Change()
'赋值坐标
X2 = Val(X_2.Text)
End Sub

Private Sub Y_0_Change()
'赋值坐标
Y0 = Val(Y_0.Text)
End Sub

Private Sub Y_1_Change()
'赋值坐标
Y1 = Val(Y_1.Text)
End Sub

Private Sub Y_2_Change()
'赋值坐标
Y2 = Val(Y_2.Text)
End Sub

Private Sub PaintAxis()
Cls
Dim i As Integer
Picture1.BackColor = vbWhite
Picture1.ForeColor = vbBlack
Picture1.Scale (-1000,1000)-(1000,-1000)

Picture1.DrawWidth = 2
Picture1.Line (-1000,0)-(1000,0) '画x轴
Picture1.Line (1000,0)-(970,15) '画箭头
Picture1.Line (1000,-15) '画箭头


Picture1.Line (0,-1000)-(0,1000) '画y轴
Picture1.Line (0,1000)-(10,964) '画箭头
Picture1.Line (0,1000)-(-10,964) '画箭头

'画坐标刻度
For i = -10 To 9 Step 1

If i <> 0 Then
Picture1.Line (i * 100,0)-(i * 100,10) 'x轴刻度
Picture1.CurrentX = i * 100 - 52: Picture1.CurrentY = -10: Picture1.Print i * 100 'x轴数字

Picture1.Line (0,i * 100)-(10,i * 100) 'y轴刻度
Picture1.CurrentX = -88: Picture1.CurrentY = i * 100 + 16: Picture1.Print i * 100 'y轴数字
End If
Next i

Picture1.ForeColor = vbRed
Picture1.CurrentX = 10: Picture1.CurrentY = -10: Picture1.Print 0
Picture1.CurrentX = 980: Picture1.CurrentY = -14: Picture1.Print "X"
Picture1.CurrentX = 15: Picture1.CurrentY = 990: Picture1.Print "Y"
Picture1.ForeColor = vbBlack

'显示框清零
X_0p.Text = ""
Y_0p.Text = ""
X_s1.Text = ""
Y_s1.Text = ""
X_s2.Text = ""
Y_s2.Text = ""
X_s3.Text = ""
Y_s3.Text = ""
X_2p.Text = ""
Y_2p.Text = ""




End Sub

图形界面如下图所示：

以下再贴一张运行结果图：

各种情况的运行结果都打包在一个word文档作为附件上传了，有需要可以自己下载。工程也在下边的压缩包

程序运行结果：

http://download.csdn.net/detail/u013926582/9405668

VB全部工程文件：

http://download.csdn.net/detail/u013926582/9405678

可执行文件EXE：

http://download.csdn.net/detail/u013926582/9405694

祝大家学习愉快

（编辑：李大同）

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