1、Dim Yy1 As SingleDim Start1 As Single 第一段圆弧起始弧度Dim End1 As Single 第一段圆弧结束弧度Dim Start2 As Single 第二段圆弧起始弧度Dim End2 As Single 第二段圆弧结束弧度Const Pi = 3.1415926Private Sub Command1_Click()Picture1.Cls 清除picturebox控件中的内容Picture1.DrawWidth = 1X0 = Val(Split(Text1.Text, ,)(0) 将文本框中的文本从逗号分离并转化成数值Y0 = Val(Split
2、(Text1.Text, )(1)X1 = Val(Split(Text2.Text, )(0)Y1 = Val(Split(Text2.Text, X2 = Val(Split(Text3.Text, Y2 = Val(Split(Text3.Text, I1 = Val(Itext1.Text) 取圆心相对圆弧起点坐标J1 = Val(Jtext1.Text)I2 = Val(Itext2.Text)J2 = Val(Jtext2.Text)R1 = Sqr(I1 * I1 + J1 * J1) 计算第一段圆弧半径If Not Option1.Value Then R1 = -R1 通过确
3、定顺圆逆圆判断半径符号R2 = Sqr(I2 * I2 + J2 * J2) 计算第二段圆弧半径If Not Option3.Value Then R2 = -R2 r = Val(rText.Text) 取刀具半径If Not Option5.Value Then r = -r 通过确定左刀补右刀补判断刀具半径符号=画动态坐标系=Dim t1 As Single 取出X最大值Dim t2 As Single 取出X最小值Dim t3 As Single 取出Y最大值Dim t4 As Single 取出Y最小值t1 = X0t2 = X0t3 = Y0t4 = Y0If t1 X1 Then
4、 t2 = X1 X2 Then t2 = X2If t3 Y1 Then t4 = Y1 Y2 Then t4 = Y2 t3 Then t1 = t3 t4 Then t2 = t4Dim m As SingleIf Abs(R1) Abs(R2) Then m = Abs(R2)Else m = Abs(R1)End Ift1 = t1 + Abs(r) + m 坐标轴对圆弧和刀补轨迹留有余量t2 = t2 - Abs(r) - mPicture1.Scale (t2, t1)-(t1, t2) 设定picturebox左上角右下角坐标值Picture1.Line (t2, 0)-(t1
5、, 0), vbRed 画X轴Picture1.Line (0, t2)-(0, t1), vbRed 画Y轴Dim I As IntegerDim Ts1 As IntegerDim Ts2 As IntegerTs1 = Fix(t2)Ts2 = Fix(t1)For I = Ts1 To Ts2 Step 1 Picture1.Line (I, -0.2)-(I, 0.2), vbRed 画X轴竖线 Picture1.CurrentY = -0.2 Picture1.Print I 打印刻度值 Picture1.Line (-0.2, I)-(0.2, I), vbRed 画Y轴横线 P
6、icture1.CurrentX = -0.5Next IPicture1.CurrentX = Ts2 - 1Picture1.CurrentY = -1Picture1.Print X 标上XPicture1.CurrentX = -1Picture1.CurrentY = Ts2 - 1Y标上YPicture1.Line (t1 - 0.3, -0.3)-(t1, 0), vbRed 画箭头Picture1.Line (t1 - 0.3, 0.3)-(t1, 0), vbRedPicture1.Line (-0.3, t1 - 0.3)-(0, t1), vbRedPicture1.Li
7、ne (0.3, t1 - 0.3)-(0, t1), vbRed=End SubPrivate Sub Command2_Click()Picture1.DrawWidth = 2 线宽OX1 = I1 + X0 圆心实际坐标OY1 = J1 + Y0OX2 = I2 + X1OY2 = J2 + Y1Dim tt As SingleXx1 = -I1 圆弧起点相对圆心坐标Yy1 = -J1Start1 = hudu(Xx1, Yy1) 第一段圆弧起点对应弧度Xx1 = X1 - OX1 圆弧终点相对圆心坐标Yy1 = Y1 - OY1End1 = hudu(Xx1, Yy1) 第一段圆弧终
8、点对应弧度If Option1.Value Then 画图时如果是顺圆,起点与终点弧度调换 tt = Start1 Start1 = End1 End1 = ttIf End1 Start1 Then 圆弧经过X轴正方向Picture1.Circle (OX1, OY1), Abs(R1), , Start1, 2 * Pi, 624 / 697Picture1.Circle (OX1, OY1), Abs(R1), , 0, End1, 624 / 697Else 圆弧不经过X轴正方向Picture1.Circle (OX1, OY1), Abs(R1), , Start1, End1, 6
9、24 / 697Xx1 = -I2 Yy1 = -J2 Start2 = hudu(Xx1, Yy1) 第二段圆弧起点对应弧度Xx1 = X2 - OX2Yy1 = Y2 - OY2End2 = hudu(Xx1, Yy1) 第二段圆弧终点对应弧度If Option3.Value Then tt = Start2 Start2 = End2 End2 = ttIf End2 Start2 Then Picture1.Circle (OX2, OY2), Abs(R2), , Start2, 2 * Pi, 624 / 697Picture1.Circle (OX2, OY2), Abs(R2)
10、, , 0, End2, 624 / 697Picture1.Circle (OX2, OY2), Abs(R2), , Start2, End2, 624 / 697Picture1.Circle (3, 4), 5=弧度计算函数=Function hudu(ByVal m As Single, ByVal n As Single) As SingleDim k As SingleIf m 0 Then 斜率存在时 k = n / m If m = 0 And n = 0 Then hudu = Atn(k)= 0 And n 0 Then hudu = Atn(k) + 2 * Pi If
11、 m = 0 Then hudu = Atn(k) + Pi 0 And n = 0 Then hudu = Pi / 2 Else hudu = Pi / 2 + Pi End IfEnd Function=刀补运算=Private Sub Command3_Click()Dim X01 As Single 圆心相对圆弧交接点坐标Dim Y01 As SingleDim X02 As SingleDim Y02 As SingleDim Xl1 As Single 圆弧在交接点处的方向矢量Dim Yl1 As SingleDim Xl2 As SingleDim Yl2 As SingleX
12、01 = X0 + I1 - X1Y01 = Y0 + J1 - Y1X02 = I2Y02 = J2Xl1 = -Y01 / R1Yl1 = X01 / R1Xl2 = -Y02 / R2Yl2 = X02 / R2Dim Cases As Single Dim Xs1 As Single 转接点坐标 Dim Ys1 As Single Dim Xs2 As Single Dim Ys2 As Single Dim Xs3 As Single Dim Ys3 As Single Dim Xs4 As Single Dim Ys4 As Single Dim Xl As Single 书上公式
13、中的变量 Dim Yl As Single Dim D1 As Single Dim D2 As Single Dim Fs As Single Dim k As Single 中间变量 Dim s As Single Dim Ss As Single Dim Mmx As Single Dim Mmy As Single Dim Mma As Single Dim Flag1 As Boolean Dim Flag2 As Boolean Dim tt As Single Cases = Sgn(r) * (Yl2 * Xl1 - Xl2 * Yl1)If Cases 0 Then=缩短型=
14、MATLAB中得到的两圆交点公式 k = (R1 2 + 4 * R1 * r + 2 * R1 * R2 - OY2 2 - OX1 2 - OY1 2 - OX2 2 + 4 * R2 * r + 2 * OY1 * OY2 + R2 2 + 4 * r 2 + 2 * OX2 * OX1) s = (-OY2 2 - OY1 2 + 2 * OY1 * OY2 + 2 * OX2 * OX1 - 2 * R1 * R2 + R1 2 + R2 2 - OX1 2 - OX2 2) Ss = -2 * OY2 * OY1 * OX2 2 + OX2 2 * OY2 2 + OY1 * (-
15、(OX1 - OX2) 2 * (-OY2 2 - OY1 2 + 2 * OY1 * OY2 + 2 * OX2 * OX1 - 2 * R1 * R2 + R1 2 + R2 2 - OX1 2 - OX2 2) * (R1 2 + 4 * R1 * r + 2 * R1 * R2 - OY2 2 - OX1 2 - OY1 2 - OX2 2 + 4 * R2 * r + 2 * OY1 * OY2 + R2 2 + 4 * r 2 + 2 * OX2 * OX1) (1 / 2) + 2 * OY2 * OX1 2 * OY1 + 2 * OX2 * OX1 * R2 2 - 2 *
16、OX2 * OX1 * R1 2 - 2 * OX2 2 * R2 * r + 2 * R1 * r * OX2 2 - 2 * OX1 2 * R2 * r + 2 * OX1 2 * R1 * r - 4 * OX2 * OX1 * R1 * r + 4 * OX2 * OX1 * R2 * r + R1 2 * OX1 2 + R1 2 * OX2 2 - OX1 2 * OY1 2 - OX1 2 * R2 2 - OX1 2 * OY2 2 + OY1 2 * OX2 2 - R2 2 * OX2 2 - OX1 4 + OX2 4 + 2 * OX2 * OX1 3 - 2 * O
17、X2 3 * OX1 - OY2 * (-(OX1 - OX2) 2 * s * k) (1 / 2) Mmx = -1 / 2 * Ss / (-2 * OX2 * OX1 - 2 * OY1 * OY2 + OX1 2 + OY1 2 + OX2 2 + OY2 2) / (OX1 - OX2) Mmy = -1 / 2 * (-R1 2 * OY2 - OY1 3 - OX1 2 * OY2 + 2 * OY2 * R2 * r + 2 * OX2 * OX1 * OY1 + 2 * OX2 * OX1 * OY2 - 2 * OY2 * R1 * r - 2 * OY1 * R2 *
18、r + 2 * OY1 * R1 * r + R1 2 * OY1 - OY1 * OX2 2 - OX1 2 * OY1 + OY1 2 * OY2 - OY1 * R2 2 - OY2 * OX2 2 + OY1 * OY2 2 + OY2 * R2 2 - OY2 3 - (-(OX1 - OX2) 2 * (-OY2 2 - OY1 2 + 2 * OY1 * OY2 + 2 * OX2 * OX1 - 2 * R1 * R2 + R1 2 + R2 2 - OX1 2 - OX2 2) * (R1 2 + 4 * R1 * r + 2 * R1 * R2 - OY2 2 - OX1
19、2 - OY1 2 - OX2 2 + 4 * R2 * r + 2 * OY1 * OY2 + R2 2 + 4 * r 2 + 2 * OX2 * OX1) (1 / 2) / (-2 * OX2 * OX1 - 2 * OY1 * OY2 + OX1 2 + OY1 2 + OX2 2 + OY2 2) Xx1 = Mmx - OX1 Yy1 = Mmy - OY1 Mma = hudu(Xx1, Yy1) If End1 判断该点是否满足第一段圆弧 If Mma End1 Then Flag1 = False Flag1 = True If Mma Start1 And Mma Xx1
20、 = Mmx - OX2 Yy1 = Mmy - OY2 If End2 End2 Then Flag2 = False Flag2 = True Start2 And Mma If Flag1 And Flag2 Then 判断得到的点是否满足条件 Xs1 = Mmx Ys1 = Mmy k = R1 2 + 4 * R1 * r + 2 * R1 * R2 - OY2 2 - OX1 2 - OY1 2 - OX2 2 + 4 * R2 * r + 2 * OY1 * OY2 + R2 2 + 4 * r 2 + 2 * OX2 * OX1 s = -(OX1 - OX2) 2 * (-O
21、Y2 2 - OY1 2 + 2 * OY1 * OY2 + 2 * OX2 * OX1 - 2 * R1 * R2 + R1 2 + R2 2 - OX1 2 - OX2 2) Ss = (-2 * OY2 * OY1 * OX2 2 + OX2 2 * OY2 2 - OY1 * (-(OX1 - OX2) 2 * (-OY2 2 - OY1 2 + 2 * OY1 * OY2 + 2 * OX2 * OX1 - 2 * R1 * R2 + R1 2 + R2 2 - OX1 2 - OX2 2) * (R1 2 + 4 * R1 * r + 2 * R1 * R2 - OY2 2 - O
22、X1 2 - OY1 2 - OX2 2 + 4 * R2 * r + 2 * OY1 * OY2 + R2 2 + 4 * r 2 + 2 * OX2 * OX1) (1 / 2) + 2 * OY2 * OX1 2 * OY1 + 2 * OX2 * OX1 * R2 2 - 2 * OX2 * OX1 * R1 2 - 2 * OX2 2 * R2 * r + 2 * R1 * r * OX2 2 - 2 * OX1 2 * R2 * r + 2 * OX1 2 * R1 * r - 4 * OX2 * OX1 * R1 * r + 4 * OX2 * OX1 * R2 * r + R1
23、 2 * OX1 2 + R1 2 * OX2 2 - OX1 2 * OY1 2 - OX1 2 * R2 2 - OX1 2 * OY2 2 + OY1 2 * OX2 2 - R2 2 * OX2 2 - OX1 4 + OX2 4 + 2 * OX2 * OX1 3 - 2 * OX2 3 * OX1 + OY2 * (s * k) (1 / 2) Mmy = -1 / 2 * (-R1 2 * OY2 - OY1 3 - OX1 2 * OY2 + 2 * OY2 * R2 * r + 2 * OX2 * OX1 * OY1 + 2 * OX2 * OX1 * OY2 - 2 * O
24、Y2 * R1 * r - 2 * OY1 * R2 * r + 2 * OY1 * R1 * r + R1 2 * OY1 - OY1 * OX2 2 - OX1 2 * OY1 + OY1 2 * OY2 - OY1 * R2 2 - OY2 * OX2 2 + OY1 * OY2 2 + OY2 * R2 2 - OY2 3 + (-(OX1 - OX2) 2 * (-OY2 2 - OY1 2 + 2 * OY1 * OY2 + 2 * OX2 * OX1 - 2 * R1 * R2 + R1 2 + R2 2 - OX1 2 - OX2 2) * (R1 2 + 4 * R1 * r + 2 * R1 * R2 - OY2 2 - OX1 2 - OY1 2 - OX2 2 + 4 * R2 * r + 2 * OY1 * OY2 + R2 2 + 4 * r 2 + 2 * OX2 * OX1) (1 / 2) / (-2 * OX2 * OX1 - 2 * OY1 * OY2 + OX1 2 + OY1 2 + OX2 2 + OY2 2)
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