I²。+J²。=R²加工点M相对圆弧有三种情况
! j+ H$ x* e. J! ?8 E在圆弧外:Ii²+Ji²-R²>0
$ v6 O$ n0 ?1 |! g) Y3 v在圆弧上:Ii²+Ji²-R²=0 图5.3
. w# `, N7 J. t# Z1 I9 |在圆弧内:Ii²+Ji²-R²<0
9 D+ b' e' D( \7 S# _程序框图 (数控指令G00/G01 X— Y—) + {, D/ j Q" p8 _, {
取Fi=Ii²+Ji²-R² (偏差判别函数)+ j4 X- |* ?( E! k
规定I象限时内:+Y方向走一步
! v3 d3 F z1 Z: s; H 外、上:-X方向 走一步
. @1 T- K) l6 p% X1 `5 c% I- E-X走一步后:Ii+1=Ii-1 ,Ji+1=Ji " d6 ]# z" @/ h9 O5 M
Fi+1=Ii+1²+Ji+1²-R²=Fi-2Ii+1
9 h/ v1 \8 M% F# K3 x: C1 i+Y走一步后:Ii+1=Ii ,Ji+1=Ji+1" P1 G5 K- l2 @
Fi+1=Fi+2Ji+1
0 N4 y2 J! _' b我们可推导第一象限的顺圆。% N& N+ c2 {# W' |5 X' Y" E
+X走一步后:Ii+1=Ii+1 ,Ji+1=Ji * _, m% \- n/ }0 p3 A( j
Fi+1=Fi+2Ii+1 (5-7)
/ f% }* T: @' w8 s! l-Y走一步后:Ii+1=Ii ,Ji+1=Ji-1
1 g0 g2 e/ ?# E6 G! E) k& _( DFi+1=Fi-2Ji+1 (5-8
" O- r4 c; W3 Y& ^, |0 l |