外文文献(零传动滚齿机滚刀架进给部件设计)

外文文献(零传动滚齿机滚刀架进给部件设计)

Copyright © 1997 by ASME

外文文献(零传动滚齿机滚刀架进给部件设计)

Similarly, the locus and unit normal of the hob cutter, represented in coordinate system S,, which is attached to the work piece, can be obtained by applying the following matrix transformation equations:

=[M A[Mf,-][M. ]<

=[M,,]<

>,

(6)

and

=[L f][Ljr][U] 1

<

nyi, n,i,

}=[L,,]< 1

(7)

1

where vector transformation matrix[Lpf] can be obtained by deleting the last row and last column of matrix[M,,/] expressed in equation (3).Fig. 1 A scliematic drawing of 6-axis CNC hobbing machines

Relative Velocity Between Hob Cutter and Work Piece dinate transformation matrix equations. The transformation matrix[My] transforms the coordinates from coordinate system Sj(Xj, Yj, Zj) to Si{X,, Fj, Zj). Based on the relationship in Fig. 2, matrices[M,*],[M/-r], and[M,,/] can be represented as follows: cos (f),, -sin (ph 0 0 sin 0;, cos<l>h 0 0 0 0 1

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