KIN_TYP_60 – Cardanic kinematics with C/B head

The kinematic structure consists of 3 translatory and 3 rotary NC axes in the tool. The B axis is arranged about the X axis rotated by an angle!= 90 degrees; the angle is typically between 30 and 60 degrees.

Axis configuration in the NC channel

Axis identifier

X, Y, Z, C, B

Axis index

0, 1, 2, 3, 4

Kinematic structure

 

Tool axes

Workpiece axes

NC axes

X, Y, Z,C,B

-

Cardanic kinematic with CB head
Cardanic kinematic with CB head
Offsets of cardanic CB 5-axis head
Offsets of cardanic CB 5-axis head

Offset data of kinematics

HD offset

param[i]

Description

Unit

HD1

0

Z offset to tool holding device

10 E-4 mm

HD2

1

X offset to tool holding device

10 E-4 mm

HD3

2

Y offset to tool holding device

10 E-4 mm

HD4

3

X offset compensation point (SP) to B axis

10 E-4 mm

HD5

4

Y offset compensation point (SP) to B axis

10 E-4 mm

HD6

5

Z offset compensation point (SP) to B axis

10 E-4 mm

HD7

6

Angle between B axis and Z axis

10 E-4°

HD8

7

X offset B axis to C axis

10 E-4 mm

HD9

8

Y offset B axis to C axis

10 E-4 mm

HD10

9

Z offset B axis to C axis

10 E-4 mm

HD11

10

X offset C axis to machine point M

10 E-4 mm

HD12

11

Y offset C axis to machine point M

10 E-4 mm

HD13

12

Z offset C axis to machine point M

10 E-4 mm

HD14

13

Rotary offset C axis

10 E-4°

HD15

14

Rotary offset B axis

10 E-4°

 

 

 

 

HD21

20

Control flag for rotary axes C and B

    0: Transformation of C and B, default.

    1: C and B are machine angles.

[ - ]

In general the reference point referred to as BRP (rotation point of B axis) wanders to reference point SP, i.e. the vector V3 is 0 and the point SP is located in the tool axis which has the same rotary axis as the C axis. In this case only the parameters L, HD1, HD7 and HD10 are required.

The kinematics can transform a B spatial angle of maximum 2*HD7.

(*) The rotary offsets HS14 and HD 15 only act on the internal kinematic model, i.e. these offsets do not lead to a re-positioning of the cardanic head as for a rotary zero offset and programming of an angle position.

Cardanic head with ideal head geometry (intersection of C and B axis located in tool axis)
Cardanic head with ideal head geometry (intersection of C and B axis located in tool axis)