3. Example of an AC machine with cardanic table

Example

example

AC machine with workpiece table

Universal Kinematics (ID91) can also be used to map kinematic transformations which are not contained in the kinematics library.

Kinematics of 5-axis machine with AC workpiece table
Kinematics of 5-axis machine with AC workpiece table
Detailed view of the workpiece table
Detailed view of the workpiece table

The depicted AC machine with workpiece table shows the linear axes on the tool side and the rotary axes on the workpiece side (as rotators in the tool table). The axes are located in the sequence along the path from the workpiece to the machine origin and from there to

C, A, X, Y, Z

the tool tip. This is the axis sequence in the kinematic chain. However, it must be noted that the orientation vector must be multiplied by -1 for every axis that is located on the workpiece side. This is a possible configuration of the cardanic AC machine:

Configuration of an AC machine with workpiece table:

# Zero orientation of the tool

# Tool points in Z direction

kinematik[91].zero_orientation[0]    0

kinematik[91].zero_orientation[1]    0

kinematik[91].zero_orientation[2]    1

# Zero position of the tool

# Tool rests at point (12000, -3200, 500)

kinematik[91].zero_position[0]       12000

kinematik[91].zero_position[1]       -3200

kinematik[91].zero_position[2]         500

# CA programming mode

kinematik[91].programming_mode          17

# Activate RTCP mode

kinematik[91].rtcp                      1

# Define X axis (index 0)

kinematik[91].axis[0].type              1

kinematik[91].axis[0].orientation[0]    1

kinematik[91].axis[0].orientation[1]    0

kinematik[91].axis[0].orientation[2]    0

#…

# Define Y axis (index 1)

kinematik[91].axis[1].type              1

kinematik[91].axis[0].orientation[0]    0

kinematik[91].axis[1].orientation[1]    1

kinematik[91].axis[1].orientation[2]    0

#…

# Define Z axis (index 2)

kinematik[91].axis[2].type              1

kinematik[91].axis[0].orientation[0]    0

kinematik[91].axis[2].orientation[1]    0

kinematik[91].axis[2].orientation[2]    1

#…

# define C axis (index 3)

kinematik[91].axis[3].type              2

kinematik[91].axis[0].orientation[0]    0

kinematik[91].axis[3].orientation[1]    0

kinematik[91].axis[3].orientation[2]    -1 # inverted

#…

# Define A axis (index 4) cardanic angle 45 degrees

kinematik[91].axis[4].type              2

kinematik[91].axis[4].orientation[0]    -1 # inverted

kinematik[91].axis[4].orientation[1]    0

kinematik[91].axis[4].orientation[2]    -1 # inverted

#…

# Sequence in kin. chain: CAXYZ

kinematik[91].chain[0]                  3 # C axis

kinematik[91].chain[1]                  4 # A axis

kinematik[91].chain[2]                  0 # X axis

kinematik[91].chain[3]                  1 # Y axis

kinematik[91].chain[4] 2 # Z axis