Error Distribution of a 5-Axis Measuring Machine Based on Sensitivity Analysis of Geometric Errors

Table 1

Geometric errors of the 5-axis measuring machine.

Axis	Error components	Error labels
Z-axis	δzx, δzy, δzz, θzx, θzy, θzz	h1, h2, h3, h4, h5, h6
Y-axis	δyx, δyy, δyz, θyx, θyy, θyz	h7, h8, h9, h10, h11, h12
C-axis	δcx, δcy, δcz, θcx, θcy, θcz	h15, h16, h17, h18, h19, h20
X-axis	δxx, δxy, δxz, θxx, θxy, θxz	h23, h24, h25, h26, h27, h28
B-axis	δbx, δby, δbz, θbx, θby, θbz	h30, h31, h32, h33, h34, h35
Squareness errors	βyz, βyx, βcx, βcy, βzx, βbx, βbz	h13, h14, h21, h22, h29, h36, h37

where delegates the linear errors, delegates the angular errors, the left subscript m delegates the kinematic axis while the right subscript n delegates the direction of linear error or the rotational axis of the angular error, and β_mn delegates the squareness errors of m axis to n axis, respectively.