Table 3 Error motion screws of each axis of the CNC machine tool.

X-axis

[\({\delta _{x\text{X}}}\) 0 0 \({\varepsilon _{\alpha \text{X}}}\) 0 0]

[0 \({\delta _{y\text{X}}}\) 0 0 \({\varepsilon _{\beta \text{X}}}\) 0]

[0 0 \({\delta _{z\text{X}}}\) 0 0 \({\varepsilon _{\gamma \text{X}}}\)]

Y-axis

[\({\delta _{x\text{Y}}}\) 0 0 \({\varepsilon _{\alpha \text{Y}}}\) 0 0]

[0 \({\delta _{y\text{Y}}}\) 0 0 \({\varepsilon _{\beta \text{Y}}}\) 0]

[0 0 \({\delta _{z\text{Y}}}\) 0 0 \({\varepsilon _{\gamma \text{Y}}}\)]

Z-axis

[\({\delta _{x\text{Z}}}\) 0 0 \({\varepsilon _{\alpha \text{Z}}}\) 0 0]

[0 \({\delta _{y\text{Z}}}\) 0 0 \({\varepsilon _{\beta \text{Z}}}\) 0]

[0 0 \({\delta _{z\text{Z}}}\) 0 0 \({\varepsilon _{\gamma \text{Z}}}\)]

A-axis

[\({\delta _{x\text{A}}}\) 0 0 \({\varepsilon _{\alpha \text{A}}}\) 0 0]

[0 \({\delta _{y\text{A}}}\) 0 0 \({\varepsilon _{\beta \text{A}}}\) 0]

[0 0 \({\delta _{z\text{A}}}\) 0 0 \({\varepsilon _{\gamma \text{A}}}\)]

B-axis

[\({\delta _{x\text{B}}}\) 0 0 \({\varepsilon _{\alpha \text{B}}}\) 0 0]

[0 \({\delta _{y\text{B}}}\) 0 0 \({\varepsilon _{\beta \text{B}}}\) 0]

[0 0 \({\delta _{z\text{B}}}\) 0 0 \({\varepsilon _{\gamma \text{B}}}\)]