Table 3 Modal parameters of robots at different positions.

From: Influence of different position modal parameters on milling chatter stability of orthopedic surgery robots

Directions

Positions

Modal frequency (Hz)

Damping ratio (%)

Modal stiffness (× 104 N/m)

xx

1

116.71

2.647

3.24

2

114.37

3.218

4.62

3

118.42

2.196

5.05

4

120.64

3.623

3.14

5

115.25

2.334

3.59

xy

1

110.21

2.232

3.12

2

116.73

2.215

5.62

3

116.23

2.363

4.12

4

121.46

2.825

3.58

5

117.53

2.132

3.56

yx

1

114.32

2.323

3.24

2

115.48

3.235

5.12

3

117.25

2.456

4.35

4

121.35

3.359

3.56

5

117.76

2.183

3.34

yy

1

113.49

2.157

3.12

2

117.48

2.957

5.22

3

115.23

2.612

3.96

4

122.34

3.294

4.36

5

118.76

1.983

3.55