Table 3 Effects of Mass Changes on System Modes.

From: Mechanical characteristics analysis and control algorithm for floating raft system with mass variation

Modal category

Modal order

Modal characteristics

Case 1

Case 2

Case 3

The rigid body modes

1

Longitudinal rocking vibration

2.79

3.72

2.64

2

Vibrate vertically up and down

3.52

4.96

3.52

3

Lateral rocking vibration

3.61

5.70

4.05

4

Longitudinal rocking vibration

5.78

7.63

5.44

5

Lateral rocking vibration

6.35

7.70

5.46

6

Vertical torsional vibration t

7.37

9.08

6.47

The elastic modes

7

1st order vertical bending

27.79

28.24

28.19

8

Torsional vibration

37.10

46.32

45.71

9

Vertical 1st-order bending and torsion coupling

40.60

49.59

49.22

10

2nd order vertical bending

77.55

121.92

121.57

11

1st order lateral bending

83.41

122.59

122.25

12

Transverse 1st-order bending-torsional vibration coupling

90.40

128.08

127.69