Biomedical Engineering Reference
In-Depth Information
Fig. 5.59
Cross section of the variable beams and respective nodal arrangement. a Beam A and
b Beam B
Table 5.11
Vibration frequencies (rad/s) of the cantilever beam with variable cross section—
Beam A [
2
]
Mode
MLPG
LRPIM
RPIM
NNRPIM
NNRPIM
NNRPIM
NNRPIM
FEM
p = 1.03;
c = 1
p = 1.03;
c = 0.1
V1P1
V2P0
V2P1
V2P1
(3D)
Abacus
1
263.21
262.13
261.54
263.42
263.10
262.58
262.18
262.09
2
923.03
920.81
922.48
918.93
925.95
925.21
920.78
981.93
3
953.45
952.06
952.15
952.30
952.40
952.43
953.9
951.86
4
1,855.14
1,854.32
1,871.07
1,844.59
1,875.62
1,874.89
1,862.35
1,850.92
5
2,589.78
2,589.87
2,589.61
2,578.56
2,590.02
2,589.76
2,593.4
2,578.63
Table 5.12
Vibration frequencies (rad/s) of the cantilever beam with variable cross section—
Beam B [
2
]
Mode
NNRPIM
NNRPIM
NNRPIM
NNRPIM
FEM
V1P1
V2P0
V2P1
V2P1 (3D)
9n
1
133.14
132.39
132.21
134.01
131.59
2
484.23
485.39
484.63
476.9
469.88
3
878.34
878.43
878.63
891.45
878.31
4
1,105.35
1,119.01
1,117.20
1,075.85
1,062.42
5
1,908.63
1,945.77
1,942.27
1,883.92
1,863.21
