Dynamic Behavior of Axially Functionally Graded Pipes Conveying Fluid
Table 3
Influence of fluid velocity on the first five dimensionless natural frequencies of FG pipes conveying fluid ().
Fluid velocity (m/s)
ā
0
22.373
61.673
120.903
199.859
298.556
0
22.373
61.673
120.903
199.859
298.556
0
26.866
74.323
145.936
241.576
361.572
10
26.850
74.306
145.918
241.558
361.556
20
26.801
74.255
145.865
241.506
361.508
30
26.720
74.171
145.777
241.419
361.428
40
26.605
74.052
145.653
241.296
361.315
50
26.457
73.899
145.493
241.139
361.171
: dimensionless free vibration frequencies for clamped-clamped beams [42]. : GITT solution for dimensionless free vibration frequencies for clamped-clamped pipes ( and ).