Research Article

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)  

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 ).