Page 37 - Fluid-Structure Interactions Slender Structure and Axial Flow (Volume 1)
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20 SLENDER STRUCTURES AND AXIAL FLOW
.5
I .5
I
1 .o
.o
1
0.5
0.5
0.0
0.0
-0.5
-0.5
-1.0
-1.0
0 1 2 3 4 5
Time, T
Figure 2.3 Solutions to equation (2.52) showing q(1,~) versus r, for 9 = 1, fo = 7 and
wf = 0.6: (a) the particular solution alone [Le. ffk = @k = 0 in equation (2.56)], which would
correspond to the steady-state solution if damping were included; (b) full solution for N = I;
(c) full solution for N = 2 (-) and N = 4 (. . .) on an expanded scale of r.
