Page 416 - Fluid-Structure Interactions Slender Structure and Axial Flow (Volume 1)

w
W
0

0.4

0.2
*
i
-
2 0.0
%
.-
n
-0.2
-0.4

"."
0 5 10 15
(a) Perturbation, Y

-
3
'G 0.0
9
-0.1 -2
-0.2
-0.2 -0.1 0.0 0.1 0.2 5.3 0.0 0.3 -0.6 0.0 0.6
(b) Displacement

Figure 5.55 (a) Bifurcation diagram of the tip displacement of the doubly degenerate pipe-spring system (/? = 0.25, u = 15.1, y = 43.8, K = 100,
& = 0.8, a = 5 x perturbed by an oscillatory flow velocity component of amplitude u; (b) selected phase-plane diagrams for the values of v
indicated (Pdidoussis & Semler 1993b).