Page 197 - Fluid-Structure Interactions Slender Structure and Axial Flow (Volume 1)

PIPES CONVEYING FLUID: LINEAR DYNAMICS I 179

F F ~ r = o
0

,e--\* \. t= 1.0s
. /' --c- .-
- \
y-7- .-
./-I
*--' \-<a' \ 0 \./
I

I I !

I I

t = 0.15 s

C
F
I I I I I

1 I I I I 1
-200 -100 0 100 200
x (ft)
(b)
Figure 3.73 Displacement profile of the infinitely long pipe on an elastic foundation, for
(a) u =O and (b) u = 0.160; 17 =o =0: -, k =O; --- k = 2.43 x ---,
,
k = 2.75 x - - - , k = 6.54 (Stein & Tobnner 1970).