Page 186 - Fluid-Structure Interactions Slender Structure and Axial Flow (Volume 1)

168 SLENDER STRUCTURES AND AXIAL FLOW
3.6.5 Fluid follower forces

This is a special class of problems involving beams subjected to fluid jets issuing tangen-
tially from the beam, either within the span or at the free end. Hence, these are beams
subjected to fluid follower loads, rather than pipes with flow all along.
Wiley & Furkert (1972) considered the system shown in Figure 3.70(a). The equations
of motion may be written as follows:

I I 7 1

L
Divergence

2.046
- -
u 0.2 0.4 0.6 0.8 1.0 0
(b) dL
Figure 3.70 (a) The beam with an in-span fluid-jet-generated follower load P. (b) Stability
boundary for the pinned-clamped system (Cl = 0, Cz = CQ;K; = 0, K; = CQ); (c) stability
boundary for the clamped-pinned system (K; = CQ, K; = 0): -, with tangential follower load;
-_- , with horizontal, fixed-direction (conservative) load. Flutter 1/2 stands for coupled-mode
flutter involving the first and second modes; and similarly for Flutter 2/3 (Wiley & Furkert 1972).