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PIPES CONVEYING FLUID: LINEAR DYNAMICS I1 205
6’
52
42
32
22
h
:
3
l2
t
.3?
0
-I2
-22
-32
(a)
1’ 22 32 42 5’ 62 l2 82 92 IO2
(0)
(b)
Figure 4.4 (a) Argand diagram of the complex eigenfrequencies of a tubular cantilever conveying
fluid for a system with 6 = 20, S = 0.5, y = 20.05, yi = 0.03, ye = 1.9, immersed in quiescent
water, neglecting dissipation (ud = c, = 0): - 0 - 0 -, a uniform pipe (a, = CY, = 0); cylin-
drical-conical system (CY, = 0, ai = 0.5). (b) Argand diagram of a similar cylindrical-conical system
(a, = 0, ai = OS), with ye = 1 and all other parameters the same: 7, immersed in water, V,
immersed in air (Hannoyer & PaYdoussis 1979a).
