Page 393 - Fluid-Structure Interactions Slender Structure and Axial Flow (Volume 1)

PIPES CONVEYING FLUID: NONLINEAR AND CHAOTIC DYNAMICS 369

3

0

-3
0.012 0.028 0.044 4.09 0 0.09
(a) (b)
91 1

,
I I
4.125 0 0. 4.144 0 0.144

Figure 5.42 The numerically computed forced response of the system of Figure 5.41
for u = 0.35, N = 2, w/2n = 4Hz, pipelnozzle area-ratio ai = 1, and variable f = FoL2/EI:
(a) f = 3.0; (b) f = 9.0; (c) f = 18.1; (d) f = 33.1. (e) The map of chaotic regions (the hatching
points into the regions) in terms of the excitation force Fo in kg, where f = 60.2Fo, and the
frequency of forcing, w/2n (Tang & Dowel1 1988).