Page 266 - Fluid-Structure Interactions Slender Structure and Axial Flow (Volume 1)

PIPES CONVEYING FLUID: LINEAR DYNAMICS I1 247

1 .o E I

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0.b I I I 1
1) 0.1 (1 2 0 3 0.4 0 5
fl
Figure 4.24 The effect of /3 on the principal and fundamental parametric resonances associated
with the first mode of a clamped-clamped pipe (y = 10, r = rl = a = o = 0, ug = 2): -.
/3'/? = 0.2; ---, = 0.5; 0-0, /3"' = 0.8 (Pai'doussis & Issid 1974).

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e
1 /I I I I
0 IO 20 30 40" 50 60
'%ne (w)

Figure 4.25 Argand diagrams for a cantilevered pipe with y = 10, a = o = 0; ---, /3 = 0.2:
-, /3 = 0.3 (Pai'doussis & Issid 1974).