Page 324 - Fluid-Structure Interactions Slender Structure and Axial Flow (Volume 1)

PIPES CONVEYING FLUID: NONLINEAR AND CHAOTIC DYNAMICS 305

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CRe (A)

Figure 5.4 Argand diagram of the eigenvalues of the pinned-pinned pipe system (a = (T = 0.01,
j3 = 0.2, y = r = 0).

Figure 5.5 The location of the new stable fixed points (sinks), q”, generated at u = j~ + p, and
the unstable fixed points (saddles), @, at u = 2n + p, for the pinned-pinned system: -, by
numerical integration; 0, A, by centre manifold theory. System parameters: a = (T = 0.01, j3 = 0.2,
~4 = 1, y = r = 0.