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PIPES CONVEYING FLUID: NONLINEAR AND CHAOTIC DYNAMICS 337
Figure 5.23 Schematic of the vertical cantilevered pipe with an intermediate linear spring support,
capable of double degeneracy conditions (Paldoussis & Semler 1993b).
Section 3.6.2 (Figures 3.64 and 3.65), where it is shown that both divergence and flutter
are generally possible.
The nonlinear equation of motion is discretized by Galerkin's method, yielding
where Cij and K;, are defined as
and
