Page 413 - Fluid-Structure Interactions Slender Structure and Axial Flow (Volume 1)
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w
                                   0.050                             t     0.6 4
                                                                                                                            00
                                                                                                                            00
                                                                        5  0.4
                                                                        2
                                                                        Q
                                                                        B  0.2
                                                                        3
                                                                        3
                                                                           0.0
                                   -0.050'   .   '   '   '   '   '   .   '   .   I
                                      13.0   13.2   13.4   13.6   13.8   14.0   13.0   13.2   13.4   13.6   13.8   14.0
                                                                                            X

                                                          -
                                                       1.2
                                                          -
                                                       0.6
                                                     -    -
                                                     0
                                                     .-
                                                     8  0.0
                                                     9
                                                          -
                                                       -0.6
                                                          -
                                                       -1.2
                                                         -0.4   -0.2    0.0    0.2     0.
                                                     (e)             Displacement

                    Figure 5.54  (a)  Bifurcation  diagram  for  the  doubly  degenerate  up-standing  cantilevered  system  with  heteroclinic  orbits  (p = 0.2, u = 2.2466,
                    y = -46.020),  perturbed in  y  by  an  amount x; (b) the  corresponding largest Lyapunov  exponents;  (c) a  phase-plane plot  in  the  chaotic regime
                                                              (Li & Pdidoussis 1994).
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