Page 544 - Fluid-Structure Interactions Slender Structure and Axial Flow (Volume 1)

5 14 SLENDER STRUCTURES AND AXIAL FLOW
(* ..................................................... *)
(* Plot the phase plane plot for mu = 0.3; corresponds *)
(* to Figure 10(a) of the article by PaidOuSBiS and *)
(* Semler (1993) *I
(* .....................................................
*)
mu = 0.3;
ParametricPlot[~diap,velol,~t,O,2 Pi/wOl,
Frame->True,
FrameLabel -> {Displacement, Velocity),
PlotRange -> (~-0.3,0.31,C-4,41)1

-4' I I
-0.2 -0.1 0 0.1 0.2
Displacement

(Local B) Out[146]=
-Graphics-

0.12 , , I I , , / I , , I , , / ~ I , , , ~ , , I ,

0.10 -

-

-

-
" " " " " " " ~ " " " " '
0.00
0.0 0.1 0.2 0.3 0.4 0.5
(a) Perturbation, p

Figure H.l (a) The amplitude of the first generalized coordinate, 91. and (b) the frequency, o,
for limit-cycle motion as a function of p = % - QC, for a system with /3 = 0.2 and y = 10, for
which %c = 6.2708. ---, by centre manifold theory; -, by AUTO.