Talks and Poster Presentations (with Proceedings-Entry):
A. Steindl:
"Numerical Investigation of the Hopf-Bogdanov-Takens Mode Interaction for a Fluid-conveying Tube";
Talk: 10th International Conference on Structural Dynamics, EURODYN 2017,
Rom;
2017-09-10
- 2017-09-13; in: "X International Conference on Structural Dynamics, EURODYN 2017",
F Vestroni, V. Gattulli, F Romeo (ed.);
Procedia Engineering / Elsevier,
199
(2017),
ISSN: 1877-7058;
857
- 862.
English abstract:
We investigate the dynamics after loss of stability of the downhanging
configuration of a fluid conveying tube with a small end mass and an elastic
support.
By varying the fluid flow rate and the stiffness and location of the elastic
support, different degenerate bifurcation scenarios can be observed. In this
talk we investigate the bifurcating solution branches of the codimension 3
interaction between a Hopf bifurcation and a Takens-Bogdanov bifurcation.
An elaboratory discussion of the primary and secondary solution branches
was already given by Langford and Zhan. After reducing the system to the three-dimensional Normal Form equations we apply a numerical continuation procedure
to locate the expected higher order bifurcation branches and possibly detect
more complicated dynamics, like Shilnikov orbits.
Keywords:
Fluid-conveying tube; Hopf bifurcation; Takens-Bogdanov bifurcation; Mode interaction; continuation method; Shilnikov szenario
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1016/j.proeng.2017.09.024
Electronic version of the publication:
http://publik.tuwien.ac.at/files/publik_265128.pdf
Created from the Publication Database of the Vienna University of Technology.