[Back]

M. Miletic, D. Stürzer, A. Arnold:
"An Euler-Bernoulli beam with nonlinear damping and a nonlinear spring at the tip";
in: "ASC Report 40/2014", Vienna University of Technology, Wien, 2014, ISBN: 978-3-902627-07-0, 1 - 25.

We study the asymptotic behaviour for a system consisting of a
clamped exible beam that carries a tip payload, which is attached to a nonlinear damper and a nonlinear spring at its end. Characterizing the !-limit sets of the trajectories, we give a necessary condition under which the system is asymptotically stable. In the case when this condition is not satisfied, we show that the beam deflection approaches a non-decaying time-periodic solution.

flexible beam, nonlinear spring, nonlinear damping, nonlinear semigroups, trajectory precompactness, asymptotic stability

http://www.asc.tuwien.ac.at/preprint/2014/asc40x2014.pdf