Contributions to Books:
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,
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
Electronic version of the publication:
Created from the Publication Database of the Vienna University of Technology.