An Euler-Bernoulli beam with nonlinear damping and a nonlinear spring at\n the tip

2014/11/28 by Maja Miletić, Miletić, Maja, Dominik Stürzer +3
Computer Science · Engineering · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Contact Mechanics and Variational Inequalities #FOS: Mathematics #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1411.7946

openalex publication_date 2014/11/28 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

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

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