Long-time dynamics of a hinged-free plate driven by a nonconservative force

DOI10.4171/AIHPC/13MaRDI QIDQ2693070

Justin T. Webster, Irena Lasiecka, Gazzola, Filippo, Denis Bonheure

Publication date: 17 March 2023

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.01801

zbMATH Keywords

stabilityglobal attractornonlinear plate equationnon-self-adjoint operatordetermining modesnonconservative term

Mathematics Subject Classification ID

Attractors (35B41) Plates (74K20) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) Modal analysis in linear vibration theory (70J10) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Integro-partial differential equations (35R09) Higher-order semilinear hyperbolic equations (35L76)

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Numerical solution to the linearized model of a clamped-free plate using nonconforming finite elements ⋮ Existence and robustness results of attractors for partially-damped piezoelectric beams ⋮ Asymptotic limits and attractors for a laminated beam model ⋮ A new detailed explanation of the Tacoma collapse and some optimization problems to improve the stability of suspension bridges

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