Energy decay for damped shear beam model and new facts related to the classical Timoshenko system

DOI10.1016/J.AML.2021.107324zbMath1487.74072OpenAlexW3155111538MaRDI QIDQ2233335

Yanyan Li

Publication date: 15 October 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107324

zbMATH Keywords

well-posednessviscous dampingexponential decaywave speeddissipative shear beam model

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (6)

About well-posedness and lack of exponential stability of Shear beam models ⋮ Global attractors for a partially damped Timoshenko–Ehrenfest system without the hypothesis of equal wave speeds ⋮ Uniformly exponentially stable approximations for Timoshenko beams ⋮ Global attractors for porous-elasticity system from second spectrum viewpoint ⋮ Stabilization of Timoshenko-Ehrenfest type systems ⋮ Thermoelastic Timoshenko system free of second spectrum

Cites Work

• Unnamed Item
• On the nature of dissipative Timoshenko systems at light of the second spectrum of frequency
• A theory for transverse vibrations of the Timoshenko beam
• DYNAMICS OF TRANSVERSELY VIBRATING BEAMS USING FOUR ENGINEERING THEORIES

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