Computational analysis of rates of energy decay in elastic beams

DOI10.1016/j.na.2010.09.013zbMath1372.74033OpenAlexW2021122115MaRDI QIDQ622371

Richard J. Marchand, Timothy J. McDevitt

Publication date: 31 January 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.09.013

zbMATH Keywords

eigenvaluespartial differential equationsenergy decay rateselastic beamsuniform stabilization

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) Applications of operator theory to differential and integral equations (47N20) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• A note on the equations of a thermoelastic plate
• On the Energy Decay of a Linear Thermoelastic Bar and Plate
• Exponential stability of the semigroup associated with a thermoelastic system
• Exponential stability of the Kirchhoff plate with thermal or viscoelastic damping
• Exponential Stability of a Thermoelastic System with Free Boundary Conditions without Mechanical Dissipation
• Major simplifications in a current linear model for the motion of a thermoelastic plate

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