Lagrangian descriptions of dissipative systems: a review

DOI10.1177/1081286520971834OpenAlexW3103809678MaRDI QIDQ4992822

Paolo Caressa, Alberto Maria Bersani

Publication date: 10 June 2021

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1081286520971834

zbMATH Keywords

dissipative systemsLagrangian formalismHelmholtz conditionsanalytical mechanicsmultiplier factors

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX)

Related Items (7)

Modeling of three-dimensional beam nonlinear vibrations generalizing Hencky’s ideas ⋮ Lagrange formal calculus as applied to Lagrange mechanics: An exercise in anachronism ⋮ Shear rupture mechanism and dissipation phenomena in bias-extension test of pantographic sheets: Numerical modeling and experiments ⋮ A continuum model based on Rayleigh dissipation functions to describe a Coulomb-type constitutive law for internal friction in woven fabrics ⋮ Energy based methods applied in mechanics by using the extended Noether's formalism ⋮ An application of Coulomb-friction model to predict internal dissipation in concrete ⋮ Numerical evidence for the approximation of dissipative systems by gyroscopically coupled oscillator chains

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