Poisson bracket formulation of a higher-order, geometrically-exact beam

DOI10.1016/j.aml.2020.106842zbMath1458.35404OpenAlexW3093563779MaRDI QIDQ2225274

Mayank Chadha, Michael D. Todd

Publication date: 8 February 2021

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

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106842

zbMATH Keywords

Hamiltonian structurelarge deformationsPoisson bracket formulationcoupled Poisson's and warping effectsgeometrically-exact beam

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) PDEs in connection with mechanics of deformable solids (35Q74)

Cites Work

• A geometrically-exact rod model incorporating shear and torsion-warping deformation
• Density functional theory. An advanced course.
• The Hamiltonian structure of nonlinear elasticity: The material and convective representations of solids, rods, and plates
• Unnamed Item

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