Symmetries and conservation laws of a system of Timoshenko beam type with smooth coefficients

DOI10.7546/GIQ-21-2020-242-250zbMath1480.74190OpenAlexW3092526618MaRDI QIDQ1980280

Daniel M. Dantchev, Vassil M. Vassilev, Svilen I. Popov

Publication date: 3 September 2021

Full work available at URL: https://doi.org/10.7546/giq-21-2020-242-250

zbMATH Keywords

variational formulationconservation lawLie algebraLie group analysistransverse wave propagationdivergence symmetry

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Applications of Lie groups to the sciences; explicit representations (22E70) Waves in solid mechanics (74J99)

Cites Work

• Invariant properties of Timoshenko beam equations
• Application of Lie transformation group methods to classical linear theories of rods and plates
• Terahertz Vibration of Short Carbon Nanotubes Modeled as Timoshenko Beams
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