Conformal invariance of Mei symmetry and conserved quantities of Lagrange equation of thin elastic rod
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Publication:335683
DOI10.1007/s11071-015-2448-8zbMath1353.74047OpenAlexW1864999785MaRDI QIDQ335683
Publication date: 2 November 2016
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-015-2448-8
conformal invarianceconserved quantitiesKirchhoff dynamic analogyLagrange equationMei symmetrythin elastic rod
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Stability of dynamical problems in solid mechanics (74H55) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)
Related Items (11)
Symmetry and conserved quantities for non-material volumes ⋮ Basic theory of fractional Mei symmetrical perturbation and its applications ⋮ Basic theory of fractional conformal invariance of Mei symmetry and its applications to physics ⋮ Noether-type conserved quantities on time scales for Birkhoffian systems with delayed arguments ⋮ Conformal invariance and conserved quantities of nonmaterial volumes ⋮ New adiabatic invariants for disturbed non-material volumes ⋮ Conformal invariance and conserved quantities of mechanical system with unilateral constraints ⋮ A new method of fractional dynamics, i.e., fractional Mei symmetrical method for finding conserved quantity, and its applications to physics ⋮ Mei symmetry and new conserved quantities for non-material volumes ⋮ Mei symmetry and new conserved quantities of time-scale Birkhoff's equations ⋮ Mei symmetry and conservation laws for time-scale nonshifted Hamilton equations
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