The inverse problem of Lagrangian mechanics for a non-material volume

DOI10.1007/s00707-014-1156-7zbMath1328.70010OpenAlexW1991301287MaRDI QIDQ490091

Leonardo Casetta

Publication date: 21 January 2015

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-014-1156-7

Mathematics Subject Classification ID

Other variational principles in mechanics (70H30) Inverse problems in optimal control (49N45) Lagrange's equations (70H03)

Related Items

Geometric theory on the dynamics of a position-dependent mass particle ⋮ Symmetry and conserved quantities for non-material volumes ⋮ A generalization of Noether's theorem for a non‐material volume ⋮ Note on a Noetherian conservation law and its corresponding general class of nonlinear second‐order ordinary differential equations ⋮ A theorem on energy integrals for linear second-order ordinary differential equations with variable coefficients ⋮ Conformal invariance and conserved quantities of nonmaterial volumes ⋮ Poisson brackets formulation for the dynamics of a position-dependent mass particle ⋮ Review and perspectives in applied mechanics of axially moving flexible structures ⋮ Algebraic structure and Poisson brackets of single degree of freedom non-material volumes ⋮ Mei symmetry and new conserved quantities for non-material volumes ⋮ A brief note on the analytical solution of Meshchersky's equation within the inverse problem of Lagrangian mechanics ⋮ Noether symmetrical perturbation and adiabatic invariants for disturbed non-material volumes ⋮ The dynamical equation of relative motion for non-material volumes

Cites Work

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• The calculus of variations
• The equations of Lagrange written for a non-material volume
• The inverse problem of Lagrangian mechanics for Meshchersky's equation
• The generalized Hamilton's principle for a non-material volume
• Technische Mechanik der festen und flüssigen Körper
• The range of application of the lagrange formalism — I
• On the inverse problem of calculus of variations for fourth-order equations

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