On a Lagrangean action based kinetic instability theorem of Kelvin and Tait

DOI10.1016/0020-7225(86)90144-8zbMath0577.70019OpenAlexW1992088499MaRDI QIDQ1065574

John G. Papastavridis

Publication date: 1986

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(86)90144-8

zbMATH Keywords

coterminiextended Jacobi's sufficiency conditionextensions to nonconservative systemsholonomic and conservative systemisoenergetic variationsKelvin/Tait kinetic instability theoremLagrangean actionLagrangean kinetic focinoncontemporaneoussign of the second such variationvariable endpoints variational problem

Mathematics Subject Classification ID

Other variational principles in mechanics (70H30)

Related Items (4)

Analytical solution for the problem of maximum exit velocity under Coulomb friction in gravity flow discharge chutes ⋮ The principle of least action as a Lagrange variational problem: Stationarity and extremality conditions ⋮ Contribution to the brachistochrone problem with Coulomb friction ⋮ On the brachistochronic motion of a variable-mass mechanical system in general force fields

Cites Work

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• On normal modes in classical Hamiltonian systems
• On the existence and bifurcation of minimal normal modes
• Extremal properties of stable resonance motions
• The loading-frequency relation of linear conservative systems via a direct energetic (action) method
• Parametric excitation stability via Hamilton's action principle
• Toward an extremum characterization of kinetic stability
• Periodic Solutions of Second Order Dynamical Systems and Isoperimetric Variational Problems

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