Application of the Hamilton–Jacobi method to linear nonconservative vibration theory

DOI10.1063/1.527908zbMath0658.70021OpenAlexW2013593809MaRDI QIDQ3807669

Alvin M. Strauss, B. D. Vujanović

Publication date: 1988

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.527908

zbMATH Keywords

Lagrangian functionNewtonian equationsHamilton-Jacobi methodmultidegrees of freedom oscillatory systems

Mathematics Subject Classification ID

Dynamics of a system of particles, including celestial mechanics (70F99) Hamilton-Jacobi equations in mechanics (70H20) Free motions in linear vibration theory (70J30)

Cites Work

• A study of conservation laws of dynamical systems by means of the differential variational principles of Jourdain and Gauss
• Constants of the motion in Lagrangian mechanics
• On some conservation laws of conservative and non-conservative dynamic systems
• The range of application of the lagrange formalism — I
• Symmetries, first integrals and the inverse problem of Lagrangian mechanics
• Solution of the Hamilton-Jacobi equation for certain dissipative classical mechanical systems

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