A Lagrangian Formulation for Nonconservative Linear Systems Which Satisfies Hamilton's Principle
- 1 March 1967
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Education
- Vol. 10 (1) , 37-42
- https://doi.org/10.1109/te.1967.4320211
Abstract
A Lagrangian formulation for nonconservative linear systems is presented, and it is shown that this formulation satisfies Hamilton's principle. This treatment has two advantages over the standard treatment after Lord Rayleigh: 1) it applies to a wider class of problems (radiation damping is included), and 2) it includes a demonstration that the Lagrangian formulation satisfies Hamilton's principle, which brings a larger body of systems under one postulate.Keywords
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