DocumentCode :
1234718
Title :
A Lagrangian Formulation for Nonconservative Linear Systems Which Satisfies Hamilton´s Principle
Author :
Gossick, B.R.
Volume :
10
Issue :
1
fYear :
1967
fDate :
3/1/1967 12:00:00 AM
Firstpage :
37
Lastpage :
42
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 :
Damping; Equations; Fourier series; Helium; Kinetic energy; Lagrangian functions; Linear systems; Physics; Potential energy; Symmetric matrices;
fLanguage :
English
Journal_Title :
Education, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9359
Type :
jour
DOI :
10.1109/TE.1967.4320211
Filename :
4320211
Link To Document :
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