• 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