• DocumentCode
    1534992
  • Title

    Transient analysis of energy equation of dynamical systems

  • Author

    Vibet, Claude

  • Author_Institution
    IUT, Evry, France
  • Volume
    42
  • Issue
    3
  • fYear
    1999
  • fDate
    8/1/1999 12:00:00 AM
  • Firstpage
    217
  • Lastpage
    219
  • Abstract
    In the scope of numerical simulation, this report presents a method to evaluate the δ(t)u(t) Dirac product which is encountered when formulating energy equations of dynamical systems. A simple pendulum is taken as an example and its simulation scheme is designed. The transient analysis of the system driven by an impulse command is finally used to illustrate that δ(t)u(t)=0.5δ(t); a proof of such a result is also provided
  • Keywords
    electrical engineering education; pendulums; transient analysis; dynamical systems; electrical engineering education; energy equation; impulse command; inital condition; nonlinear Dirac product; numerical simulation; pendulum; transient analysis; Algebra; Analytical models; Education; Electrical engineering; Lagrangian functions; Laplace equations; Nonlinear equations; Numerical simulation; Torque; Transient analysis;
  • fLanguage
    English
  • Journal_Title
    Education, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9359
  • Type

    jour

  • DOI
    10.1109/13.779902
  • Filename
    779902