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
Link To Document :
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