Title : 
Transient analysis of energy equation of dynamical systems
         
        
        
            Author_Institution : 
IUT, Evry, France
         
        
        
        
        
            fDate : 
8/1/1999 12:00:00 AM
         
        
        
        
            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;
         
        
        
            Journal_Title : 
Education, IEEE Transactions on