Modelling of Spring-Mass-Damper, Part IV: Solution of critically damped case, 24/10/2013
Channel: Lutfi Al-Sharif
Date: 2013-10-28

Accompanying document:  http://www2.ju.edu.jo/sites/Academic/l.sharif/Material/0908441%20Control%20Systems/95%20Document%20to%20Accompany%20the%20videos%20on%20the%20You%20Tube%20Playlist/SMD%20response%20critically%20damped%20131025.pdf
This lecture is part of a series of lectures given at Philadelphia University, in the first semester 2013/2014 by Dr. Lutfi Al-Sharif, in the course on Automatic Control Systems.  The part (Part IV) finds the solution in the time domain of the displacement response of the mass to a unit step force, by using the Laplace and inverse Laplace transform for the critically damped case.  The residue method of partial fraction expansion is used.