Module 8 :  Free Vibration with Viscous Damping; Critical Damping and Aperiodic
                        Motion; Logarithmic Decrement;Systems with Coulomb Damping.
Lecture 1 :   Free Vibration with Viscous Damping

 

 Assuming the solution to the above equation of the form, we get

 
8.1.2
  This is called the characteristic equation of the system which has two roots,
8.1.3

 

 Therefore the genral solution to the equation of motion is of the form,

 

 

 where A and B are constants to be determined from initial conditions on position and velocity.
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