Version 1.0, August 31, 2001, Copyright, Hugh Jack 1993-2001
· In modeling any linear system we are best to start by developing a differential equation for the system components.
· Consider the simple spring-mass-damper system shown below. A free body diagram can be drawn for the mass `M', and a sum of forces can be written, and expanded with the values for the mechanical components.
· We may also consider a torsional vibration. We will assume that the vertical shaft has a stiffness of Ks and a damping coefficient of Kd. There is an applied torque `T' and a moment of inertia `I'.
