MAE 316 WVU System with Three Masses and Three Springs Fixed Free Configuration Paper
Question Description
Consider a system with three masses and three springs in the ‘fixed-free’ configuration: that is, the masses are fixed at the top but free at the bottom. In addition to the spring forces, the system undergoes viscous dampening – imagine the masses are submerged in a viscous fluid that exerts a drag force. The force is proportional to the velocity of each mass and must be taken into consideration during the derivation of the governing equations.
Write governing equations and a Crank-Nicolson solution scheme – written in block- matrix form, for the dynamics of the system
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