Consider a system with three masses and four springs in the 'fixed-fixed' configuration: that is, the...

   

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Consider a system with three masses and four springs in the 'fixed-fixed' configuration: that is, the masses are fixed at the BOTTOM AND at the TOP. In addition to the spring forces, the system undergoes dampening - imagine the springs are shock absorbers, which create a dampening force opposing the spring elongation which is proportional to the elon- gation rate. These drag forces must be included in the force balance one uses to create the dynamic system. written in block- Write governing equations and a Crank-Nicolson solution scheme matrix form for the dynamics of the system. Consider a system with three masses and four springs in the 'fixed-fixed' configuration: that is, the masses are fixed at the BOTTOM AND at the TOP. In addition to the spring forces, the system undergoes dampening - imagine the springs are shock absorbers, which create a dampening force opposing the spring elongation which is proportional to the elon- gation rate. These drag forces must be included in the force balance one uses to create the dynamic system. written in block- Write governing equations and a Crank-Nicolson solution scheme matrix form for the dynamics of the system.

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