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Convolution Integral : Viciously Damped Single-degree-of-freedom System

Derive the response of a viciously damped single-degree-of-freedom system of force Ft=F0e^-αt u(t) by means of a convolution integral. Plot the the response for the system parameters m=12 kg, c= 24 N.s/m, k=4.800 N/m and the force paramters F0=200 N, α=1

Prescribed Textbook: Fundamentals of vibrations : Leonard Meirovitch

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Please read notes attached .

Do not do the 2nd part of the problem where you have to plot a graph etc. !!!!


Solution Summary

A convolution integral is solved. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.