The system shown in Figure simulates a machine supported by rubbers, which are approximated as four identical spring-damper units. The input is the force f and the output is the displacement x of the mass. The parameter values are m = 500 kg, b = 250 N·s/m, and k = 200,000 N/m. a. Draw the necessary free-body diagram and derive the differential equation of motion. b. Determine the transfer function. Assume zero initial conditions.
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Four identical spring-damper units act in parallel, so - total stiffness = 4k - total damping = 4b Show more…
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