A single cylinder engine can be treated as a rotating unbalance model where the mass of the piston, m, acts at an eccentric distance, e which is half of the stroke. Determine the displacement amplitude of the engine in millimetres when it is rotating at a speed of 367.8 rpm. The engine parameters are: Mass of engine, M = 428.8 kg; keq = 135.5 kN/m; ceq = 3928.7 Ns/m; m = 7.8 kg and Stroke (i.e. 2e) = 212.1 mm. Give your answer to 2 dp.

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Free Damped Vibrations

Free vibration is a type of vibration in which the external force is removed after giving the initial displacement to a body/system. In other words, in this type of vibration, force is applied at the initial displacement of the system, and after the initial displacement, force is removed, and the system vibrates at the natural frequency.