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In: Mechanical Engineering

mechanical vibration Consider a single cylinder engine such as the one shown here where r is...

mechanical vibration

Consider a single cylinder engine such as the one shown here where r is the radius of crank (5.0 cm), l is the length of the connecting rod (16 cm), Mp is the effective mass of piston (1.5 kg), M is total mass of engine (75 kg), w is the engine speed (24p rad/s), k is the spring constant (220 KN/m), and z is the damping ratio (0.02). Assume that the crank and the remaining portion of the connecting-rod mass, which is considered concentrated at the crankpin, is balanced so that its center of gravity is at the axis of rotation O; determine

Equation of motion for the system

Exciting force of the engine and plot it for 30 seconds using 600 equal time intervals.

Absolute maximum steady-state amplitude of the engine

Plot the steady state time responses for the displacement and velocity of the engine for 30 seconds using 600 equal time intervals.

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