mechanical vibration
Consider a single cylinder engine such as the one shown herewhere r is the radius of crank (5.0 cm), l is the lengthof the connecting rod (16 cm), Mp is the effective massof piston (1.5 kg), M is total mass of engine (75 kg), w is theengine speed (24p rad/s), k is the spring constant (220 KN/m), andz is the damping ratio (0.02). Assume that the crank and theremaining portion of the connecting-rod mass, which is consideredconcentrated at the crankpin, is balanced so that its center ofgravity 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 using600 equal time intervals.
Absolute maximum steady-state amplitude of the engine
Plot the steady state time responses for the displacement andvelocity of the engine for 30 seconds using 600 equal timeintervals.
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