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Explain the following terms with a neat sketch a) Under damping, over damping and critical damping b) Longitudinal, Transverse and Torsional vibrations

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The firing order in a six cylinder vertical two stroke in-line engine is 1-4-2-6-3-5. The piston stroke is 100 mm and length of each connecting rod is 200 mm. The pitch distances between the cylinder centre lines are 100 mm, 100 mm, 150 mm, 100 mm and 100 mm respectively. The reciprocating mass per cylinder is 1 kg and the engine runs at 3000 rpm. Determine the out of balance primary and secondary forces and couples on this engine, taking the plane of cylinder 2 as the reference plane.

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A five cylinder in-line engine running at 750 rpm has successive cranks 144 degrees apart, the distance between the cylinder center lines being 375 mm. The piston stroke is 225 mm and ratio of the connecting rod to crank is 4. Examine the engine for the balance of primary and secondary forces and couples. Determine maximum values of these and the position with respect to the second crank/cylinder at which these values occur. The reciprocating mass for each cylinder is 10 kg.

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