The Balancing of Engines

Cover The Balancing of Engines
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OD (Fig. 133) is the vector sum of the couples, multiplied by y, V found from a polygon whose sides are drawn parallel to the cranks on the imaginary shaft (Fig. 134). The curves corresponding to the rotation of these two vectors, the latter twice as fast as the former, are shown in Fig. 135, the one marked b corresponding to the vector OC, the one marked a, to the vector OD. Their sum is shown by the thick line. Comparing this line with the corre- sponding one in Fig. 130, marked "reciprocatin
...g masses/' very Digitized by Google 186 THE BALANCING OF ENGINES.
little difference will be observable to the scale of the illustrations.
The sum of the couples belonging to the crank-shaft system is shown by OE (Fig. 133). The curve corresponding to this may be drawn on the diagram, as in Fig. 130, and then added to the 9000 2000 1.000 2000 Fig. 135.
resultant curve for the reciprocating masses as before. Or the sum of the vectors OC and OE may be taken, and a curve drawn for their resultant. This curve added to curve a will give the curve representing the total unbalanced couple acting in the plane of reciprocation.


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