. Journal of electricity, power, and gas . such a cycloidof revolution. If the same circle were rolled aroundthe circumference of another circle, the point of thefirst circle would describe an epicycloid, and if it wererolled on the inner circumference the path generatedwould be termed a hypocycloid. Figure 11 showsan epicycloid and a hypocycloid generated by such acircle rolling on the exterior and the interior 01 an arcc: a larger circle. Figure 12 shows the application of this cycloidalcurve to gear teeth. The two circles with centers atA and B are pitch circles in rolling contact at I. The
. Journal of electricity, power, and gas . such a cycloidof revolution. If the same circle were rolled aroundthe circumference of another circle, the point of thefirst circle would describe an epicycloid, and if it wererolled on the inner circumference the path generatedwould be termed a hypocycloid. Figure 11 showsan epicycloid and a hypocycloid generated by such acircle rolling on the exterior and the interior 01 an arcc: a larger circle. Figure 12 shows the application of this cycloidalcurve to gear teeth. The two circles with centers atA and B are pitch circles in rolling contact at I. Thegenerating circle with center at S is in contact withboth circle A and circle B at I. A point on circle Stherefore generates an epicycloidal curve Coe withreference to circle B and a hypocycloidal curve hohwith reference to circle A. The point P is, at theinstant, under consideration, generating these twocycloids, and is therefore their point of contact. April 16. 1910] JOURNAL OF ELECTRICITY, POWER AND GAS 355 Ep/cycloid and Hvpocycloid. Fig. 11. In the completed gear this point of contact P isthe point where the actual driving is done. It will beremembered that the first requirement for successfulgearing is a constant angular velocity. Since the
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Keywords: ., bookcentury1800, bookdecade1890, bookidjo, booksubjectelectricity
