ABSTRACT

The pulley-and-belt analogy of perfect intersected-axes gear pairs is a convenient and powerful tool to investigate and analyze the transmission of a uniform rotation by means of Ia-gearing. In the pulley-and-belt equivalent, the driving base cone of the pinion pulls the driven base cone of the gear. In order to transmit a steady input rotation smoothly to the output shaft, three fundamental laws of gearing have to be fulfilled. The first fundamental law of gearing can be analytically described by the Shishkov equation of contact. The second fundamental law of gearing requires that interacting tooth flanks of a gear, G, and a mating pinion, P, be conjugate. The third fundamental law of gearing is the condition that requires equality of angular base pitches of a gear and a mating pinion to the operating angular base pitch of the gear pair.