ABSTRACT

The pulley-and-belt analogy of crossed-axes gear pairs is a convenient and powerful tool to investigate and analyze the transmission of a uniform rotation by means of Ca–gearing. In order to smoothly transmit a steady input rotation to the output shaft, three fundamental laws of gearing have to be fulfilled. First, the condition of contact, n·VΣ=0, between two interacting tooth flanks, G and P, of a gear and a mating pinion has to be fulfilled when transmitting a uniform rotation by means of crossed-axes gearing. Second, the interacting tooth flanks, G and P, of a gear and a mating pinion have to be conjugate to one another at any and all angular configurations of the gear and the pinion when the gears rotate. The third fundamental condition that is discussed 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.