ABSTRACT

This chapter discusses a set of necessary conditions to transmit a uniform rotation smoothly with regard to parallel-axes gearing. It also discusses the first fundamental law of gearing that reflects the condition of contact of tooth flanks of a gear and a mating pinion. The first fundamental law of gearing is formulated as follows: The first fundamental law of gearing: At every point of contact of tooth flanks of a gear and mating pinion, a vector of their instant relative motion has to be perpendicular to the common perpendicular at every instant of time. The chapter examines the second fundamental condition of conjugacy of tooth flanks of a gear and a mating pinion. Conjugacy is a specific property of a gear and a mating pinion tooth flanks that roll over one another. The chapter also examines the third fundamental condition that requires equality of base pitches of a gear and a mating pinion.