Study on conjugate curve bevel gear

According to the basic principle of conjugate curve meshing, this paper will discuss the conjugate curve meshing theory, focus on the research on the conjugate curve bevel gear meshing theory, deduce the contact line equation, meshing equation and tooth profile model of conjugate curve bevel gear, and verify the meshing characteristics of conjugate curve bevel gear. This paper mainly includes the following aspects:

① According to the relevant principle of conjugate curve meshing, the general commonness of conjugate curve bevel gear is studied, including the derivation of contact line equation and meshing equation of conjugate curve bevel gear meshing pair; The solvability of conjugate curve bevel gear and the existence of tooth profile are demonstrated; A new idea of constructing the tooth profile of conjugate curve bevel gear pair is put forward.

② According to the principle of conjugate curve meshing, the general equation of continuous pure rolling contact conjugate curve bevel gear pair using the helix on the indexing cone in the intersecting shaft gear transmission mechanism is deduced; According to differential geometry and the actual situation of gear transmission, the correct Meshing Conditions of pure rolling contact conjugate curve bevel gear pair are deduced.

③ According to the meshing principle of conjugate curve, the general equation of constructing conjugate curve bevel gear pair by using spatial arbitrary curve in intersecting shaft gear transmission mechanism is deduced; According to differential geometry and the actual situation of gear transmission, the correct Meshing Conditions of gear pair are deduced, and its basic design method is put forward.

④ Based on the research of continuous pure rolling contact and general contact conjugate curve bevel gear, the design method of multi-point contact conjugate curve bevel gear is proposed, and the theoretical models of two-point contact and five point contact conjugate curve bevel gear are proposed.

⑤ Aiming at three cases of continuous pure rolling contact, single point non pure rolling contact and multi-point contact bevel gear, the machining and experiment of three groups of conjugate curve bevel gear pairs are completed.

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