Establishment of simplified model of spiral bevel gear cutting machine tool

Taking the pinion in the spiral bevel gear transmission pair with transmission ratio of 0.5 as an example, the simulation analysis of gear cutting is carried out. Before the simulation of gear cutting, the bevel gear blank model must be established, and the geometric parameters of the gear blank need to be designed to establish the gear blank model. The geometric parameters of spiral bevel gear blank are divided into original parameters and calculation parameters.

Calculate other relevant parameters of spiral bevel gear blank according to the original parameters of spiral bevel gear blank:

Pitch cone angle of spiral bevel gear blank:

Outer cone distance of spiral bevel gear blank:

Addendum angle of spiral bevel gear blank:

Root angle of spiral bevel gear blank:

Base cone angle of spiral bevel gear blank:

Bevel angle of tooth blank root of spiral bevel gear:

Due to the calculated root cone angle δ F < base cone angle δ b. The root cone angle of tapered spiral bevel gear must be greater than or equal to the base cone angle, so the root cone angle is taken δ The angle value of F is 24.85 °.

Bevel angle of tooth blank surface of spiral bevel gear:

Tooth width of spiral bevel gear blank:

Adjustment angle of spiral bevel gear blank:

Cutting area angle of spiral bevel gear blank:

According to the original parameters and calculated parameters of spiral bevel gear blank, the engineering drawing of spiral bevel gear blank is drawn by CAD software, as shown in Figure 1.

According to the engineering drawing of spiral bevel gear blank, the gear blank model of bevel gear is established in the stock component of VERICUT model of gear cutting machine tool. The VERICUT model of gear blank is shown in Figure 2. Restrict the movement and rotation of bevel gear blank to make its rotation axis coincide with the NC rotation axis of tilting table, and install it on the fixture of gear cutting machine tool, as shown in Figure 3.

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