Tooth contact analysis of straight bevel gears in the function of the modification of number of teeth of the driving gear

Figures & data

Figure 1. The application of straight bevel gear in case of moving of moulding vat.

Figure 2. The main parameters of bevel gear pairs.

Figure 3. The profiles of bevel gear pairs on the main diameters (m = 10, z₁ = 20, z₂ = 30).

Figure 4. The type of the CAD models of the designed gears.

Table 1. The calculated parameters of the designed bevel gear pairs

The main parameters of the bevel gear pairs	Gear drive I.	Gear drive II.	Gear drive III.	Gear drive IV.	Gear drive V.
Number of teeth of the driving gear (z1)	20	21	22	23	24
Number of teeth of the driven gear (z2)	30
Module (m) [mm]	10
The largest pitch circle diameter of the driving gear (d01) [mm]	200	210	220	230	240
The largest pitch circle diameter of the driving gear (d02) [mm]	300
Half pitch angle of the pitch circle of the driving gear (${\delta }_{01}$) [°]	56.309	55.008	53.746	52.523	51.340
Half pitch angle of the pitch circle of the driven gear (${\delta }_{02}$) [°]	33.69	34.992	36.253	37.476	38.659
Effective pitch surface radius (Re) [mm]	180.277	183.098	186.01	189.01	192.093
Addendum on the largest diameter (f0) [mm]	10
Dedendum on the largest diameter (l0) [mm]	12
The largest tip circle diameter of the driving gear (df1) [mm]	211.094	221.469	231.827	242.168	252.493
The largest tip circle diameter of the driven gear (df2) [mm]	316.641	316.384	316.128	315.872	315.617
The largest root circle diameter of the driving gear (da1) [mm]	186.687	196.236	205.807	215.397	225.007
The largest root circle diameter of the driven gear (da2) [mm]	280.03	280.338	280.646	280.953	281.259
Face width (b) [mm]	51.507	52.313	53.145	54.003	54.883
Dedendum angle (λ) [°]	3.808	3.749	3.691	3.632	3.574
Tip cone angle of the driving gear (${\delta }_{f1}$) [°]	60.118	58.757	57.437	56.156	54.914
Tip cone angle of the driven gear (${\delta }_{f2}$) [°]	37.498	38.741	39.945	41.108	42.234
Root cone angle of the driving gear (${\delta }_{l1}$) [°]	52.501	51.258	50.055	48.891	47.765
Root cone angle of the driven gear (${\delta }_{l2}$) [°]	29.881	31.242	32.562	33.843	35.085
Circular pitch on the largest pitch circle diameter (t) [mm]	31.415
Clearance at flank (js) [mm]	1.570
Pitch circle tooth thickness on the largest diameters (Sax) [mm]	17.278
Transmission ratio (i)	1.5	1.428	1.363	1.304	1.25

Figure 5. The adoption of the coordinate system into the middle of the connection zone.

Figure 6. The adoption of the finite element mesh.

Table 2. The properties of the applied material

Density	7850 kg/m^3
Yield limit	250 MPa
Ultimate strength	460 MPa

Figure 7. Normal stress results for every bevel gear pairs.

Figure 8. The developed normal stresses in the function of the number of teeth.

Figure 9. Normal elastic strain results for every bevel gear pairs.

Figure 10. The developed normal elastic strain in the function of the number of teeth.

Figure 11. Normal deformation results for every bevel gear pairs.

Figure 12. The developed normal elastic strain in the function of the number of teeth.