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Stress calculation In the stress calculation, the basic parameters of the gear tooth number and modulus are taken as the basic factors (value range z=1730 and modulus m=26), ignoring the others, and selecting the maximum root stress and the overall maximum displacement on both sides. For the objective function. The number of levels of each factor is taken as 3, and the orthogonal calculation table is shown as shown. The orthogonal calculation table horizontal tooth number modulus / mm11722043306 orthogonal calculation results are shown. For the initial parameters of the LogiX gear, the relative pressure angle D=0.04b, the initial pressure angle A0=4b, and the initial base circle radius G0=12000mm.
Analysis of the LogiX gear, its meshing diagram and tooth deformation as shown, the figure shows the position of the largest deformation and its maximum deformation. The principal stress distribution is shown in the figure. The figure shows the magnitude of the principal stress on the dangerous section and the distribution of its position. It can be seen from the figure that the maximum stress occurs at the transition curve of the root. Under the same material, the same load and the same gear basic parameters, the orthogonal calculation results of the stress distribution diagram of the LogiX gear show that increasing the modulus and the number of teeth is beneficial to improve the strength of the LogiX gear and the involute gear. Moreover, the bending strength of the LogiX gear is much greater than the bending strength of the involute gear, and the root bending stress of the LogiX gear is much smaller than the corresponding involute gear. It can also be seen from their stress diagrams that the LogiX gear not only has a small peak stress, but also has a much higher stress distribution area than the involute gear, and the equal stress area is large, indicating the rationality of the LogiX gear stress distribution. However, under actual working conditions, the gears generally work under variable stress conditions, and the main cause of damage is fatigue damage. The life of a gear is not proportional to the maximum stress it is subjected to. Therefore, when comparing the bending strength of LogiX gears and involute gears, it is not possible to compare only the static stress values ​​calculated by the finite element method, and the bending fatigue strength of the two gears should be experimentally studied.
For LogiX gears, the calculation formula of the tooth surface contact stress can still be derived based on the contact stress formula of the two cylinder contact, combined with its parameters. According to the Hertz formula, the contact stress is [7]RH=FnPL(1-M12E1 1-M2E2)Q1Q2Q1Q2(1) where Fn normal pressure (N)L contact line length (mm) E1, E2 two cylindrical materials The modulus of curvature of the two cylinders of the elastic modulus M1, M2 is Poisson's ratio Q1, Q2. When the cylinder is in contact with the plane, Q2=] in the formula, when the cylinder is in contact with the concave cylinder, the minus sign is taken before Q2, otherwise the plus sign is taken.
Conclusion Through the above analysis and actual experiments, it is shown that (1) the same modulus and number of gears, LogiX gear is superior to conventional standard involute gear in both contact strength and bending strength. Moreover, as the number of gear teeth and the modulus increase, the bending strength increases. Therefore, the LogiX gear has small wear and long life. (2) LogiX gear transmission noise is lower than conventional involute gear transmission of the same parameters. Under the standard center distance installation, the LogiX gear transmission noise increase is smaller than the standard involute gear with the increase of the rotational speed, but the LogiX gear meshing performance is sensitive to the center distance change than the conventional involute gear transmission, which is under the standard center distance. The meshing performance is the best. The reason is that when the center distance changes, the relative radius of curvature at the meshing point of the LogiX gear will no longer be zero, and the contact strength will be significantly reduced, resulting in a significant increase in noise.