The paper presents a method for determining the effect of teeth correction in an Archimedes worm gear on the contact strength, wear, and life of teeth of the worm wheel. The regularities regarding the effect of correction on contact and tribocontact parameters are established.

Total hip arthroplasty is a complex procedure. The achievements of implantology enabled the development of a faithful representation of hip joint physiology as well as the production of materials that can successfully replace damaged natural tissues. The challenge is to correctly select the geometry of the endoprosthesis adequate to the load of the joint. Materials used for endoprosthesis are a metal head and a polymer cup (e.g. PE-UHMW). The main interactions in the endoprosthesis are friction and contact pressure, which must not exceed their limit. Exceeding them causes the destruction of the biomechanical system -plastic deformation of the polymer that is too large and the formation of unacceptable radial clearances. The paper presents the author's empirical method of determining the contact pressures in the tribological pair of the acetabulum -the head of the hip joint endoprosthesis. Based on the obtained research results, it was shown that the developed method gives correct solutions to the contact problem and gives reliable results. The assumption for the work was to prove that empirical methods give correct solutions to contact problems on a par with simulation methods such as FEM. The aim of the work was to demonstrate the correctness of the author's empirical method for determining the maximum contact pressures. Based on the author's developed calculation method of hip joint endoprosthesis contact parameters, the impact on maximum contact pressure and the angle of contact of the joint load was estimated depending on the diameter of the endoprosthesis and radial clearance. The correctness of changing the values of maximum contact pressure from the mentioned parameters was determined. Correspondingly: an increase in joint load causes a linear increase in the maximum contact pressure; increasing the diameter of the endoprosthesis head -their non-linear decrease, and increasing radial clearance -their increase.

Based on the elaborated calculation method he authors method for determining the wear and durability of gears was employed to measure the maximum contact pressures, linear wear of teeth and durability of the gear with height correction of the profile. The optimal condition width in involute helical gears is indicated ensuring constant length of the line of contact between the meshing gears. As a result, it was possible to determine variations in the parameters for the optimized gear describing the meshing gears at different values of the profile correction coefficients.

This paper presents results of a study investigating worm gears consisting of polymer worm wheels and steel involute and Archimedes worms. The author uses his own calculation method to predict polymer wheel wear, gear life and maximum contact pressure in mesh. The effect of tooth correction and wear on gear life and contact pressure is considered. Cases of double and triple tooth engagement are analysed. The worm wheel is made of non-reinforced polyamide PA6. Quantitative and qualitative relationships are established between the maximum initial contact pressure along tooth profile and the tooth correction coefficient. Tooth wear causes a considerable decrease in contact pressure, with the highest decrease observed at the exit of engagement. The maximum contact pressure is generated at the exit of engagement. The same trend is observed for tooth wear. The minimum gear life is observed at the exit of engagement. It increases linearly with increasing the coefficient of tooth correction. The gear life significantly increases (by approx. 56%) in triple tooth engagement compared to double tooth engagement.