New method for strength analysis of involute beveloid gears using fractal theory

The calculation of contact strength and stress of involute beveloid gears is difficult, and existing analysis methods encounter serious problems, such as long calculation time and poor accuracy, seriously affecting the promotion and development of these gears. To solve this technical problem, the geometric structure of involute beveloid gears is considered using the Hertz formula. In addition, the calculation methods for parameters, such as the contact ratio, contact ratio coefficient, and pitch cone angle coefficient, are determined. A Hertz contact model and a fractal contact model for involute beveloid gears were established using fractal theory, and the distribution law of contact stress was obtained. On this basis, a comparative analysis was conducted on the tooth surface contact stress obtained from the Hertz contact model, fractal contact model, and finite element model. The finite element analysis proves that the Hertz contact stress calculation formula and fractal contact model for involute beveloid gears established in this article have high accuracy, and can precisely reflect the actual contact stress value of the tooth surface.