High-order contact analysis method of spiral bevel gear tooth surface based on ease-off
In order to deal with the shortcomings of the second-order contact analysis method of spiral bevel gears and the complex problems of its high-order contact theory realization,based on the combination of ease-off topological surface equation and tooth surface equation of spiral bevel gears and the analytical relationship between transmission error and contact trace and ease-off,a high-order contact analysis method for discrete tooth surfaces with high-order contact parameters of high-order derivative of transmission ratio and short-range curvature of contact trace was proposed,and a simple calculation method based on finite difference was established.The results showed that the fluctuation values of the high-order derivative of the transmission ratio of the high-order tooth surface were 0.003 1,0.001 9 and 0.001,respectively,which reflected the global characteristics of the tooth surface morphology.The short-range curvature fluctuation values of the contact line were 0.000 076 9,0.000 586 and 0.000 127,respectively,indicating the complexity of the tooth surface contact process along the contact trace.The results not only verified the correctness and effectiveness of the discrete tooth surface high-order contact analysis method,but also showed that the method reduced the calculation difficulty of high-order contact parameters,providing the possibility for the global design of tooth surface.
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