Analysis of the Influence of Design Parameters on Bending Stress of Cylindrical Gear With Hyperbolic Circular Arc Tooth Line
The tooth surface equation of a hyperbolic circular arc tooth line cylindrical gear with variable displacement has been derived by taking the hyperbolic circular arc tooth line cylindrical gear with variable displacement as the research object.Based on the obtained mathematical model of the tooth surface,the influence of the displacement coefficient on the tooth root bending stress is calculated by the finite element method.On this basis,the influence of design parameters such as cutter head radius,modulus,tooth width and cutter tip fillet radius on tooth root bending stress is studied and analyzed.The results show that when the displacement coefficient is-0.2～0.2,the root bending stress of the driving wheel and the driven wheel decreases obviously with the increase of displacement coefficient.The greater the modulus is,the smaller the root bending stress is.The bending stress at the root of the tooth decreases first and then becomes stable with the increase of tooth width and tool tip fillet radius.When the tooth width remains unchanged,the bending stress of the tooth root decreases with the increase of the cutter radius.The analysis results will provide a basis for further research on parameter optimization and selection of hyperbolic circular arc gear with variable displacement.
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