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雙壓力角非對稱齒廓齒輪齒根彎曲應力的有限元分析

Finite element analysis of the tooth root bending stress of an unsymmetric gear with double pressure angles

  • 摘要: 推導出雙壓力角非對稱漸開線齒輪系統全齒廓方程,以及在單、雙齒嚙合上、下界點處坐標和載荷角的計算公式,編制了相應的參數化程序.對實例的有限元分析表明非對稱漸開線齒輪的齒根彎曲強度比對稱齒輪有較大提高.計算結果揭示了由于時變嚙合剛度的影響齒根彎曲應力在一個嚙合周期的變化規律.

     

    Abstract: This paper deduced the involute gear total tooth profile equations of unsymmetric teeth with double pressure angles, proposed the calculation formulas of coordinates and load angle at the upper and lower points of single and double teeth mesh areas, and programmed the relevant parametric programs. Compared with a standard involute gear, the unsymmetric involute gear could efficiently improve the tooth root bending strength by finite element analysis. Considering the time-variant mesh stiffness, the calculated results demonstrated the change of tooth root bending stress in one engagement period.

     

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