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首页> 外文期刊>Journal of Advanced Mechanical Design, Systems, and Manufacturing >Modeling and analysis of mesh stiffness for straight beveloid gear with parallel axes based on potential energy method
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Modeling and analysis of mesh stiffness for straight beveloid gear with parallel axes based on potential energy method

机译：基于势能法的平行轴直齿轮齿面刚度建模与分析。

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摘要

In this paper, a potential energy based slice grouping method was proposed to calculate the mesh stiffness for straight beveloid gears with parallel axes. The mathematical mesh stiffness model was derived. The finite element tooth contact model was developed and the loaded tooth contact analysis was conducted to calculate the mesh stiffness. The verification for the mesh stiffness was conducted with the error 3 %, which proves the feasibility and accuracy. Then, the effects of parameters such as pressure angle, pitch cone angle, and profile shift coefficient on the mesh stiffness were investigated. Results show that the normal pressure angle and the tooth width have obvious effects both on the single tooth and synthesized mesh stiffness. When pressure angle is less than 20°, mesh stiffness will be increased with the increase of pressure angle. However, it decreases rapidly when the pressure angle exceeds 20°. Both the single tooth and synthesized mesh stiffness increase obviously as the tooth width increases. The increase of the cone angle and addendum coefficient have a little effect on the single tooth mesh stiffness, but have the obvious incremental effects on the synthesized mesh stiffness. The contact ratio increases obviously with the increase of the addendum coefficient. The profile shift coefficient and the clearance coefficient have unsubstantial effects both on the single and synthesized mesh stiffness.
机译：本文提出了一种基于势能的切片分组方法来计算具有平行轴的直齿锥齿轮的啮合刚度。推导了数学网格刚度模型。建立了有限元齿接触模型，并进行了载荷齿接触分析以计算网格刚度。网格刚度的验证误差为3％，证明了可行性和准确性。然后，研究了压力角，螺距锥角和轮廓位移系数等参数对网格刚度的影响。结果表明，法向压力角和齿宽对单齿和合成网格刚度都有明显影响。当压力角小于20°时，网格刚度将随着压力角的增加而增加。但是，当压力角超过20°时，压力会迅速降低。单齿和合成网格刚度都随着齿宽的增加而明显增加。锥角和齿顶角系数的增加对单齿网格刚度影响不大，但对合成网格刚度却有明显的增量影响。接触比随着齿顶系数的增加而明显增加。轮廓位移系数和间隙系数对单个和合成网格刚度都没有实质性影响。

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