基于齿面印痕控制的弧齿锥齿轮公差优化设计
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国家自然科学基金资助项目(50875211)


Optimal Design of Tolerance for Spiral Bevel Gears by Controlling Contact Path
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    摘要:

    应用基于特征变动的三维公差建模理论和传递矩阵累积方法,建立了系统综合安装误差与弧齿锥齿轮4个当量错位量的关系。给出了考虑安装误差的齿面接触分析算法,并对齿面印痕数字化特征完成了定义。以齿面啮合印痕相对于安装误差的敏感度为优化目标函数,在满足传动性能要求和成本限制的情况下,应用遗传算法对零部件精度进行优化。以弧齿锥齿轮为例,通过对优化前后啮合印痕、传动误差的比较,验证了该公差优化方法的可行性。

    Abstract:

    The relationship between system alignment errors and four equivalent misalignments was built through 3-D tolerances modeling theory and transfer matrix accumulating method based on feature variances. Tooth contact analysis algorithm with consideration of alignment errors was provided, and the contact pattern digital features were completely defined. In the situation of transmission performance requirements and cost constraints, the accuracy of parts was optimized based on genetic algorithms by using meshing relative to alignment errors sensitivity as the optimal objective function. Taking a pair of spiral bevel gears as an example, the feasibility of tolerance optimization method was verified by comparing the meshing and transmission errors before and after optimization.

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方宗德,郭琳琳,苏进展,王峰.基于齿面印痕控制的弧齿锥齿轮公差优化设计[J].农业机械学报,2011,42(7):223-228,234.

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