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阿基米德蜗轮齿面建模与计算

Modeling and calculation of Archimedes worm gear tooth surface

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【作者】 宋丹刘君晏克俊

【Author】 SONG Dan;LIU Jun;YAN Kejun;School of Mechanical and Precision Instrument Engineering,Xi’an University of Technology;

【机构】 西安理工大学机械与精密仪器工程学院

【摘要】 本文基于阿基米德蜗轮蜗杆(ZA蜗轮蜗杆)的加工原理及蜗轮蜗杆空间啮合原理,推导出阿基米德蜗轮齿面数学模型及蜗轮蜗杆啮合方程式。在蜗轮轴截面方向进行齿面网格划分,根据蜗轮蜗杆啮合原理以及齿面网格节点空间坐标的数值关系建立非线性方程组。最后通过MATLAB求解出阿基米德蜗轮空间网格点的坐标值及法矢,并在三坐标测量机上验证了算法的可行性。

【Abstract】 In this paper,based on the method for processing the Archimedes worm and worm gear(ZA),and the transformation of the space meshing coordinates of the worm and worm gear,the mathematical model of the tooth surface of ZA worm gear and the meshing equation is derived.Then the mesh of the tooth surface is carried out in the direction of worm gear axis,with the nonlinear equations established according to the meshing principle of the worm and worm gear and the numerical relationship of the mesh nodes.Finally,the coordinate value and the normal vector of the ZA worm gear grid points are obtained by MATLAB,with the feasibility of the algorithm verified on the three coordinate measuring machine.

【基金】 西安市科技计划资助项目(CXY1441(5))
  • 【文献出处】 西安理工大学学报 ,Journal of Xi’an University of Technology , 编辑部邮箱 ,2016年03期
  • 【分类号】TH132.44
  • 【被引频次】1
  • 【下载频次】174
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