多软件协同计算样条曲线弧长与非圆齿轮齿廓设计方法

Multi Software Collaborative Calculation of Spline Curve Length and Non-circular Gear Tooth Profile Design Method

  • 摘要: 针对非圆齿轮节曲线计算复杂及专用设计软件缺失的问题,提出一种基于通用CAD/CAE软件协同的参数化设计方法。该方法通过构建极坐标下的样条曲线模型,利用CAD软件的几何查询功能获取高精度分段弧长,结合Matlab进行节曲线斜率的数值计算。在此基础上,利用Creo软件的扫描特征实现非圆齿轮齿廓的三维范成建模。实例验证表明,该方法避免了复杂的编程求解过程,相比传统离散点描点法,显著提高了非圆齿轮齿廓的连续性与设计精度,为非圆齿轮的低成本设计提供了有效途径。

     

    Abstract: A parameterized design method based on general CAD/CAE software collaboration is proposed to solve the problems of lack of specialized design software to calculation of non-circular gear pitch curve. This method constructs a spline curve model in polar coordinates, uses the geometric query function of CAD software to obtain high-precision segmented curve lengths, and combines Matlab software to calculate the slope of the curve. On this basis, the solid sweep feature of Creo software is used to get three-dimensional modeling of non-circular gear machining tooth profiles. Case studies have shown that this method avoids complex programming solving processes and significantly improves the continuity and design accuracy of non-circular gear tooth profiles compared to traditional discrete point tracing methods, providing an effective approach for low-cost design of non-circular gears.

     

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