具有对数-指数参数特征的螺旋曲面参数化精确造型

对参数中含有对数-指数的新型螺旋曲面进行质点的成形运动学分析和描述,依据质点成形运动组合系统化定义和分类新螺旋曲面,以揭示此型螺旋曲面几何特征、数学性质、工程应用可能及推测新型螺旋曲面.构建具有对应具有对数-指数参数特征的螺旋曲线数学模型,应用Pro/E二次开发工具Pro/TOOLKIT,修正的螺旋曲面扫描算法和参数传递原理构建单一全关联数据库.对整个模型任意点,任意特征数字信息的提取实现了该类螺旋曲面的精确参数化造型.该参数化模型中对应具有对数-指数参数特征的螺旋曲线生成直接来自数学模型,所构建的参数化模型理论上无任何误差.

Parametrically Accurate Modeling of New Spiral Surface with Logarithmic-Index Parameter Characteristics

In this paper, the particle that moves to form the spiral surface with logarithmic-index parameter characteristics was analyzed and described kinematically. New spiral surface systematic was defined and classified based on combination movement of particles forming to reveal the geometry characteristics, the mathematical properties, the engineering application possibility and then speculate the new type of spiral surface. The mathematical model of new spiral curve with logarithmic-index parameter characteristics was built, then the secondary development tool Pro/TOOLKIT of Pro/E, fixed scanning algorithm of spiral surface and parameter passing principle were used to build a single full relational database. The extraction of any point on the entire model and any feature of digital information was attracted to achieve accurate parametric modeling of the spiral surface. The formation of the new spiral curve with logarithmic-index parameter characteristics correspond to the parametric model was directly from the mathematical model, and the parametric model constructed had no error in theory.