应用曲线参数方程实现弧形套筒在Creo中的建模

Modeling Curved Sleeve in Creo Using Curve Parameter Equation

Creo、UG、CAXA等大部分三维绘图软件都具有绘制复杂公式曲线即方程曲线的功能。在绘制公式曲线时需要输入相关的参数方程。这些参数方程与原始的数学方程在表现形式上有很大的区别。参数方程通常表现为笛卡尔坐标、柱坐标和球坐标三种坐标形式,参数方程中的参数表示也有规定。通过分析数学方程与参数方程的特点及联系,提出由数学方程转换为参数方程的两种方法—参数法和三角函数法。并以弧形套筒的建模为例,展示了由数学方程转换为参数方程的具体过程。

There is one fuctionof drawing complex formula curves or equation curves in the most 3D drawing softwaressuch as Creo,UG,CAXA.When drawing formula curves,the designer need to input the relevant parameter equations.These parametric equations differ greatly from the original mathematical equations in their form of expression.The parametric equations usually appear in three coordinate forms:Cartesian coordinates,cylindrical coordinates,and spherical coordinates.The parameter expressed in the parametric equations are also specified.By analyzing the characteristics and relations between mathematical equations and parametric equations,two meth⁃ods of transforming mathematical equations into parametric equations are put forward,that are parameter method and trigonometric func⁃tion method.By building the model of the curved sleeve,the specific process of converting from a mathematical equation to a parametric equation is shown.