基于双三次B样条曲面的ZA蜗轮实体建模方法  

Solid modeling method of ZA worm-gear based on bicubic B-spline surface

作　　者：李立新[1] 曹谊勃[1] 

机构地区：[1]浙江大学机械设计研究所,浙江杭州310027

出　　处：《工程设计学报》2009年第4期286-291,共6页Chinese Journal of Engineering Design

摘　　要：蜗轮蜗杆传动在各类机械设备的传动系统中应用广泛.蜗轮的齿面是一种复杂的空间曲面,所以在采用有限元方法进行接触分析时,建立准确的蜗轮实体模型是获得正确结果的前题.提出一种基于双三次B样条插值曲面在SolidWorks中建立蜗轮实体模型的方法:先根据蜗轮齿面理论方程用VC++编程计算一组插值点阵,再反求双三次B样条插值曲面的控制顶点,最后通过ACIS中间文件将所得曲面转入SolidWorks中,完成后续实体建模工作.与已有方法不同,所提方法中插值曲面的精度可以根据需要自由控制,因此不存在系统误差.以一个ZA蜗轮为例给出了计算结果并与已有方法进行了对比.Worm-gear transmission is widely used in mechanical equipments. Due to the fact that worm gear tooth surface is a complex spatial surface, an accurate solid model is indispensable to obtain correct result for contact analysis through FEA method. A new method for modeling solid model of worm-gear in SolidWorks is proposed based on bicubic B-spline interpolated surface. It includes the following steps： calculating a set of points to be interpolated from the theoretical formulae of worm-gear tooth surface by VC＋＋ ; reconstructing the interpolated bicubic B-spline surface by calculating the corresponding set of control vertexes; importing the resulting surface into SolidWorks in ACIS files to complete the remaining modeling work. Different from the published methods, this method can control the accuracy of surface freely, and therefore there exists no system errors. A ZA worm is calculated as an illustration and the obtained result is compared with the ones from the published methods.

关 键 词：蜗轮 B样条曲面 实体建模 SOLIDWORKS 

分 类 号：TP391.7[自动化与计算机技术—计算机应用技术] TH128[自动化与计算机技术—计算机科学与技术]