基于啮合理论的双导程ZN型蜗杆副精确建模  

Exact solid-modeling of double pitch ZN-type worm gears based on meshing theory

作　　者：舒林森[1] 曹华军[1] 许磊[1] 李智勇 

机构地区：[1]重庆大学机械传动国家重点实验室,重庆400044 [2]重庆机床(集团)有限责任公司,重庆400055

出　　处：《重庆大学学报（自然科学版）》2012年第11期21-27,共7页Journal of Chongqing University

基　　金：国家重点基础研究发展计划(973计划)项目(2011CB013400);'十二五'国家科技支撑计划项目(2011BAF11B09);教育部博士点基金项目(20110191110005)

摘　　要：蜗杆副精确建模是蜗杆副计算机辅助分析的重要环节,所建模型精度直接影响后续CAE分析的准确性。针对这一问题,提出一种基于啮合理论的双导程ZN型蜗杆副精确建模方法。首先分析双导程ZN型蜗杆副加工成形原理及特点,给出该蜗杆副几何特征的数学方程,再通过NURBS曲面插值建立蜗杆副工作齿面及边界曲面,最后由曲面修剪缝合生成双导程ZN型蜗杆副实体模型。工作齿面偏差分析表明,采用该方法所建立的双导程ZN蜗杆副模型偏差极小,能满足后续计算机辅助分析的要求,为蜗轮类复杂结构设计提供一种新思路。Exact solid-modeling of worm gears is very important for computer aided analysis,the model precision directly influences the accuracy of the subsequent CAE analysis.Aimed at the problem,a method for exact solid-modeling of double pitch ZN-type worm gears is presented based on meshing theory.Firstly,the paper analyzes the forming principle and characteristics of double pitch ZN-type worm gears and then deduces the mathematical equations of double pitch ZN-type worm gear;secondly,gear tooth working surface and boundary surfaces of worm gears are reconstructed by NURBS surface interpolation;finally,the three dimensional solid model of double pitch ZN-type worm gears is generated by trimming and stitching the surface.Error analysis shows that the geometric error of double pitch ZN-type worm gears established by this method is minimal,and it can meet the requirements of the subsequent CAE analysis,and proposes a new thought for the complex structure design of worm gears.

关 键 词：精确建模 啮合理论 双导程 ZN型蜗杆副 曲面插值 

分 类 号：TH132.4[机械工程—机械制造及自动化]