变双曲圆弧齿线圆柱齿轮齿面重构与误差分析

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英文篇名：Reconstructing Tooth Surface of Cylindrical Gear with Variable Hyperbolic Circular-Arc-Tooth-Trace and the Error Analysis 作者：汤梦 ; 侯力 ; 陈帅 ; 赵斐 英文作者：TANG Meng;HOU Li;CHEN Shuai;ZHAO Fei;School of Manufacturing Science and Engineering,Sichuan University; 关键词：变双曲圆弧齿线圆柱齿轮 ; NURBS ; 齿面重构 ; 型值点 英文关键词：Cylindrical Gear with Variable Hyperbolic Circular-Arc-Tooth-Trace;;NURBS;;Tooth Surface Reconstruction;;Type Value Point 中文刊名：JSYZ 英文刊名：Machinery Design & Manufacture 机构：四川大学制造科学与工程学院; 出版日期：2019-06-08 出版单位：机械设计与制造 年：2019 基金：国家自然科学基金资助项目—新型圆弧曲线圆柱齿轮传动应用基础研究(51375320) 语种：中文; 页：JSYZ2019S1018 页数：4 CN：S1 ISSN：21-1140/TH 分类号：79-82

摘要

为建立变双曲圆弧齿线圆柱齿轮的数字化模型,提出一套基于NURBS的曲线曲面数字化造型方法。利用基于啮合原理推导的齿面方程获得齿面数据点,对这些数据点进行双三次NURBS齿面重构,建立相应齿面的三维参数化模型,最后对参数化模型进行误差分析。基于实例,探究型值点、首末端切矢以及切矢模长的选取对重构齿面拟合误差的影响。重构后的齿面拟合误差在mm的数量级,满足工程使用要求。此三维实体模型构建方法的提出为针对该齿轮的RTCA及LTCA的研究奠定了一定的基础。
        In order to establish the digital model of cylindrical gear with variable hyperbolic circular-arc-tooth-trace,a digital curve modeling method based on NURBS is proposed. Points cloud data of the tooth surface are obtained based on the tooth surface equation deduced from the meshing principle. Then the double three NURBS tooth surface reconstruction are performed on these points data to establish a three-dimensional parametric model of the corresponding tooth surface. Finally,the error analysis of the parameterized model is carried out. The influence of the selection of the type value point,the first and end tangentvector and the tangent vector length on the fitting error of the reconstructed tooth surface is analyzed based on the examples. The fitting error of the reconstructed tooth surface is in the order of magnitude ofmm,which meets the requirements of the engineering use. The method of building 3D solid model builds a foundation for the study of the RTCA and LTCA of the gear.

引文

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