Theoretical Analysis and Quick Calculation of Spur Gear Tooth Deformation

Zhang Jingcai; Liu Hongqi; Zhao Xiangfei; Yang Chao

doi:10.16578/j.issn.1004.2539.2015.10.012

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Theoretical Analysis and Quick Calculation of Spur Gear Tooth Deformation

更新时间：2022-10-20

- Theoretical Analysis and Quick Calculation of Spur Gear Tooth Deformation
- Vol. 39, Issue 10, Pages: 48-55(2015)
- 作者机构：
  
  1. 机械科学研究总院中机生产力促进中心制造工程研究所
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2015.10.012
  CLC：
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[1]张敬彩,刘红旗,赵向飞,杨超.直齿轮的轮齿变形分析及其快捷计算方法[J].机械传动,2015,39(10):48-55.

Zhang Jingcai, Liu Hongqi, Zhao Xiangfei, et al. Theoretical Analysis and Quick Calculation of Spur Gear Tooth Deformation. [J]. 39(10):48-55(2015)
[1]张敬彩,刘红旗,赵向飞,杨超.直齿轮的轮齿变形分析及其快捷计算方法[J].机械传动,2015,39(10):48-55. DOI： 10.16578/j.issn.1004.2539.2015.10.012.

Zhang Jingcai, Liu Hongqi, Zhao Xiangfei, et al. Theoretical Analysis and Quick Calculation of Spur Gear Tooth Deformation. [J]. 39(10):48-55(2015) DOI： 10.16578/j.issn.1004.2539.2015.10.012.

摘要

分析和论证了齿轮轮齿变形快捷计算的材料力学方法及其各种变形的计算公式,提出了修正的轮齿基础变形Weber-Banaschck公式,得到了与ISO非常吻合、不需修正的计算结果。采用无量纲齿形系数,分析了接触、弯曲、剪切、压缩和基础变形等各种变形曲线以及齿对总变形曲线的特点和规律,提出用最小变形δ0、左右端变形δL和δR三参数的抛物线来拟合总变形曲线,不仅有较高的精度,也为齿轮传动误差的变化规律分析和修形曲线优化的简化计算奠定了基础。

Abstract

A quick calculation method of gear tooth deformation based on mechanics of materials,and calculation formulas for each deformation are analyzed and demonstrated. A modified gear tooth basic deformation Weber- Banaschck formula is proposed. The result coinciding with ISO is achieved. The characteristic and rule of gear tooth contact,bending,shear,compress and basic deformation and so on are analyzed with a gear tooth form factor without unit. A method to approximate gear deformation curve with parabolic which defined by minimum deformation δ0,deformation at right and left side δRand δL. It has a high accuracy and a basic for analyzing of gear transmission error changing and simple calculating of gear tooth modification curve is provided.

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轮齿变形齿轮修形快捷计算方法

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