A New Modification Method with Double Spline Curve for the Tooth Surface Design of Spur Gear

Wenjun Fan; Yuansheng Zhou; Xueqing Wang; Jinyuan Tang

doi:10.16578/j.issn.1004.2539.2021.02.009

您当前的位置：

首页 >

文章列表页 >

A New Modification Method with Double Spline Curve for the Tooth Surface Design of Spur Gear

Design· Calculation | 更新时间：2022-11-10

- A New Modification Method with Double Spline Curve for the Tooth Surface Design of Spur Gear
- Journal of Mechanical Transmission Vol. 45, Issue 2, Pages: 55-62(2021)
- 作者机构：
  
  1.中南大学机电工程学院，湖南长沙 410083
  2.中南大学高性能复杂制造国家重点实验室，湖南长沙 410083
  3.长沙中联重科环境产业有限公司，湖南长沙 410083
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2021.02.009
  CLC：
扫描看全文
范文君,周元生,汪雪晴等.一种新的直齿轮双样条修形齿面设计[J].机械传动,2021,45(02):55-62.

Fan Wenjun,Zhou Yuansheng,Wang Xueqing,et al.A New Modification Method with Double Spline Curve for the Tooth Surface Design of Spur Gear[J].Journal of Mechanical Transmission,2021,45(02):55-62.
范文君,周元生,汪雪晴等.一种新的直齿轮双样条修形齿面设计[J].机械传动,2021,45(02):55-62. DOI： 10.16578/j.issn.1004.2539.2021.02.009.

Fan Wenjun,Zhou Yuansheng,Wang Xueqing,et al.A New Modification Method with Double Spline Curve for the Tooth Surface Design of Spur Gear[J].Journal of Mechanical Transmission,2021,45(02):55-62. DOI： 10.16578/j.issn.1004.2539.2021.02.009.

摘要

提出一种针对直齿轮的双样条修形方法，分别采用样条曲线来设计修形后齿面的齿廓线及齿向线，齿面由齿廓样条曲线沿齿向样条曲线扫掠得到。相对于传统复合修形，双样条修形方法的控制参数更多，使得齿面几何改变更灵活，并能实现全齿面点的更高阶次连续。通过有限元分析（FEA），对比分析了双样条修形的优越性，结果表明，双样条修形与传统复合修形相比，可以实现更高啮合性能的齿面设计，其中，啮合传递误差曲线和啮合刚度曲线更平缓，静态传递误差频谱幅值减小。通过加工实验和齿面精度检测，验证了双样条修形方法在齿轮实际加工中的可行性。研究表明，新提出的双样条修形方法是实现高性能直齿轮修形设计的一种有效方法。

Abstract

A new tooth surface design is proposed to spur gears with a tooth surface modification defined by double spline curves， which are used to represent the tooth profile and longitudinal profile， respectively. The tooth surface is obtained by sweeping the tooth profile spline along the longitudinal profile spline. Compared to the traditional comprehensive modification， the tooth surface modification with double spline curves has more control variables， which makes the change of tooth surface geometry more flexible. Moreover， it can achieve the higher order continuity. Through the Finite Element Analysis （FEA）， the advantages of double spline curves modification are analyzed by comparing it with traditional comprehensive modification. The comparison indicates it has superior meshing performances， including the smooth curves of both transmission error and meshing stiffness and decreased frequency amplitudes of static transmission errors. The manufacturing feasibility of the proposed design is also validated by the real machining and measurement. The results show that the proposed new tooth surface modification method is an advanced and practical technology to design high performance spur gear.

关键词

直齿轮修形样条曲线双样条修形有限元分析

Keywords

Spur gearModificationSpline curveDouble spline curve modificationFEA

references

孙月海，张策，陈树勋，等.直齿轮齿廓修形的实验研究［J］.中国机械工程，2003，14（8）：634-636.

SUN Yuehai，ZHANG Ce，CHEN Shuxun，et al.Experimental investigation on the transmission of spur gears with profile modification［J］.China Mechanical Engineering，2003，14（8）：634-636.

WANG J D，HOWAED I.A further study on high contact radio spur gears in mesh with double scope tooth profile modification［C］//Prceedings of the ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference.American Society of Mechanical Engineers Digital Collection，2007：255-262.

TAVAKOLI M S，HOUSER D R.Optimum profile modifications for the minimization of static transmission errors of spur gears［J］.Journal of Mechanical Design，1986，108：86-94.

唐进元，陈兴明，罗才旺.考虑齿向修形与安装误差的圆柱齿轮接触分析［J］.中南大学学报（自然科学版），2012，43（5）：1703-1709.

TANG Jinyuan，CHEN Xingming，LUO Caiwang.Contact analysis of spur gears based on longitudinal modification and alignment errors［J］.Journal of Central South University（Science and Technology），2012，43（5）：1703-1709.

魏延刚.渐开线直齿圆柱齿轮的边缘效应与齿向修形初探［J］.中国机械工程，2011，22（12）：1413-1417.

WEI Yan'gang.Research on edge effect and longitudinal modification of involute spur cylindrical gear pairs［J］.China Mechanical Engineering，2011，22（12）：1413-1417.

ZHANG D Z.Gear comprehensive modification and its finite element analysis［C］//Proceedings of the Second International Conference on Electric Information & Control Engineering. IEEE Computer Society，2012：732-735.

ZHANG G P，LI X Y，WANG N N，et al.Comprehensive modification technology of involute spur gear based on optimal transmission performance［J］.Advances in Materials Science and Engineering，2018：1-8.

杨硕文，唐进元.一种新的直齿轮复合修形设计方法［J］.中南大学学报（自然科学版），2019，50（5）：1082-1088.

YANG Shuowen，TANG Jinyuan.A new design method for compound modification of spur gear［J］.Journal of Central South University（Natural Science Edition），2019，50（5）：1082-1088.

SIMON V.Optimal tooth modifications for spur and helical gears［J］.ASME Journal of Mechanisms，Transmissions and Automation in Design，1989，111（4）：611-615.

袁亚洲，邵年，陆宝春，等.基于接触有限元分析的渐开线齿轮修形曲线的研究［J］.机械传动，2017，41（4）：34-37.

YUAN Yazhou，SHAO Nian，LU Baochun，et al.Research of involute gear modification curve based on finite element contact analysis［J］.Journal of Mechanical Transmission，2017，41（4）：34-37.

ZHANG S S，ZHENG J Z，CHENG L.Theoretical and experimental study on optimum design of gear profile modification curves［J］.Materials Science Forum，2004，471：269-272.

徐香翠，宋爱平，张礼峰，等.齿轮综合修形方法的研究［J］.机械传动，2011，35（11）：21-25.

XU Xiangcui，SONG Aiping，ZHANG Lifeng，et al.Research on gear comprehensive modification［J］.Journal of Mechanical Transmission，2011，35（11）：21-25.

陈立锋，罗善明.B 样条曲面在重载齿轮修形中的应用［J］.机械工程师，2006（7）：78-80.

CHEN Lifeng，LUO Shanming.Research on the profile relief of the heavy load gear with B-spline hyperpatch［J］.Mechanical Engineer，2006（7）：78-80.

杨帆，罗齐汉，黄海，等.基于SolidWorks的点线啮合齿轮三维模型的研究［J］.机械传动，2017，41（3）：44-49.

YANG Fan，LUO Qihan，HUANG Hai，et al.Research of the three-dimensional model of point-line meshing gear based on SolidWorks［J］.Journal of Mechanical Transmission，2017，41（3）：44-49.

盛兆华.齿廓、齿向修形直齿轮的加载接触分析及振动响应关联规律［D］.长沙：中南大学，2016：12-15.

SHENG Zhaohua.Study on load tooth contact analysis and vibration response of spur gear with modifications［D］.Changsha：Central South University，2016：12-15.

苏步青，华宣积.应用几何教程［M］.上海：复旦大学出版社，2012：161-167.

SU Buqing，HUA Xuanji.Book of Applied Geometry［M］.Shanghai：Fudan University Press，2012：161-167.

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Multi-condition and Multi-objective Modification Optimization Design of Spur Gear

Research on Loaded Transmission Error of Internal Short Tooth Spur Gears

Research on the Time-varying Meshing Stiffness Algorithm of Spur Gears Based on an Improved Potential Energy Method

Study on Tooth Wear of Spur Gears Under the Mixed Elastohydrodynamic Lubrication

Gear Whine Optimization Design of Diesel Engine Timing Gear System

Related Author

No data

Related Institution

AECC Hunan Aviation Powerplant Research Institute

School of Mechanical Engineering, Northwestern Polytechnical University, Xi´an

The Research Institute of CSIC

Department of Aviation Mechanical Engineering and Management in Qingdao Branch, Naval Aviation University

School of Mechanotronics and Vehicle Engineering, Chongqing Jiaotong University

⁰