首页|基于时变啮合刚度的修形齿轮承载接触分析

基于时变啮合刚度的修形齿轮承载接触分析

扫码查看
原文链接
  • NETL
  • NSTL
  • 万方数据
  • 维普
为了解决传统齿轮承载接触分析力学解析方法难以考虑齿廓修形的问题,以齿廓修形渐开线直齿轮为研究对象,基于时变啮合刚度,提出了一种齿轮承载情况下齿间载荷分配系数与齿面接触应力解析算法.通过对比齿轮承载接触时接触点在啮合线方向的变形量与修形量,提出修形齿轮单双齿啮合状态判定方法,并计算不同状态下的啮合刚度;推导修形齿轮的啮合力、刚度与变形的力学关系,建立各啮合齿对的齿间载荷分配系数计算模型,应用赫兹接触理论求解齿面接触应力;分别在不同修形高度、修形曲线与配对齿数情况下,计算分析多种齿廓修形算例的齿间载荷分配系数与齿面接触应力.结果表明,解析算法求解的齿间载荷分布系数、齿面接触应力及相应单双齿啮合区间与有限元结果相一致,相对误差较小,证明了该算法有较高的精度与稳定性,为齿廓修形齿轮承载接触分析提供一种高效便捷的新方法.
Loaded Tooth Contact Analysis of Involute Spur Gear with Profile Modification Based on Time-Varying Meshing Stiffness
In order to address the challenge of traditional mechanical analytical methods in loaded tooth contact analysis faced difficulties in considering gear profile modifications.Based on time-varying mesh stiffness,an analytical algorithm for load distribution factors and tooth surface contact stress under load con-ditions is proposed,and involute spur gears are taken as the research object.Comparing the deformation a-mount with the modification amount during loaded tooth contact,a method for determining the single or double-tooth engagement state of modified gears is proposed.The meshing stiffness is then calculated for different engagement states.Additionally,the mechanical relationships among meshing force,stiffness,and deformation for modified gears are derived.A calculation model for load distribution factors for each en-gaged pair is established,and Hertz contact theory is applied to solve tooth surface contact stress.Subse-quently,various examples of gear profile modifications are analyzed under different modification heights,modification curves,and paired tooth numbers,calculating load distribution factors and tooth surface contact stress.The results indicate that the load distribution factors and tooth surface contact stress obtained by the analytical algorithm are consistent with finite element results,and the relative error is small,thereby proving that the algorithm has high precision and stability.Therefore,this method provides an efficient and conven-ient new approach for loaded tooth contact analysis after profile modifications.

loaded tooth contact analysistime-varying meshing stiffnessprofile modificationload distri-butioncontact stress

王浩、韩振华、周酝晨、石万凯、单文桃、曹忠亮

展开 >

江苏理工学院机械工程学院,常州 213001

南京华秦光声科技有限责任公司,南京 210034

重庆大学机械传动国家重点实验室,重庆 400044

齿轮承载接触分析 时变啮合刚度 齿廓修形 载荷分配 接触应力

国家自然科学基金项目江苏省自然科学基金项目江苏省青蓝工程中青年学术带头人项目常州市领军型创新人才引进培育项目江苏理工学院研究生实践创新计划项目

52005229BK20201055KYQ20004CQ20210119XSJCX22_37

2024

10.13462/j.cnki.mmtamt.2024.04.038

组合机床与自动化加工技术
大连组合机床研究所 中国机械工程学会生产工程分会

组合机床与自动化加工技术

CSTPCD北大核心
影响因子：0.671
ISSN：1001-2265
年,卷(期)：2024.(4)
  • 19