考虑齿面剥落的齿轮传动系统动力学建模

田晶; 汪才; 李曦颐; 邵增德; 谢肇阳

doi:10.3969/j.issn.2095-1248.2024.05.001

沈阳航空航天大学学报 >

2024 , Vol. 41 >Issue 5: 1 - 14

DOI: https://doi.org/10.3969/j.issn.2095-1248.2024.05.001

航空宇航工程

考虑齿面剥落的齿轮传动系统动力学建模

田晶 ^,¹ ,
汪才 ¹ ,
李曦颐 ¹ ,
邵增德 ² ,
谢肇阳 ¹

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^1. 沈阳航空航天大学辽宁省航空推进系统先进测试技术重点实验室，沈阳 110136
^2. 中国航发沈阳发动机研究所，沈阳 110015

田晶（1987-），男，辽宁锦州人，教授，博士，主要研究方向：航空发动机结构强度、振动及噪声，E-mail：tianjing@188.com。

收稿日期: 2024-07-22

网络出版日期: 2024-12-11

基金资助

国家自然科学基金(12172231)

辽宁省兴辽英才计划项目(XLYC2203042)

沈阳市中青年科技创新人才支持计划项目(RC220439)

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Dynamic modelling of gear transmission system considering tooth flank spalling

Jing TIAN ^,¹ ,
Cai WANG ¹ ,
Xiyi LI ¹ ,
Zengde SHAO ² ,
Zhaoyang XIE ¹

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^1. Liaoning Province Key Laboratory of Advanced Test Technology for Aeronautical Propulsion System，Shenyang Aerospace University，Shenyang 110136，China
^2. AECC Shenyang Engine Research Institute，Shenyang 110015，China

Received date: 2024-07-22

Online published: 2024-12-11

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摘要

针对现有能量法无法准确描述齿轮存在齿面剥落的时变啮合刚度，造成齿轮传动系统故障的动力学建模方法不完善的问题，提出改进能量法。考虑不同类型的齿面剥落，建立一种考虑齿面剥落的时变啮合刚度公式。将所建立的齿面剥落时变啮合刚度公式引入六自由度传动系统，建立一个能够模拟齿面剥落的齿轮传动系统动力学模型。采用Newmark-β法进行求解，将数值模拟结果与试验数据进行对比分析，验证了所建立模型的准确性。基于该模型分析了不同齿面剥落关键参数对时变刚度的影响和对应的刚度变化规律及动力学响应的频率特性规律。研究结果表明，考虑齿面剥落的齿轮传动系统特征频率左右两侧会出现间距10Hz的次生频率峰值。

关键词： 时变啮合刚度; 齿面剥落; 齿轮传动系统; Newmark-β法; 频率特性

本文引用格式

田晶 , 汪才 , 李曦颐 , 邵增德 , 谢肇阳 . 考虑齿面剥落的齿轮传动系统动力学建模[J]. 沈阳航空航天大学学报, 2024 , 41(5) : 1 -14 . DOI: 10.3969/j.issn.2095-1248.2024.05.001

Abstract

Addressing the issue that the current energy method cannot accurately describe the time-varying meshing stiffness of the gears with tooth flank spalling，resulting in the imperfect dynamic modelling method for the fault of gear transmission system，an improved energy method was proposed.Considering various types of tooth frank spalling，a time-varying meshing stiffness formula that consi-dered the tooth frank spalling was established.The established time varying meshing stiffness was introduced into a six-degree-of-freedom transmission system，creating a dynamic model of the gear transmission system that could simulate the tooth frank spalling.The Newmark-β method was used for solving，the numerical simulation results were compared and analyzed with the experimental data to verify the accuracy of the established model.Based on this model，the influence of the main parameters of tooth frank spalling on the time-varying stiffness，the corresponding stiffness variation law and the frequency characteristics of the dynamic response were investigated.The results show that the secondary frequency peak with a spacing of 10 Hz occurs on both sides of the characteristic frequency of the gear transmission system with tooth frank spalling.

Key words： time-varying meshing stiffness; tooth flank spalling; gear transmission system; Newmark-β method; frequency characteristics

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