行星齿轮传动柔性齿圈齿根动应力计算及光纤光栅检测方法

王成龙; 周建星; 孙文磊; 王宏伟; 乔帅; 申勇

doi:10.7652/xjtuxb202006016

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行星齿轮传动柔性齿圈齿根动应力计算及光纤光栅检测方法

更新时间：2025-07-09

- 行星齿轮传动柔性齿圈齿根动应力计算及光纤光栅检测方法
- Dynamic Stress Calculation and Experimental Comparative Analysis for Flexible Ring Gear Root of Planetary Gear Transmission System
- 西安交通大学学报 2020年54卷第6期页码：122-132
- 作者机构：
  
  新疆大学机械工程学院,乌鲁木齐,830047
- 作者简介：
- 基金信息：
  
  : 2019-11-22。作者简介: 王成龙(1992—),男,硕士生;周建星(通信作者),男,教授。基金项目: 国家自然科学基金资助项目(51665054)
- DOI：10.7652/xjtuxb202006016
  中图分类号： TH132
- 网络首发：2020-06-10，
  
  纸质出版：2020
- 稿件说明：
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王成龙, 周建星, 孙文磊, 等. 行星齿轮传动柔性齿圈齿根动应力计算及光纤光栅检测方法[J]. 西安交通大学学报, 2020,54(6):122-132.

Dynamic Stress Calculation and Experimental Comparative Analysis for Flexible Ring Gear Root of Planetary Gear Transmission System
[J]. 2020, 54(6): 122-132. DOI: 10.7652/xjtuxb202006016.
王成龙, 周建星, 孙文磊, 等. 行星齿轮传动柔性齿圈齿根动应力计算及光纤光栅检测方法[J]. 西安交通大学学报, 2020,54(6):122-132. DOI： 10.7652/xjtuxb202006016.

Dynamic Stress Calculation and Experimental Comparative Analysis for Flexible Ring Gear Root of Planetary Gear Transmission System
[J]. 2020, 54(6): 122-132. DOI: 10.7652/xjtuxb202006016. DOI：

摘要

为有效提取行星齿轮传动系统柔性齿圈齿根动应力

综合考虑系统动力学特性

提出了一种内齿圈动应力的计算方法。在计算中

计入行星齿轮传动系统各部件的耦合关系

建立了行星齿轮传动系统平移-扭转耦合动力学模型

提取系统动载荷时域历程。采用有限元方法建立齿圈结构动力学分析模型

将内齿圈各轮齿啮合区划分出n条接触线

并用轮齿承载接触分析(LTCA)方法确定齿间载荷分配关系。运用模态叠加法对内齿圈动力学方程解耦

采用Newmark-β法逐次积分

计算了不同载荷下内齿圈齿根动应力。与Kahraman等仿真算法以及实验结果对比

结果表明:齿根应变在一个啮合周期中

经历了单齿受压、双齿拉压以及单齿受拉3个波动过程

与光纤光栅检测结果一致

并且在不同负载下

测量误差均小于10%; 行星轮与内齿圈啮合至支撑位附近时

在支撑位置两侧形成反向对称变形趋势

应力呈现出对称分布

行星轮啮合位置远离内齿圈支撑位时

啮合位置应力明显增大

齿槽结构对齿圈齿根应力影响显著。

Abstract

To effectively extract the dynamic stress of the flexible ring gear root of the planetary gear transmission system and comprehensively consider the dynamic characteristics of the system

a calculation for dynamic stress of the ring gear is carried out. In this calculation

taking the coupling relationship of the components of the planetary gear transmission system into account

the translation and torsion coupling dynamic model of the planetary gear transmission system is established

and the dynamic load time history of the system is extracted. The dynamic analysis model of ring gear structure is constructed with finite element method. The meshing area of each tooth in the ring gear is divided into n contact lines

and the dynamic equations of ring gear are decoupled by mode superposition

the dynamic stress of the ring gear root under different loads is calculated with Newmark-- method. The effectiveness of the calculation method is verified by comparing with Kahraman and the other

关键词

Keywords

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