有限元/接触法计算含滚动元件轴承的行星齿轮的准静态相应、齿根应力和行星轮负载均衡
发布时间：2021-02-20 23:48
该研究运用最前沿的有限元/接触方法研究了含滚动元件轴承的行星齿轮的准静态相应、负载均衡和齿根应力。有限元/接触方法在过去的研究中被广泛运用于精确计算齿轮间的弹性接触。大部分已知的关于行星齿轮的研究使用集中刚度矩阵代替含滚动元件轴承。该研究首先依据真实轴承产品建立了二维独立轴承模型,并通过准静态分析探究独立轴承模型的刚度和形变特性。该模型探明了轴承内滚动元件的运动学轨迹导致的轴承刚度和偏移的周期性变化,和载荷与径向间隙变化导致的非线性刚度变化。随后,该研究建立了基于真实直升机应用的二维行星齿轮模型,并在分别应用刚度矩阵轴承模型和接触轴承模型的情况下进行准静态分析。当使用刚度矩阵轴承时,因轴承刚度的非线性特性,模型对行星齿轮中央部件的部分自由度均值的计算存在显著误差。当使用接触轴承时,模型还捕捉到了由周期性变化的轴承偏移导致的行星架旋转自由度内的低频成分,和由周期性变化的轴承刚度导致的行星轮负载的调制现象。针对载荷和间隙的参数分析表明该低频组分和调制在多种工况下均有显著效应。行星齿轮轴位置误差会造成不均衡的行星轮负载,但该现象对轴承的建模方式并不敏感。最后,该研究建立了基于同一系统的三维行...
【文章来源】：上海交通大学上海市 211工程院校 985工程院校 教育部直属院校
【文章页数】：110 页
【学位级别】：硕士
【文章目录】：
摘要
Abstract
Chapter 1 Introduction
1.1 Objectives
1.2 Background
1.3 Literature review
1.4 The finite element/contact mechanics method
1.5 Modeling and researching strategy
1.5.1 Modeling the bearing
1.5.2 Modeling the planetary gear
1.6 Contribution of this research
1.7 Scope and organization of this research
Chapter 2 Properties of rolling element planet bearings
2.1 Description of the bearing model
2.2 Bearing stiffness calculation
2.3 Parametric studies
2.3.1 Parametric study on bearing clearance
2.3.2 Parametric study on bearing load
2.3.3 Discussions on bearing parametric studies
Chapter 3 Quasi-static analysis of two-dimensional planetary gear model with stiffness matrix bearings
3.1 Description of the two-dimensional planetary gear model
3.2 Quasi-static analysis
3.2.1 Central member response
3.2.2 Mesh stiffness calculation
3.2.3 Planet load sharing
3.3 Dynamic analysis
Chapter 4 Quasi-static analysis of two-dimensional planetary gear model with full contact bearings
4.1 Comparison of planetary gear models with stiffness matrix bearings and full contact bearings
4.1.1 Carrier rotational deflection
4.1.2 Planet load sharing
4.2 Parametric studies
4.2.1 Parametric study on bearing clearance
4.2.1.1 Carrier rotational deflection
4.2.1.2 Planet load sharing
4.2.2 Parametric study on planetary gear input torque
4.2.2.1 Carrier rotational deflection
4.2.2.2 Planet load sharing
4.2.3 Discussion on planetary gear parametric studies
4.3 Effect of planet rim compliance
4.4 Error case study
Chapter 5 Static analysis of three-dimensional planetary gear model with full contact bearings
5.1 Description of the model
5.2 Static analysis on model with cylindrical bearings
5.2.1 Bearing race deformation
5.2.2 Tooth root stress
5.2.3 Tooth contact pressure
5.2.4 Static transmission error
5.2.5 Load sharing factor
5.3 Static analysis on model with spherical bearings
5.3.1 Bearing race deformation
5.3.2 Tooth root stress
5.3.3 Tooth contact pressure, static transmission error, and load sharing factor
5.4 Discussions
Chapter 6 Static analysis of three-dimensional planetary gear model with stiffness matrix bearings
6.1 Description of the model
6.2 Static analysis with varying bearing stiffness
6.2.1 Bearing race deformation
6.2.2 Tooth root stress
6.2.3 Tooth contact pressure, static transmission error, and load sharing factor
6.3 Static analysis with tuned bearing race thickness and compliance
6.3.1 Bearing race deformation and tooth root stress with tuning bearing race thickness
6.3.2 Bearing race deformation and tooth root stress with tuning bearing race compliance
6.3.3 Tooth contact pressure, static transmission error, and load sharing factor undertuned bearing race thickness and compliance
6.4 Discussions
Chapter 7 Static analysis on two-dimensional planetary gear model as simplified three-dimensionalmodel
7.1 Description of the planetary gear model
7.2 Static analysis of model with full contact bearings
7.2.1 Bearing race deformation
7.2.2 Tooth root stress
7.2.3 Tooth contact pressure, static transmission error, and load sharing factor in two-dimensional model with full contact bearings
7.3 Static analysis of model with stiffness matrix bearings
7.4 Discussions
Chapter 8 Conclusions and future work
8.1 Conclusions
8.2 Limitations in this research and future work
Acknowledgements
Appendix A
Appendix B
Appendix C
Appendix D
Bibliography
本文编号：3043534
【文章来源】：上海交通大学上海市 211工程院校 985工程院校 教育部直属院校
【文章页数】：110 页
【学位级别】：硕士
【文章目录】：
摘要
Abstract
Chapter 1 Introduction
1.1 Objectives
1.2 Background
1.3 Literature review
1.4 The finite element/contact mechanics method
1.5 Modeling and researching strategy
1.5.1 Modeling the bearing
1.5.2 Modeling the planetary gear
1.6 Contribution of this research
1.7 Scope and organization of this research
Chapter 2 Properties of rolling element planet bearings
2.1 Description of the bearing model
2.2 Bearing stiffness calculation
2.3 Parametric studies
2.3.1 Parametric study on bearing clearance
2.3.2 Parametric study on bearing load
2.3.3 Discussions on bearing parametric studies
Chapter 3 Quasi-static analysis of two-dimensional planetary gear model with stiffness matrix bearings
3.1 Description of the two-dimensional planetary gear model
3.2 Quasi-static analysis
3.2.1 Central member response
3.2.2 Mesh stiffness calculation
3.2.3 Planet load sharing
3.3 Dynamic analysis
Chapter 4 Quasi-static analysis of two-dimensional planetary gear model with full contact bearings
4.1 Comparison of planetary gear models with stiffness matrix bearings and full contact bearings
4.1.1 Carrier rotational deflection
4.1.2 Planet load sharing
4.2 Parametric studies
4.2.1 Parametric study on bearing clearance
4.2.1.1 Carrier rotational deflection
4.2.1.2 Planet load sharing
4.2.2 Parametric study on planetary gear input torque
4.2.2.1 Carrier rotational deflection
4.2.2.2 Planet load sharing
4.2.3 Discussion on planetary gear parametric studies
4.3 Effect of planet rim compliance
4.4 Error case study
Chapter 5 Static analysis of three-dimensional planetary gear model with full contact bearings
5.1 Description of the model
5.2 Static analysis on model with cylindrical bearings
5.2.1 Bearing race deformation
5.2.2 Tooth root stress
5.2.3 Tooth contact pressure
5.2.4 Static transmission error
5.2.5 Load sharing factor
5.3 Static analysis on model with spherical bearings
5.3.1 Bearing race deformation
5.3.2 Tooth root stress
5.3.3 Tooth contact pressure, static transmission error, and load sharing factor
5.4 Discussions
Chapter 6 Static analysis of three-dimensional planetary gear model with stiffness matrix bearings
6.1 Description of the model
6.2 Static analysis with varying bearing stiffness
6.2.1 Bearing race deformation
6.2.2 Tooth root stress
6.2.3 Tooth contact pressure, static transmission error, and load sharing factor
6.3 Static analysis with tuned bearing race thickness and compliance
6.3.1 Bearing race deformation and tooth root stress with tuning bearing race thickness
6.3.2 Bearing race deformation and tooth root stress with tuning bearing race compliance
6.3.3 Tooth contact pressure, static transmission error, and load sharing factor undertuned bearing race thickness and compliance
6.4 Discussions
Chapter 7 Static analysis on two-dimensional planetary gear model as simplified three-dimensionalmodel
7.1 Description of the planetary gear model
7.2 Static analysis of model with full contact bearings
7.2.1 Bearing race deformation
7.2.2 Tooth root stress
7.2.3 Tooth contact pressure, static transmission error, and load sharing factor in two-dimensional model with full contact bearings
7.3 Static analysis of model with stiffness matrix bearings
7.4 Discussions
Chapter 8 Conclusions and future work
8.1 Conclusions
8.2 Limitations in this research and future work
Acknowledgements
Appendix A
Appendix B
Appendix C
Appendix D
Bibliography
本文编号：3043534
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