A Normative Modeling Method for Complex Gear Coupled Rotor-bearing System Dynamics

Xia Boqian; Jiang Xi; Zhang Zebin

doi:10.16578/j.issn.1004.2539.2023.02.003

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A Normative Modeling Method for Complex Gear Coupled Rotor-bearing System Dynamics

Theory·Research | 更新时间：2023-02-25

- A Normative Modeling Method for Complex Gear Coupled Rotor-bearing System Dynamics
- Journal of Mechanical Transmission Vol. 47, Issue 2, Pages: 15-24(2023)
- 作者机构：
  
  郑州大学机械与动力工程学院，河南郑州 450001
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2023.02.003
  CLC：
- Published：15 February 2023，
  
  Received：17 January 2022，
  
  Revised：23 March 2022，
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夏伯乾,蒋熹,张泽斌.复杂齿轮耦合转子-轴承系统动力学的规范建模方法[J].机械传动,2023,47(02):15-24.

Xia Boqian,Jiang Xi,Zhang Zebin.A Normative Modeling Method for Complex Gear Coupled Rotor-bearing System Dynamics[J].Journal of Mechanical Transmission,2023,47(02):15-24.
夏伯乾,蒋熹,张泽斌.复杂齿轮耦合转子-轴承系统动力学的规范建模方法[J].机械传动,2023,47(02):15-24. DOI： 10.16578/j.issn.1004.2539.2023.02.003.

Xia Boqian,Jiang Xi,Zhang Zebin.A Normative Modeling Method for Complex Gear Coupled Rotor-bearing System Dynamics[J].Journal of Mechanical Transmission,2023,47(02):15-24. DOI： 10.16578/j.issn.1004.2539.2023.02.003.

摘要

由于齿轮的耦合作用，齿轮-转子-轴承系统中各个转子的振动是相互耦合、相互影响的，研究齿轮-转子-轴承系统动力学，必须基于系统的、整体的观念进行分析。因此，齿轮-转子-轴承耦合系统动力学建模和模型降阶一直是人们普遍关注的问题。基于齿廓啮合基本定理，给出了直齿轮、斜齿轮、直齿锥齿轮、弧齿锥齿轮共4种齿轮的几何耦合模型（或称运动耦合模型）；利用耦合模型矩阵，给出了含以上4种齿轮副的复杂齿轮转子-轴承系统纵-弯-扭耦合动力学研究的统一、方便、规范的建模方法。为复杂齿轮-转子-轴承耦合系统动力学分析研究提供了方便。

Abstract

Due to the coupling effect of gears

the vibration of each rotor in the gear rotor bearing system is coupled and affected by each other. The study of the dynamics of the gear rotor bearing system must be analyzed based on a systematic and holistic concept. Therefore

the dynamic modeling and model reduction of the gear rotor bearing coupling system have always been a common concern. Based on the basic principle of gear meshing

this study establishes the geometric coupling model (or called kinematic coupling model) of the spur gear pair

helical gear pair

spur bevel gear pair and spiral bevel gear pair; and by using the transformation matrix of the coupling model

a unified

convenient and normative modeling method for the dynamic study of arbitrary complex gear-rotor-bearing coupled system including the above four kinds of gear pairs is given

which provides convenience for the dynamic study of complex gear shafting.

关键词

复杂齿轮耦合转子-轴承系统动力学建模规范建模方法几何耦合模型耦合模型变换矩阵

Keywords

Complex gear coupled rotor-bearing systemDynamics modelingNormative modeling methodGeometry coupling modelTransformation matrix of the coupling model

references

温诗铸，黎明.机械学发展战略研究［M］.北京：清华大学出版社，2003：100-107.

WEN Shizhu，LI Ming.Research on the development strategy of mechanics［M］.Beijing：Tsinghua University Press，2003：100-107.

夏伯乾.齿轮轴系弯扭耦合振动理论的统一［J］.机械科学与技术，2006，25（10）：1202-1205，1245.

XIA Boqian.Theoretical unification of lateral-torsional coupling vibration of a geared rotor system［J］.Mechanical Science and Technology for Aerospace Engineering，2006，25（10）：1202-1205，1245.

夏伯乾，虞烈，谢友柏.齿轮-转子-轴承系统弯扭耦合振动模型研究［J］.西安交通大学学报，1997（12）：94-101.

XIA Boqian，YU Lie，XIE Youbai.Study on lateral-torsional coupling vibration model of gear-rotor-bearing system［J］.Journal of Xi´an Jiaotong University，1997（12）：94-101.

LI M，HU H Y，JIANG P L，et al.Coupled axial-lateral-torsional dynamics of a rotor-bearing system geared by spur bevel gears［J］.Journal of Sound and Vibration，2002，254（3）：427-446.

LI M，HU H Y.Dynamic analysis of a spiral bevel-geared rotor-bearing system［J］.Journal of Sound and Vibration，2003，259（3）：605-624.

范叶森，王三民，杨振，等.斜交弧齿锥齿轮耦合多转子系统振动分析方法［J］.哈尔滨工业大学学报，2011，43（3）：111-116.

FAN Yesen，WANG Sanmin，YANG Zhen，et al.Vibration analysis method for multi-rotor system geared by angular spiral bevel gears［J］.Journal of Harbin Institute of Technology，2011，43（3）：111-116.

王立华，李润方，林腾蛟，等.弧齿锥齿轮传动系统的耦合振动分析［J］.中国机械工程，2006，17（14）：1431-1434.

WANG Lihua，LI Runfang，LIN Tengjiao，et al.Analysis for coupling vibration of a spiral bevel gear system［J］.China Mechanical Engineering，2006，17（14）：1431-1434.

庞辉，方宗德，欧卫林.多平行齿轮耦合转子系统的振动特性分析［J］.振动与冲击，2007，26（6）：21-25.

PANG Hui，FANG Zongde，OU Weilin.Analysis on lateral-torsional coupling vibration characteristics of multi-parallel gear-rotor system［J］.Journal of Vibration and Shock，2007，26（6）：21-25.

朱丽莎，张义民，马辉，等.多齿轮耦合复杂转子系统的振动特性分析［J］.振动与冲击，2013，32（14）：34-39.

ZHU Lisha，ZHANG Yimin，MA Hui，et al.Vibration behavior analysis of a complex rotor system with coupled multi-gear meshing［J］.Journal of Vibration and Shock，2013，32（14）：34-39.

夏伯乾，虞烈，谢友柏.DH型压缩机齿轮-轴承-转子系统动力学分析［J］.振动工程学报，2003，16（2）：251-255.

XIA Boqian，YU Lie，XIE Youbai.Dynamics analysis of geared rotor-bearing system of DH type turbine compressor［J］.Journal of Vibration Engineering，2003，16（2）：251-255.

马辉，朱丽莎，王奇斌，等.斜齿轮-平行轴转子系统模态耦合特性分析［J］.中国电机工程学报，2012，32（29）：131-136.

MA Hui，ZHU Lisha，WANG Qibin，et al.Modal coupling characteristic analysis of a helical gear rotor system with parallel shafts［J］.Proceedings of the CSEE，2012，32（29）：131-136.

欧卫林.某航空发动机传动系统的动力学研究及其振动控制［D］.西安：西北工业大学，2005：16-17.

OU Weilin.Study on dynamics and vibration control of an aero-engine transmission system［D］.Xi´an：Northwestern Polytechnical University，2005：16-17.

濮良贵，陈国定，吴立言.机械设计［M］.9版.北京：高等教育出版社，2013：225-226.

PU Lianggui，CHEN Guoding，WU Liyan.Mechanical design［M］.9th ed.Beijing：Higher Education Press，2013：225-226.

钟一谔，何衍宗，王正，等.转子动力学［M］.北京：清华大学出版社，1987：69-80.

ZHONG Yie，HE Yanzong，WANG Zheng，et al.Rotor dynamics［M］.Beijing：Tsinghua University Press，1987：69-80.

唐艾飞.船舶推进轴系振动分析研究［D］.武汉：武汉理工大学，2014：19-20.

TANG Aifei.Vibration calculation of ship propulsion shafting［D］.Wuhan：Wuhan University of Technology，2014：19-20.

SCHWIBINGER P，NORDMANN R.The influence of torsional-lateral coupling on the stability behavior of geared rotor systems［J］.Journal of Engineering for Gas Turbines and Power，1988，110（4）：563-571.

夏伯乾.齿轮耦合多平行转子-轴承系统动力学及其应用研究［D］.西安：西安交通大学，1998：28-29.

XIA Boqian.Study on dynamics of gear-rotor-bearing system and its application［D］.Xi´an：Xi´an Jiaotong University，1998：28-29.

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