基于多节点热网络法的航空发动机主轴轴承温度场分析
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摘要
航空发动机主轴轴承温度场分析是发动机润滑系统热分析的关键。针对传统简单节点热网络法中轴承温度节点设置过于简化、人为设置轴承生热分配比例等问题,提出改进的多节点热网络法。基于Hertz热扩散理论,将轴承三元件分别划分为接触表面与主体两个节点,并以Hertz扩散热阻连接;轴承接触区设置油膜节点,加载轴承生热载荷,节点与轴承接触面之间通过油膜热阻连接;构建多节点轴承热网络模型,获得轴承内部更细致的温度场分布。研究表明,轴承表面温度显著高于其内部主体结构温度,而接触区对应的两个接触面之间也存在明显的温度差异,使用本文建立的多节点热网络法对滑油出口温度的计算误差不超过7%。
A clear thermal statement analysis of main-shaft roller bearings is key element to better understand and optimize the oil system design. For the traditional thermal network,the bearing is simply replaced by three nodes and its heat generation has to be loaded artificially. In this article,an improved multi-nodes thermal network method is proposed. Each bearing element is divided to two nodes,for the surface and the bulk respectively. A Hertz spreading resistance is then accounted between them. All heat generation of the bearing is loaded to the oil film center,which is set as another node in the contact zone. Results show that the bearing element surface is much hotter than its bulk,and there is temperature difference between two corresponding surfaces in the contact zone. Based on the thermal network method,the error of predicted oil outlet temperature could be less than 7%.
A clear thermal statement analysis of main-shaft roller bearings is key element to better understand and optimize the oil system design. For the traditional thermal network,the bearing is simply replaced by three nodes and its heat generation has to be loaded artificially. In this article,an improved multi-nodes thermal network method is proposed. Each bearing element is divided to two nodes,for the surface and the bulk respectively. A Hertz spreading resistance is then accounted between them. All heat generation of the bearing is loaded to the oil film center,which is set as another node in the contact zone. Results show that the bearing element surface is much hotter than its bulk,and there is temperature difference between two corresponding surfaces in the contact zone. Based on the thermal network method,the error of predicted oil outlet temperature could be less than 7%.
引文
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[3] Pouly Fran?ois. Power Loss Predictions in High-Speed Rolling Element Bearings Using Thermal Networks[J].Tribology Transactions,2010,53(6):957-967.
[4] Nicolas JA Moreno,Felix Gomez de Leon Alhama F. Solution of Temperature Fields in Hydrodynamics Bearings by the Numerical Network Method[J]. Tribology International,2007,40(1):139-145.
[5] Kleckner R J,Pirvics J,Castelli V. High Speed Cylindrical Rolling Element Bearing Analysis CYBEAN-Analytical Formulation[J]. Journal of Lubrication Technology,1980,102(3):380-390.
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[9]程庆元,陆凤霞,鲍和云.基于热网络法与有限元法的球轴承稳态热分析[J].机械制造与自动化,2013,42(6):97-100.
[10]王新新.高速电主轴的热—结构分析及温度预测研究[D].成都:西华大学,2012.
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[12] Tedric A Harris,Michael N Kotzalas. Advanced Concepts of Bearing Technology:Rolling Bearing Analysis[M]. US:Taylor&Francis Group,2006.
[13] Muzychka Y S. Thermal Resistance Models for Non-Circular Moving Heat Sources on a Half Space[J]. Transactions of the ASME,2001,123(4):624-632.
[14]赵静宇,刘振侠,胡剑平,等.轴承腔内壁油膜运动特性的数值研究[J].推进技术,2014,35(1):25-32.(ZHAO Jing-yu,LIU Zhen-xia,HU Jian-ping,et al.Numerical Study on Motion Characteristics of Lubricating Oil Film of Bearing Chamber Wall[J]. Journal of Propulsion Technology,2014,35(1):25-32.)
[15]高文君,刘振侠,吕亚国.轴承腔热分析通用软件的开发与应用[J].航空计算技术,2013,43(1):106-109.
[16] GAO W,Liu Z,LV Y. Investigation on the Thermal Behaviour of Aeroengine Bearing Chamber Using Thermal Networks[C]. Xi’an:The 4th International Symposium on Jet Propulsion and Power Engineering,2012.
[17]吕亚国,张美华,刘振侠,等.航空发动机轴承腔油气两相流流动数值研究及验证[J].航空动力学报,2014,29(11):2751-2757.
[2] Pouly Fran?ois. Investigations on the Power Losses and Thermal Behavior of Rolling Element Bearings[J]. Journal of Engineering Tribology,2010,224(9):925-933.
[3] Pouly Fran?ois. Power Loss Predictions in High-Speed Rolling Element Bearings Using Thermal Networks[J].Tribology Transactions,2010,53(6):957-967.
[4] Nicolas JA Moreno,Felix Gomez de Leon Alhama F. Solution of Temperature Fields in Hydrodynamics Bearings by the Numerical Network Method[J]. Tribology International,2007,40(1):139-145.
[5] Kleckner R J,Pirvics J,Castelli V. High Speed Cylindrical Rolling Element Bearing Analysis CYBEAN-Analytical Formulation[J]. Journal of Lubrication Technology,1980,102(3):380-390.
[6] Hannon William M. Rolling-Element Bearing Heat Transfer,Part I:Analytic Model[J]. Journal of Tribology,2015,137(3).
[7]李健,刘志全.航空发动机轴承腔热状态分析模型及温度场计算[J].航空动力学报,1999,14(3):242-246.
[8]汪友勇.航空发动机热区轴承腔热分析研究[D].南京:南京航空航天大学,2012.
[9]程庆元,陆凤霞,鲍和云.基于热网络法与有限元法的球轴承稳态热分析[J].机械制造与自动化,2013,42(6):97-100.
[10]王新新.高速电主轴的热—结构分析及温度预测研究[D].成都:西华大学,2012.
[11]斯库巴切夫斯基.航空燃气涡轮发动机零件结构与计算[M].北京:国防工业出版社,1992.
[12] Tedric A Harris,Michael N Kotzalas. Advanced Concepts of Bearing Technology:Rolling Bearing Analysis[M]. US:Taylor&Francis Group,2006.
[13] Muzychka Y S. Thermal Resistance Models for Non-Circular Moving Heat Sources on a Half Space[J]. Transactions of the ASME,2001,123(4):624-632.
[14]赵静宇,刘振侠,胡剑平,等.轴承腔内壁油膜运动特性的数值研究[J].推进技术,2014,35(1):25-32.(ZHAO Jing-yu,LIU Zhen-xia,HU Jian-ping,et al.Numerical Study on Motion Characteristics of Lubricating Oil Film of Bearing Chamber Wall[J]. Journal of Propulsion Technology,2014,35(1):25-32.)
[15]高文君,刘振侠,吕亚国.轴承腔热分析通用软件的开发与应用[J].航空计算技术,2013,43(1):106-109.
[16] GAO W,Liu Z,LV Y. Investigation on the Thermal Behaviour of Aeroengine Bearing Chamber Using Thermal Networks[C]. Xi’an:The 4th International Symposium on Jet Propulsion and Power Engineering,2012.
[17]吕亚国,张美华,刘振侠,等.航空发动机轴承腔油气两相流流动数值研究及验证[J].航空动力学报,2014,29(11):2751-2757.