固定瓦-可倾瓦动压气体轴承-转子系统的非线性运动分析

doi:10.3901/JME.2018.11.187

机械工程学报 ›› 2018, Vol. 54 ›› Issue (11): 187-196.doi: 10.3901/JME.2018.11.187

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固定瓦-可倾瓦动压气体轴承-转子系统的非线性运动分析

张永芳^1,2, 肖良君^1,2, 李贤伟^1,2, 赵晶群^1,2, 李莎³

1. 西安理工大学印刷包装与数字媒体学院西安 710048;
2. 华中科技大学数字制造装备与技术国家重点实验室武汉 430074;
3. 西安理工大学机械制造装备陕西省重点实验室西安 710048

收稿日期:2017-06-21 修回日期:2017-12-25 出版日期:2018-06-05 发布日期:2018-06-05
通讯作者: 张永芳(通信作者),女,1975年出生,博士,副教授,硕士研究生导师。主要研究方向为非线性动力学及控制,润滑理论及新型轴承技术。E-mail:zhangyf@xaut.edu.cn
基金资助:
国家自然科学基金（51505375）、数字制造装备与技术国家重点实验室开放课题（DMETKF2017014）、陕西省自然科学基金（2014JM2-5082）和陕西省教育厅科学研究计划（15JS068）资助项目。

Analysis of Nonlinear Motion of A Rotor System Supported by Fixed-tilting Pad Self-acting Aerodynamic Bearings

ZHANG Yongfang^1,2, XIAO Liangjun^1,2, LI Xianwei^1,2, ZHAO Jingqun^1,2, LI Sha³

1. School of Printing, Packaging Engineering and Digital media, Xi'an University of Technology, Xi'an 710048;
2. State Key Laboratory of Digital Manufacturing equipment and Technology, Huazhong University of Science and Technology, Wuhan 430074;
3. Key Laboratory of Manufacturing Equipment of Shaanxi Province, Xi'an University of Technology, Xi'an 710048

Received:2017-06-21 Revised:2017-12-25 Online:2018-06-05 Published:2018-06-05

摘要/Abstract

摘要： 针对固定瓦-可倾瓦组合动压气体轴承-柔性转子系统，研究系统的非线性动力学行为。运用微分变换法求解了可压缩气体润滑的Reynolds方程，得到了单块瓦的非线性气膜力，通过组装技术获得了固定瓦-可倾瓦动压气体轴承非线性气膜压力的分布。基于Newmark积分法，运用轴颈中心的运动轨迹图、时间历程图和Poincaré映射图，研究了组合动压气体轴承支承的柔性转子系统的非线性不平衡动力响应。在此基础上，进一步分析了瓦块不同支点比和预负荷系数对转子系统稳定性的影响，结果表明，选取合适的支点比和较大的预负荷系数时，有助于提高转子系统的运动稳定性。

关键词: 非线性, 固定瓦-可倾瓦组合轴承, 气体润滑, 预负荷系数, 支点比

Abstract: The nonlinear dynamic behaviors of a flexible rotor system with fixed-tilting pad combined aerodynamic bearings support are investigated. The compressible gas lubricated Reynolds equation is solved by the differential transformation method, and then the nonlinear gas film forces of single pad are calculated. Based on the assembly method, the pressure distribution of nonlinear gas film of the fixed-tilting pad aerodynamic bearing is obtained. Based on the Newmark integral method, the nonlinear unbalanced responses of the flexible rotor system supported by combined aerodynamic bearings are investigated using the orbit diagram, the Poincaré map diagram and the time series diagram. On this basis, the effects of different pivot ratios and preload coefficients of the pads on the stability of the rotor system are analyzed further. The numerical results show that it can be helpful to improve the stability of the rotor system when chooses the proper pivot ratios and higher preload coefficients.

Key words: fixed-tilting pad bearings, gas lubrication, nonlinear, pivot ratio, preload coefficient

中图分类号:

TH133

张永芳, 肖良君, 李贤伟, 赵晶群, 李莎. 固定瓦-可倾瓦动压气体轴承-转子系统的非线性运动分析[J]. 机械工程学报, 2018, 54(11): 187-196.

ZHANG Yongfang, XIAO Liangjun, LI Xianwei, ZHAO Jingqun, LI Sha. Analysis of Nonlinear Motion of A Rotor System Supported by Fixed-tilting Pad Self-acting Aerodynamic Bearings[J]. Journal of Mechanical Engineering, 2018, 54(11): 187-196.

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固定瓦-可倾瓦动压气体轴承-转子系统的非线性运动分析

Analysis of Nonlinear Motion of A Rotor System Supported by Fixed-tilting Pad Self-acting Aerodynamic Bearings

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