基于本征正交分解的叶片碰摩系统降阶方法

魏代同; 陈星; 陈玉刚; 李宏坤

doi:10.13224/j.cnki.jasp.20210180

基于本征正交分解的叶片碰摩系统降阶方法

doi: 10.13224/j.cnki.jasp.20210180

大连理工大学机械工程学院，辽宁大连 116024

基金项目: 国家重点基础研究发展计划（2020YFB2010800）；国家自然科学基金（92060105，U1808214）

详细信息

作者简介:
魏代同（1992-），男，博士生，主要从事叶轮机械结构动力学、状态监测及故障诊断研究。

通讯作者:
陈星（1964-），男，副教授、硕士生导师，硕士，主要从事重大设备状态监测及故障诊断研究。E-mail：chenxing@dlut.edu.cn

中图分类号: V231.96
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- 文章访问数: 128
- HTML浏览量: 5
- PDF量: 140
- 被引次数: 0
出版历程
- 收稿日期: 2021-04-20
- 刊出日期: 2022-04-28

Reduced order method of blade rubbing system based on proper orthogonal decomposition

School of Mechanical Engineering，Dalian University of Technology，Dalian Liaoning 116024，China

摘要

摘要: 针对叶片碰摩响应求解问题，提出了采用本征正交分解进行动力学降阶的方法。通过对快照矩阵进行本征正交分解生成投影子空间，将系统动力学方程投影到子空间进行模型降阶，并结合数值积分方法进行了碰摩响应求解。基于降阶模型分析了不同转速及侵入量参数下的叶片碰摩响应，并与全阶模型进行了对比。结果表明：降阶模型的时域响应幅值偏差小于5%，计算效率了提升98.4%；通过改变叶片转速、侵入量参数验证了降阶模型的鲁棒性，并且发现随着转速、侵入量的增加，本征正交模态能量在低阶与高阶之间发生转移，并呈现出不同的传递规律，由转速引起的模态能量转移与结构的固有频率存在一定关系。该方法及结论可为叶片碰摩分析及故障诊断提供依据。
- 降阶模型 /
- 叶片碰摩 /
- 本征正交分解 /
- 碰摩响应 /
- 模态能量
Abstract: In view of the problem of blade rubbing response，a proper orthogonal decomposition method was proposed to reduce the dynamic order of the system.The projection space was generated by the proper orthogonal decomposition of the snapshot matrix，the system dynamic equation was projected into the subspace for model reduction，and the rubbing response was solved in combination with the numerical integration method.Based on the reduced order model，the blade rub impact response under different speed and penetration parameters was analyzed and compared with the full order model.The results showed that the time-domain response deviation of the reduced order model was less than 5%，and the computational efficiency of the reduced order model was improved by 98.4%.The robustness of the reduced order model was verified by changing the blade speed and penetration.With the increase of rotational speed and penetration，it was found that the energy of the proper orthogonal modes transferred between the lower order and the higher order，and presented different transfer laws.There was a certain relationship between the modal energy transfer caused by the rotational speed and the natural frequency of the structure.The method and conclusion can provide a basis for blade rub impact analysis and fault diagnosis.
- reduced order model /
- blade rubbing /
- proper orthogonal decomposition /
- rubbing response /
- modal energy

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参考文献(33)

[1]	韩金昌,左彦飞,冯坤.周期性碰摩激励作用下薄壁机匣支撑系统响应机理[J].航空动力学报,2021,36（1）:167-175.
[2]	高志坤,胡霖,张开阔,等.某高压压气机第4级转子叶片断裂分析[J].航空发动机,2019,45（6）:85-89.
[3]	马辉,太兴宇,李焕军,等.旋转叶片-机匣碰摩模型及试验研究综述[J].航空动力学报,2013,28（9）:2055-2069.
[4]	PRABITH K,KRISHNA I R P.The numerical modeling of rotor-stator rubbing in rotating machinery:a comprehensive review[J].Nonlinear Dynamics,2020,101（2）:1317-1363.
[5]	WANG H F,CHEN G.Simulation analysis of casing vibration response and its verification under blade-casing rubbing fault[J].Journal of Vibration and Acoustics,2016,138（3）:1-14.
[6]	赵洋,华一雄,张执南,等.基于Hertz接触理论的叶片-机匣碰摩模型[J].上海交通大学学报,2019,53（6）:660-664.
[7]	陈果,王海飞,刘永泉,等.新型叶片-机匣碰摩模型及其验证[J].航空动力学报,2015,30（4）:952-965.
[8]	郭旭民,孙祺,马辉,等.旋转叶片-柔性机匣碰摩振动响应分析[J].振动与冲击,2019,38（5）:162-167.
[9]	马辉,王迪,太兴宇,等.碰摩作用下盘片榫连结构接触特性的响应分析[J].航空动力学报,2015,30（9）:2203-2210.
[10]	马辉,孙祺,太兴宇,等.旋转叶片-机匣碰摩振动响应分析[J].振动与冲击,2017,36（14）:26-32.
[11]	马辉,吴志渊,太兴宇,等.含碰摩故障的转子-盘片-机匣系统动力学特性分析[J].航空动力学报,2015,30（8）:1950-1957.
[12]	太兴宇,马辉,谭祯,等.叶片-机匣系统碰摩振动响应分析[J].振动、测试与诊断,2014,34（2）:280-397.
[13]	SUN Q,MA H,ZHU Y P,et al.Comparison of rubbing induced vibration responses using varying-thickness-twisted shell and solid-element blade models[J].Mechanical Systems and Signal Processing,2018,108（3）:1-20.
[14]	MA H,WANG D,TAI X Y,et al.Vibration response analysis of blade-disk dovetail structure under blade tip rubbing condition[J].Journal of Vibration and Control,2016,23（2）:252-271.
[15]	MA H,YIN F L,TAI X Y,et al.Vibration response analysis caused by rubbing between rotating blade and casing[J].Journal of Mechanical Science and Technology,2016,30（5）:1983-1995.
[16]	张俊红,王杰,鲁鑫,等.考虑封严涂层的航空发动机叶片碰摩过程[J].浙江大学学报（工学版）,2018,52（5）:980-987.
[17]	AGRAPART Q,NYSSEN F,LAVAZEC D,et al.Multi-physics numerical simulation of an experimentally predicted rubbing event in aircraft engines[J].Journal of Sound and Vibration,2019,460（2）:114869.1-114869.93.
[18]	DING K Y,WANG Z,LU X,et al.Vibration investigation of rotor system with unbalance and blade-casing rubbing coupling faults[J].Journal of Vibroengineering,2020,22（2）:353-365.
[19]	KAMMER A S,OLGAC N.Blade/casing rub interaction in turbomachinery:structural parameters' influence on stability[J].Journal of Propulsion and Power,2016,32（4）:929-938.
[20]	XIAO J G Y,CHEN Y,TIAN J,et al.Numerical investigation of rub-induced composite fan blade vibrations and abradable coating removals[J].Composite Structures,2019,226（5）:111274.1-111274.15.
[21]	YANG Y,CHEN G,OUYANG H J,et al.Nonlinear vibration mitigation of a rotor-casing system subjected to imbalance-looseness-rub coupled fault[J].International Journal of Non-Linear Mechanics,2020,122（4）:1-16.
[22]	YANG Y,OUYANG H J,WU X L,et al.Bending-torsional coupled vibration of a rotor-bearing-system due to blade-casing rub in presence of non-uniform initial gap[J].Mechanism and Machine Theory,2019,140（3）:170-193.
[23]	YU M Y,FENG Z G,HUANG J J,et al.A new characteristic analysis method for aero-engine rotor-stator rubbing[J].Journal of Aerospace Engineering,2017,232（6）:1120-1133.
[24]	ZENG J,MA H,YU K,et al.Rubbing response comparisons between single blade and flexible ring using different rubbing force models[J].International Journal of Mechanical Sciences,2019,164（6）:105164.1-105164.33.
[25]	ZHANG J H,LU X,LIN J W,et al.Dynamic characteristics analysis of blade-casing rubbing faults with abradable coatings[J].Journal of Mechanical Engineering Science,2020,235（6）:203-210.
[26]	邓子辰,范小弄,赵玉立.基于Karhunnen-Loève展开的柔性梁撞击系统的降阶方法[J].动力学与控制学报,2005,3（1）:24-27.
[27]	RITTO T G,BUEZAS F S,SAMPAIO R.A new measure of efficiency for model reduction:Application to a vibroimpact system[J].Journal of Sound and Vibration,2011,330（9）:1977-1984.
[28]	于海，陈予恕，曹庆杰.多自由度裂纹转子系统非线性动力学特性分析[J].振动与冲击,2014,3（7）:92-98.
[29]	于海，陈予恕，曹庆杰.多自由度碰摩转子系统非线性动力学特性分析[J].哈尔滨商业大学（自然科学版）,2014,30（1）:75-79.
[30]	LU K,CHEN Y S.Dynamic behaviors analysis of reduced rotor models with looseness based on the tpod method[J].Journal of Harbin Institute of Technology,2018,25（4）:15-30.
[31]	LU K,WU N,ZHANG K Y,et al.Dynamical behaviors analysis of the rotor model with coupling faults and applications of the TPOD method[J].Applied Sciences,2020,10（21）:7415.1-7415.25.
[32]	AZEEZ M F A,VAKAKIS A F.Proper orthogonal decomposition （pod） of a class of vibroimpact oscillations[J].Journal of Sound and Vibration,2001,240（5）:859-889.
[33]	王新敏.ANSYS结构动力分析与应用[M].北京:人民交通出版社,2014.