基于测试数据的卡箍非线性等效建模方法

吕金华; 臧朝平; 张让威; 张根辈; 王晓伟

doi:10.13224/j.cnki.jasp.2019.09.011

基于测试数据的卡箍非线性等效建模方法

doi: 10.13224/j.cnki.jasp.2019.09.011

1.
南京航空航天大学能源与动力学院,南京 210016
2.
中国航空发动机集团有限公司沈阳发动计研究所,沈阳 110015

基金项目: 国家自然科学基金委员会与中国工程物理研究院联合基金(U1730129); 重大项目培育基金(NP2018450)

计量
- 文章访问数: 1101
- HTML浏览量: 147
- PDF量: 986
- 被引次数: 0
出版历程
- 收稿日期: 2019-01-17
- 刊出日期: 2019-09-28

Nonlinear equivalent modeling method for clamp based on test data

摘要

摘要: 为了快速准确地计算卡箍管路系统的振动响应，提出了基于测试数据的卡箍非线性等效建模方法。对卡箍直管系统进行低幅值激励的模态测试，利用试验数据对有限元模型进行修正，识别卡箍线性刚度、线性阻尼参数。对卡箍直管系统开展不同激励水平下的恒力测试，通过样条插值多项式法将恒力频响函数转换为恒位移、恒速度频响函数，并进一步识别卡箍非线性等效刚度、非线性等效阻尼，建立了考虑卡箍非线性的等效动力学模型。研究表明：该卡箍等效动力学模型的预测频响函数与试验频响函数的最大误差仅为-6.9%，可以有效地反映卡箍实际的刚度、阻尼特性，对解决卡箍管路系统的振动响应分析具有重要的指导意义。
- 卡箍 /
- 非线性 /
- 等效建模 /
- 模态测试 /
- 恒力测试
Abstract: In order to calculate the vibration response of clamp piping system quickly and accurately, a nonlinear equivalent modeling method for clamp was presented based on test data. The finite element model of simple straight pipe system was modified by the test data of modal test to identify the liner stiffness and damping parameters of clamp. The constant force test was carried out for the simple straight pipe system under different excitation levels. The constant force frequency response function was transformed into constant displacement and constant velocity frequency response function by spline interpolation polynomial method, and the nonlinear equivalent stiffness and damping of clamp were further identified. Finally, the equivalent dynamic model of clamp considering nonlinearity was established. The results showed the maximum error between the predicted frequency response functions and the experimental frequency response functions was only -6.9%. It proves that the equivalent dynamic model of clamp can effectively reflect the actual stiffness and damping characteristics of clamp, and has important guiding significance in vibration response analysis of clamp piping system.
- clamp /
- nonlinearity /
- equivalent modeling /
- modal test /
- constant force test

HTML

参考文献(18)

[1]	尹泽勇,陈亚农.卡箍刚度的有限元计算与实验测定［J］.航空动力学报,1999,14(2):179-182.YIN Zeyong,CHEN Yanong.Finite element calculation and experimental measurement of clamp stiffness［J］.Journal of Aerospace Power,1999,14(2):179-182.(in Chinese)
[2]	李枫,刘伟,韦顺超,等.航空液压管道卡箍等效刚度及其影响因素研究［J］.机械科学与技术,2017,36(9):1472-1476.LI Feng,LIU Wei,WEI Shunchao,et al.Research on equivalent stiffness and influence factors of aero-clamps for aircraft hydraulic pipelines［J］.Mechanical Science and Technology for Aerospace Engineering,2017,36(9):1472-1476.(in Chinese)
[3]	李宇明,郑坚,白鸿柏.金属橡胶材料的动态力学模型［J］.材料研究学报,2003,17(5):499-504.LI Yuming,ZHENG Jian,BAI Hongbai.Dynamic mechanics model of metal-rubber materials［J］.Chinese Journal of Materials Research,2003,17(5):499-504.(in Chinese)
[4]	周艳国,屈文忠.金属橡胶非线性动力学特性建模方法研究［J］.噪声与振动控制,2013,33(1):31-36.ZHOU Yanguo,QU Wenzhou.Several practical approaches for nonlinear dynamic modeling of metal rubber［J］.Nosieand Vibration Control,2013,33(1):33-36.(in Chinese)
[5]	赵国伟,李德勇,陈勇.金属橡胶隔振系统动刚度及减振效能分析［J］.振动与冲击,2014,33(22):193-197.ZHAO Guowei,LI Deyong,CHEN Yong.Dynamic stiffness and vibration reduction efficiency of metal rubber［J］.Journal of Vibration and Shock,2014,33(22):33-36.(in Chinese)
[6]	杜林森.航空发动机双管耦合振动的建模与分析［D］.沈阳:东北大学,2012.DU Linsen.Modeling and analysis of coupled vibration of double-pipe system of aero-engine［D］.Shenyang:Northeastern University,2012.(in Chinese)
[7]	郭家良,王维,贾文强,等.航空发动机外部管路调频方法研究［J］.航空发动机,2017,43(6):33-38.GUO Jialiang,WANG Wei,JIA Wenqiang,et al.Investigation of frequency modulation methods of aeroengine external pipe［J］.Aeroengine,2017,43(6):33-38.(in Chinese)
[8]	邵沛泽,叶红玲,陈宁,等.卡箍对输流弯管动力学特性的影响分析［C］∥北京力学会第21届学术年会暨北京振动工程学会第22届学术年会论文集.北京:北京力学会,2015:48-49.
[9]	刘伟,曹刚,翟红波,等.发动机管路卡箍位置动力灵敏度分析与优化设计［J］.航空动力学报,2012,27(12):2756-2762.LIU Wei,CAO Gang,ZHAI Hongbo,et al.Sensitivity analysis and dynamic optimization design of supports' positions for engine pipelines［J］.Journal of Aerospace Power,2012,27(12):2756-2762.(in Chinese)
[10]	HERRMANN J,HAAG T,GAUL L.Experimental and numerical investigation of the dynamics in spatial fluid-filled piping systems［J］.Journal of the Acoustical Society of America,2008,123(5):3299-3304.
[11]	ERTAS B H,LUO H.Nonlinear dynamic characterization of oil-free wire mesh dampers［J］.Journal of Engineering for Gas Turbines and Power,2008,130(3):1-10.
[12]	李鑫,张利剑,何银铜.改进PSO的金属橡胶卡箍隔振仿真分析与参数优化［J］.智能系统学报,2015,10(4):599-606.LI Xin,ZHANG Lijian,HE Yintong.Simulation analysis and parameter optimization of vibration isolation of metal rubber clamps based on the modified PSO［J］.Chinese Association of Artificial Intelligence(CAAI) Transactions on Intelligent Systems,2015,10(4):599-606.(in Chinese)
[13]	ARSLAN O,AYKAN M,OZGUVEN H N.Modal identification of nonlinear structures and the use of modal model in structural dynamic analysis［C］∥Proceedings of 26th International Modal Analysis Conference(IMAC).Orlando,USA:IMAC,2008:95.
[14]	GATAN KERSCHEN,WORDEN K,VAKAKIS AF,et al.Past,present and future of nonlinear system identification in structural dynamics［J］.Mechanical Systems and Signal Processing,2006,20(3):505-592.
[15]	SCHWINGSHACKL C W,ZANG C,EWINSD J.The influence of nonlinearity on uncertainty and variability for dynamic models［C］∥Proceedings of the 1st International Conference on Uncertainty in Structural Dynamics.Sheffield,UK:The University of Sheffield,2007:311-319.
[16]	张根辈,臧朝平.基于振动测试的非线性参数识别方法［J］.振动与冲击,2013,32(1):83-88.ZHANG Genbei,ZANG Chaoping.A novel method for nonlinear parametric identification based on vibration tests［J］.Journal of Vibration and Shock,2013,32(1):83-88.(in Chinese)
[17]	马双超,臧朝平,兰海波.某航空发动机机匣的动力学模型修正［J］.航空动力学报,2013,28(4):878-884.MA Shuangchao,ZANG Chaoping,LAN Haibo.Dynamic model updating of an aero-engine casing［J］.Journal of Aerospace Power,2013,28(4):878-884.(in Chinese)
[18]	SAS P.Modal analysis theory and testing［M］.Belgium:Departement Werktuigkunde Press,1995.