一种静态转子系统连接参数辨识方法

摘要
图/表
参考文献(18)
相关文章 (15)

全文: PDF (2556 KB) HTML (1 KB)
输出: BibTeX | EndNote (RIS)

摘要

针对转子系统连接参数辨识问题，研究一种转子系统连接参数的辨识方法。以某型含膜盘联轴器的转子试验器为研究对象，建立转子系统有限元模型，将支承刚度、支承位置和膜盘联轴器连接刚度作为辨识参数，并进行参数灵敏度分析。基于大量仿真样本，采用支持向量回归算法(SVR)建立连接参数和固有频率之间的计算代理模型。在模态试验基础上，采用非支配排序遗传算法(NSGA-II)，基于多阶固有频率建立多目标函数，利用多目标优化法，寻找转子连接参数在修正区间中的Pareto最优解，最终识别出转子系统的多个连接参数。与试验结果相比，修正后的动力学模型固有频率仿真结果：第1阶的精度达到97.62%；第2阶的精度达到99.70%。

	服务

	把本文推荐给朋友
	加入我的书架
	加入引用管理器
	E-mail Alert
	RSS
	作者相关文章
	杨默晗
	陈果
	于平超

关键词 ：转子系统, 膜盘联轴器, 有限元计算代理, 模型修正, 参数辨识, 多目标遗传算法

Abstract：

Aiming to identify the connection parameters of a rotor system, a method for identifying the connection parameters was analyzed. The research object was a rotor tester with a diaphragm coupling. First, a finite element model of the rotor system was established, with bearing stiffness, supporting position, and diaphragm coupling stiffness as the identified parameters and then parameter sensitivity analysis was carried out. Second, based on a large number of simulation samples, a support vector regression (SVR) algorithm was used to construct a calculation surrogate model between connection parameters and natural frequencies. Third, by using a non-dominated sorting genetic algorithm Ⅱ (NSGA-Ⅱ), a multi-objective function based on the multi-order natural frequencies and modal test data was established to find Pareto optimal solution to the rotor connection parameters at the optimization intervals. Finally, multiple connection parameters of the rotor system were successfully identified. Compared with the test results, natural frequency simulation results of the modified dynamic model show that the accuracy of the first order reaches 97.62% and the second order reaches 99.70%.

Key words： rotor system diaphragm coupling finite element calculation agent model updating parameter identification multi-objective genetic algorithm

收稿日期: 2019-12-18 出版日期: 2021-04-28

引用本文:

杨默晗，陈果，于平超. 一种静态转子系统连接参数辨识方法[J]. 振动与冲击, 2021, 40(8): 10-18.
YANG Mohan，CHEN Guo，YU Pingchao. A method for identifying connection parameters of a static rotor system. JOURNAL OF VIBRATION AND SHOCK, 2021, 40(8): 10-18.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2021/V40/I8/10

［1］WANG W Z, MOTTERSHEAD J E, IHLE A, et al. Finite element model updating from full-field vibration measurement using digital image correlation［J］. Journal of Sound and Vibration, 2011,330(8): 1599-1620.

［2］郭勤涛,张令弥,费庆国.结构动力学有限元模型修正的发展——模型确认［J］.力学进展, 2006,36(1): 36-42.
GUO Qintao, ZHANG Lingmi, FEI Qingguo. From FE model updating to model validation:advances in modeling of dynamic［J］.Advances in Mechanics, 2006,36(1): 36-42.

［3］宋汉文,王丽炜,王文亮.有限元模型修正中若干重要问题［J］.振动与冲击, 2003,22(4): 68-71.
SONG Hanwen, WANG Liwei, WANG Wenliang. Several im-portant problems for updating finite element model［J］. Journal of Vibration and Shock, 2003,22(4): 68-71.

［4］戴航，袁爱民. 基于灵敏度分析的结构模型修正［M］. 北京:科学出版社, 2011.

［5］JAISHI B, REN W X. Structural finite element model updating using ambient vibration test results［J］. Journal of Structural Engineering, 2005,131(4): 617-628.

［6］张保强,郭勤涛,陈国平,等.基于复模态模型修正方法的磁悬浮轴承支承参数识别［J］.南京航空航天大学学报, 2010,42(6): 748-752.
ZHANG Baoqiang, GUO Qintao, CHEN Guoping, et al. Parameter identification of active magnetic bearing support based on finite element model updating using complex modal data ［J］. Journal of Nanjing University of Aeronautics and Astronautics, 2010,42(6): 748-752.

［7］赵斌,陈果.转子-支承耦合结构的模型修正研究［J］.航空计算技术, 2014,44(5): 86-91.
ZHAO Bin, CHEN Guo. Study on model updating of a rotor-support coupling structure［J］. Aeronautical Computing Technique, 2014,44(5): 86-91.

［8］MIAO H, ZANG C P, FRISWELL M. Model updating and validation of a dual-rotor system［C］//Proceedings of ISMA 2014 Including USD 2014. Leuven: ISMA, 2014.

［9］刘涛,刘娟.基于二分法-PSO的碰摩转子有限元模型修正［J］.噪声与振动控制, 2018,38(1): 94-98.
LIU Tao, LIU Juan. Rotor rubbing FE model updating based on DPSO［J］. Noise and Vibration Control, 2018,38(1): 94-98.

［10］缪辉,臧朝平,罗欣洋,等.基于薄层单元的拉杆转子接触界面动力学建模及修正［J］.航空动力学报, 2019,34(9): 1927-1935.
MIAO Hui, ZANG Chaoping, LUO Xinyang, et al. Dynamic modeling and updating for contact interface of rod fastening rotor based on thin-layer element ［J］. Journal of Aerospace Power, 2019,34(9): 1927-1935.

［11］余坚,谢寿生,张子阳,等.高压转子非线性接触模型的AC-PSO有限元修正［J］.空军工程大学学报(自然科学版), 2013,14(5): 1-4.
YU Jian, XIE Shousheng, ZHANG Ziyang, et al. Nonlinear finite element contacting model updating in high pressure spool based on adaptive cloud PSO model［J］.Journal of Air Force Engineering University (Natural Science Edition), 2013,14(5): 1-4.

［12］王海朋,陈强.小型涡喷发动机转子系的动力学模型修正［J］.弹箭与制导学报, 2017,37(3): 71-74.
WANG Haipeng, CHEN Qiang. Dynamic model updating of a small turbojet engine rotor system［J］. Journal of Projectiles Rockets Missiles and Guidance, 2017,37(3): 71-74.

［13］CHOUKSEY M, DUTT J K, MODAK S V. Model updating of rotors supported on ball bearings and its application in response prediction and balancing［J］. Measurement, 2013,46(10): 4261-4273.

［14］FENG F Z, KIM Y H, YANG B S. Applications of hybrid optimization techniques for model updating of rotor shafts［J］. Structural and Multidisciplinary Optimization, 2006,32(1): 65-75.

［15］陈果. 航空发动机整机振动耦合动力学模型及其验证［J］. 航空动力学报, 2012,27(2): 241-254.
CHEN Guo. A coupling dynamic model for whole aero-engine vibration and its verification ［J］. Journal of Aerospace Power, 2012,27(2): 241-254.

［16］邓乃扬, 田英杰. 支持向量机:理论、算法与拓展［M］.北京：科学出版社, 2009.

［17］DEB K, PRATAP A, AGARWAL S, et al. A fast and elitist multiobjective genetic algorithm: NSGA-II［J］. IEEE Transactions on Evolutionary Computation, 2002,6(2): 182-197.

［18］李效法. 基于灵敏度分析的模型修正研究及其实现［D］. 南京：南京航空航天大学, 2007.