双周期压电网络用于叶盘结构振动抑制的研究

推进技术 ›› 2016, Vol. 37 ›› Issue (1): 156-165.

双周期压电网络用于叶盘结构振动抑制的研究

李琳^1,2,邓鹏程^1,2,李超^1,2,范雨^1,2

北京航空航天大学能源与动力工程学院，北京 100191; 先进航空发动机协同创新中心，北京 100191,北京航空航天大学能源与动力工程学院，北京 100191; 先进航空发动机协同创新中心，北京 100191,北京航空航天大学能源与动力工程学院，北京 100191; 先进航空发动机协同创新中心，北京 100191,北京航空航天大学能源与动力工程学院，北京 100191; 先进航空发动机协同创新中心，北京 100191

发布日期:2021-08-15
作者简介:李琳，女，博士，教授，博士生导师，研究领域为结构动力学。E-mail: feililin@ buaa.edu.cn 通讯作者:邓鹏程，男，博士生，研究领域为旋转机械振动抑制。

Research on Vibration Suppression of Bladed Disk Structure with Bi-Periodic Piezoelectric Networks

School of Energy and Power Engineering，Beihang University，Beijing 100191，China; Collaborative Innovation Center for Advanced Aero-Engine，Beijing 100191，China,School of Energy and Power Engineering，Beihang University，Beijing 100191，China; Collaborative Innovation Center for Advanced Aero-Engine，Beijing 100191，China,School of Energy and Power Engineering，Beihang University，Beijing 100191，China; Collaborative Innovation Center for Advanced Aero-Engine，Beijing 100191，China and School of Energy and Power Engineering，Beihang University，Beijing 100191，China; Collaborative Innovation Center for Advanced Aero-Engine，Beijing 100191，China

Published:2021-08-15

摘要/Abstract

摘要： 以整体叶盘振动抑制为目的，利用压电材料在叶盘结构不同扇区形成异周期系统，并将与压电材料连接的外部电路并联或串联形成不同形式的网络，建立该机电耦合系统的动力学方程，分析其对叶盘结构动力学特性的影响效果。研究发现，双周期压电网络对叶盘结构的频率影响很小，在本文所研究的叶盘结构模型的参数变化范围内仅对频率转向区有轻微的影响，变化最大只有2%；但是双周期压电网络会对叶盘结构的模态振型产生很大的影响，会使原各阶单一节径振型变为多节径振型，节径种类数跟双周期数有关；压电网络还会把机械位移转化为电荷位移；同时压电网络中电阻元件的引入提高了系统的模态阻尼比。这些都会对叶盘结构的振动响应起到很好的抑制效果。最后，采用修正的模态置信因子MMAC对双周期压电网络系统进行了振动抑制特性的评估，结果表明，通过对结构系统双周期数的设计能有效提高振动抑制效果。

关键词: 振动抑制；双周期系统；压电网络；模态特性；机械位移；电荷位移

Abstract: For the purpose of reducing vibration of bladed disk structures，the piezoelectric material was allocated to different sectors uniformly to form one special kind of bi-periodic system. The piezoelectric material was connected through the external circuit in different types of the parallel network and the series network. The dynamical equations of this electromechanical coupling system were constructed and dynamic characteristics were analyzed. The results suggest that，in the variation range of bladed disk model parameters in this paper，the bi-periodic piezoelectric network just changes the frequency of bladed disk structure little on the frequency veering region，no more than 2%. However，it changes the modal shape significantly，which splits from single nodal diameter to multi nodal diameters，the nodal diameter type depends on the bi-periodic number. The piezoelectric network also converts mechanical displacement into charge displacement. Meanwhile，the resistance element in the piezoelectric network improves modal damping ratios of the system efficiently. All attenuate vibration well. Finally，the modified modal assurance criterion(MMAC)was used to assess vibration suppression effect of the bi-periodic piezoelectric network system. It shows that the design of the bi-periodic number can effectively reduce vibration.

Key words: Vibration suppression；Bi-periodic system；Piezoelectric network；Modal characteristic；Mechanical displacement；Charge displacement

李琳,邓鹏程,李超,范雨. 双周期压电网络用于叶盘结构振动抑制的研究[J]. 推进技术, 2016, 37(1): 156-165.

LI Lin^1,2,DENG Peng-cheng^1,2,LI Chao^1,2,FAN Yu^1,2. Research on Vibration Suppression of Bladed Disk Structure with Bi-Periodic Piezoelectric Networks[J]. Journal of Propulsion Technology, 2016, 37(1): 156-165.

参考文献

[1] 王建军, 于长波, 姚建尧, 等. 失谐叶盘振动模态局部化定量描述方法[J]. 推进技术, 2009, 30(4): 457-461. (WANG Jian-jun, YU Chang-bo, YAO Jian-yao, et al. Vibratory Mode Localization Factors of Mistuned Bladed Disk Assemblies[J]. Journal of Propulsion Technology, 2009, 30(4): 457-461.)
[2] 姚建尧, 王建军, 李其汉. 基于振型节径谱的失谐叶盘结构动态特性分析评价[J]. 推进技术, 2011, 32(5): 645-653. (YAO Jian-yao, WANG Jian-jun, LI Qi-han. Dynamic Characteristics Assessment of Mistuned Bladed Disk Using Nodal Diameter Spectrum of Mode shapes[J]. Journal of Propulsion Technology, 2011, 32(5): 645-653.)
[3] Griffin J H, Hoosac T M. Model Development and Statistical Investigation of Turbine Blade Mistuning[J]. Journal of Vibration, Acoustics Stress and Reliability in Design, 1984, 106(2): 204-210.
[4] Rzadkowski R. Transient Nozzle Excitation of Mistuned Bladed Discs[J]. Journal of Sound and Vibration, 1996, 190(4): 629-643.
[5] Castanier M P, Pierre C. Consideration on the Benefits of Intentional Blade Mistuning for the Forced Response of Turbomachinery Rotors[J]. Analysis and Design Issues for Modern Aerospace Vehicles, ASME Publication AD, 1997, 55: 419-425.
[6] Kenyon J A, Griffin J H. Forced Response of Turbine Engine Bladed Disks and Sensitivity to Harmonic Mistuning[J]. Journal of Engineering for Gas Turbines and Power, 2003, 125(1): 113-120.
[7] Jones K, O’Hara R. Linear Intentional Mistuning for Reduction of Bladed Disk Forced Response [C]. USA: Proceedings of the 8th National Turbine Engine High Cycle Fatigue Conference, Universal Technology Corp. Dayton, 2003.
[8] WANG Peiyi, LI Lin. Vibration of Bi-Periodic Bladed Disk[R]. ASME GT-2014-26597.
[9] Tang J, Wang K W. Vibration Control of Rotationally Periodic Structures Using Passive Piezoelectric Shunt Networks and Active Compensation[J]. Journal of Vibration and Acoustics, 1999, 121(3): 379-390.
[10] Tang J, Wang K W. Active-Passive Hybrid Piezoelectric Networks for Vibration Control: Comparisons and Improvement [J]. Smart Materials and Structures, 2001, 10(4).
[11] Tang J, Wang K W. Vibration Delocalization of Nearly Periodic Structures Using Coupled Piezoelectric Networks[J]. Journal of Vibration and Acoustics, 2003, 125(1): 95-108.
[12] Yu H B, Wang K W, Zhang J. Piezoelectric Networking with Enhanced Electromechanical Coupling for Vibration Delocalization of Mistuned Periodic Structures—Theory and Experiment [J]. Journal of Sound and Vibration, 2006, 295(1): 246-265.
[13] Yu H B, Wang K W. Piezoelectric Networks for Vibration Suppression of Mistuned Bladed Disks [J]. Journal of Vibration and Acoustics, 2007, 129(5): 559-566.
[14] Struzik R C, Wang K W. Intentionally Mistuned Piezoelectric Networks for the Enhancement of Bladed Disk Structures[C]. San Jose: SPIE Smart Structures and Materials+ Nondestructive Evaluation and Health Monitoring. International Society for Optics and Photonics, 2009: 72921A-72921A-9.
[15] Yu H B, Wang K W. Vibration Suppression of Mistuned Coupled-Blade-Disk Systems Using Piezoelectric Circuitry Network [J]. Journal of Vibration and Acoustics, 2009, 131(2).
[16] LI Lin, FAN Yu. Vibration Dissipation Characteristics of Symmetrical Piezoelectric Networks with Passive Branches[C]. Copenhagen: ASME Turbo Expo 2012: Turbine Technical Conference and Exposition American Society of Mechanical Engineers, 2012: 1263-1273.
[17] 张锦, 刘晓平. 叶轮机振动模态分析理论及数值方法[M]. 北京: 国防工业出版社, 2001.
[18] Anderson T A, Sexton D W. A Vibration Energy Harvesting Sensor Platform for Increased Industrial Efficiency[C]. San Diego: Smart Structures and Materials. International Society for Optics and Photonics, 2006: 61741Y-61741Y-9.
[19] Freipp M L, Atalla M J. Review of Modal Sensing and Actuation Techniques [J]. Shock and Vibration Digest, 2001, 33(1): 3-14.
[20] Yang J S, Zhou H G, Hu Y T, et al. Performance of a Piezoelectric Harvester in Thickness-Stretch Mode of a Plate[J]. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 2005, 52(10): 1872-1876.(编辑:梅瑛)　　　　　　　　　　　　　*　收稿日期:2015-03-25；修订日期:2015-04-27。作者简介:李琳,女,博士,教授,博士生导师,研究领域为结构动力学。E-mail: feililin@ buaa.edu.cn通讯作者:邓鹏程,男,博士生,研究领域为旋转机械振动抑制。E-mail:dpcking@163.com