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基于压电纤维复合材料的旋转叶片主动控制

张博 丁虎 陈立群

张博, 丁虎, 陈立群. 基于压电纤维复合材料的旋转叶片主动控制[J]. 力学学报, 2021, 53(4): 1093-1102. doi: 10.6052/0459-1879-20-448
引用本文: 张博, 丁虎, 陈立群. 基于压电纤维复合材料的旋转叶片主动控制[J]. 力学学报, 2021, 53(4): 1093-1102. doi: 10.6052/0459-1879-20-448
Zhang Bo, Ding Hu, Chen Liqun. ACTIVE VIBRATION CONTROL OF A ROTATING BLADE BASED ON MACRO FIBER COMPOSITE[J]. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(4): 1093-1102. doi: 10.6052/0459-1879-20-448
Citation: Zhang Bo, Ding Hu, Chen Liqun. ACTIVE VIBRATION CONTROL OF A ROTATING BLADE BASED ON MACRO FIBER COMPOSITE[J]. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(4): 1093-1102. doi: 10.6052/0459-1879-20-448

基于压电纤维复合材料的旋转叶片主动控制

doi: 10.6052/0459-1879-20-448
基金项目: 1)国家自然科学基金(11702033);国家自然科学基金(11872159);中央高校基本科研业务费专项资金(300102120106);上海市教委创新项目(2017-01-07-00-09-E00019)
详细信息
    作者简介:

    3)陈立群, 教授, 主要研究方向: 非线性动力学和振动控制. E-mail: chenliqun@hit.edu.cn
    2)张博, 讲师, 主要研究方向: 非线性动力学与振动控制. E-mail: zhang_bo@chd.edu.cn;

    通讯作者:

    张博

    陈立群

  • 中图分类号: O322

ACTIVE VIBRATION CONTROL OF A ROTATING BLADE BASED ON MACRO FIBER COMPOSITE

  • 摘要: 旋转叶片结构的振动失效占据了航空发动机整机故障的相当比重. 发展针对旋转叶片结构的减振技术对于减轻叶片重量, 提升叶片性能, 延长叶片寿命具有重要意义. 通过引入压电纤维复合材料(macro fiber composite, MFC)传感器和作动器, 研究预变形旋转叶片2:1内共振的主动控制. 建立考虑时滞效应的旋转叶片比例微分闭环控制系统运动方程. 通过摄动分析推导出受控叶片的演化方程, 并结合延拓法揭示速度增益、位移增益、时滞量等系统参数对受控系统稳态响应及稳定性的影响规律. 理论研究结果与数值结果得到相互验证. 研究发现时滞量对系统稳定性影响显著, 当时滞超过某临界值时, 演化方程原有的平衡点失稳, 闭环受控系统将缓慢进入一个大振幅的周期运动, 从而丧失控制效果. 位移增益存在一个范围使得系统出现多值稳态响应, 进而破坏了增益平面内系统稳定区和非稳定区域的直线边界. 不恰当的速度增益和位移增益会给受控系统引入新的共振. 研究结果为叶片结构的减振提供了理论基础.

     

  • [1] Yoo HH, Park JH, Park J. Vibration analysis of rotating pre-twisted blades. Computers & Structures, 2001,79(19):1811-1819
    [2] Yoo HH, Shin SH. Vibration analysis of rotating cantilever beams. Journal of Sound and Vibration, 1998,212(5):807-828
    [3] Yao MH, Chen YP, Zhang W. Nonlinear vibrations of blade with varying rotating speed. Nonlinear Dynamics, 2012,68(4):487-504
    [4] Yao MH, Zhang W, Chen YP. Analysis on nonlinear oscillations and resonant responses of a compressor blade. Acta Mechanica, 2014,225(12):3483-3510
    [5] 张伟, 冯志青, 曹东兴. 航空发动机叶片非线性动力学分析. 动力学与控制学报, 2012,10(3):213-221

    (Zhang Wei, Feng Zhiqing, Cao Dongxing. Analysis on nonlinear dynamics of the aero-engine blade. Journal of Dynamics and Control, 2012,10(3):213-221 (in Chinese))
    [6] 王延庆, 郭星辉, 梁宏琨 等. 凸肩叶片的非线性振动特性与运动分岔. 力学学报, 2011,43(4):755-764

    (Wang Yanqing, Guo Xinghui, Liang Hongkun, et al. Nonlinear vibratory characteristics and bifurcations of shrouded blades. Chinese Journal of Theoretical and Applied Mechanics, 2011,43(4):755-764 (in Chinese))
    [7] Zhang W, Niu Y, Behdinan K. Vibration characteristics of rotating pretwisted composite tapered blade with graphene coating layers. Aerospace Science and Technology, 2020,98:105644
    [8] Takabatake H. Effect of dead loads on natural frequencies of beams. Journal of Structural Engineering-Asce, 1991,117(4):1039-1052
    [9] Zhang B, Li YM. Nonlinear vibration of rotating pre-deformed blade with thermal gradient. Nonlinear Dynamics, 2016,86(1):459-478
    [10] Zhang B, Zhang YL, Yang XD, et al. Saturation and stability in internal resonance of a rotating blade under thermal gradient. Journal of Sound and Vibration, 2019,440(3):34-50
    [11] Zhang B, Ding H, Chen LQ. Super-harmonic resonances of a rotating pre-deformed blade subjected to gas pressure. Nonlinear Dynamics, 2019,98(4):2531-2549
    [12] Zhang B, Ding H, Chen LQ. Subharmonic and combination resonance of rotating pre-deformed blades subjected to high gas pressure. Acta Mechanica Solida Sinica, 2020,33(5):635-649
    [13] Zhang B, Ding H, Chen LQ. Three to one internal resonances of a pre-deformed rotating beam with quadratic and cubic nonlinearities. International Journal of Non-Linear Mechanics, 2020,126:103552
    [14] 顾伟, 张博, 丁虎 等. 2:1内共振条件下变转速预变形叶片的非线性动力学响应. 力学学报, 2020,52(4):1131-1142

    (Gu Wei, Zhang Bo, Ding Hu, et al. Nonlinear dynamic response of pre-deformation blade with variable rotational speed under 2:1 internal resonance. Chinese Journal of Theoretical and Applied Mechanics, 2020,52(4):1131-1142 (in Chinese))
    [15] Geng XF, Ding H, Wei KX, et al. Suppression of multiple modal resonances of a cantilever beam by an impact damper. Applied Mathematics and Mechanics-English Edition, 2020,41(3):383-400
    [16] 张红艳, 白长青, 许庆余. 多自由度复杂结构的TMD调谐减震控制研究. 应用力学学报, 2008, 25(4): 583-587, 731-732

    (Zhang Hongyan, Bai Changqing, Xu Qingyu. TMD Design for seismic protection of multi-degree of freedom complex structures. Chinese Journal of Applied Mechanics, 2008, 25(4): 583-587, 731-732 (in Chinese))
    [17] 徐鉴. 振动控制研究进展综述. 力学季刊, 2015,36(4):547-565

    (Xu Jian. Advances of research on vibration contro. Chinese Quarterly of Mechanics, 2015,36(4):547-565 (in Chinese))
    [18] 王在华, 胡海岩. 具有采样反馈的力控制系统稳定性. 力学学报, 2016,48(6):1372-1381

    (Wang Zaihua, Hu Haiyan. Stability of a force control system with sampled-data feedback. Chinese Journal of Theoretical and Applied Mechanics, 2016,48(6):1372-1381 (in Chinese))
    [19] 王强, 梁松, 王在华. 基于采样PD反馈的倒立摆控制系统的稳定性. 动力学与控制学报, 2018,16(4):377-384

    (Wang Qiang, Liang Song, Wang Zaihua. Stability of an inverted pendulum with a sampled-data PD feedback control. Journal of Dynamics and Control, 2018,16(4):377-384 (in Chinese))
    [20] Bailey T, Ubbard JE Jr. Distributed piezoelectric-polymer active vibration control of a cantilever beam. Journal of Guidance, Control, and Dynamics, 1985,8(5):605-611
    [21] 陶鸿飞, 崔升. 压电智能结构的主动控制及压电执行器布局优化. 动力学与控制学报, 2019,17(3):234-243

    (Tao Hongfei, Cui Sheng. Active control of piezoelectric structures and optimal placement of piezoelectric actuators. Journal of Dynamics and Control, 2019,17(3):234-243 (in Chinese))
    [22] 涂建维, 张家瑞, 罗威 等. 宏纤维复合平板结构的作动方程与试验验证. 武汉大学学报(工学版), 2019,52(4):324-330

    (Tu Jianwei, Zhang Jiarui, Luo Wei, et al. Actuating equation and experimental verification of macro-fiber composite coupled-plate structures. Engineering Journal of Wuhan University, 2019,52(4):324-330 (in Chinese))
    [23] 李蒙, 李凤明. 采用MFC压电作动器对复合材料悬臂板振动主动控制. 动力学与控制学报, 2017,15(4):342-349

    (Li Meng, Li Fengming. Active vibration control of a catilevered laminated plate using MFC actuators. Journal of Dynamics and Control, 2017,15(4):342-349 (in Chinese))
    [24] 孙杰, 孙俊, 刘付成 等. 含间隙铰接的柔性航天器刚柔耦合动力学与控制研究. 力学学报, 2020,52(6):1569-1580

    (Sun Jie, Sun Jun, Liu Fucheng, et al. Dynamics and control of rigid-flexible coupling flexible spacecraft with joint clearance. Chinese Journal of Theoretical and Applied Mechanics, 2020,52(6):1569-1580 (in Chinese))
    [25] Min JB, Duffy KP, Choi BB, et al. Numerical modeling methodology and experimental study for piezoelectric vibration damping control of rotating composite fan blades. Computers and Structures, 2013,128:230-242
    [26] Kandil Ali, El-Gohary Hany A. Suppressing the nonlinear vibrations of a compressor blade via a nonlinear saturation controller. Journal of Vibration and Control, 2018,24(8):1488-1504
    [27] Kandil A, El-Ganaini WA. Investigation of the time delay effect on the control of rotating blade vibrations. European Journal of Mechanics A-Solids, 2018,72:16-40
    [28] Kandil A, El-Gohary H. Investigating the performance of a time delayed proportional-derivative controller for rotating blade vibrations. Nonlinear Dynamics, 2018,91(4):2631-2649
    [29] 唐冶, 王涛, 丁千. 主动控制压电旋转悬臂梁的参数振动稳定性分析. 力学学报, 2019,51(6):1872-1881

    (Tang Ye, Wang Tao, Ding Qian. Stability analysis on parametric vibration of piezoelectric rotating cantilever beam with active control. Chinese Journal of Theoretical and Applied Mechanics, 2019,51(6):1872-1881 (in Chinese))
    [30] 韩江, 乔印虎, 张春燕 等. 智能风力机叶片振动主动控制研究综述. 应用力学学报, 2015,32(3):446-453, 449

    (Han Jiang, Qiao Yinhu, Zhang Chunyan, et al. The review for elastomer smart active wind turbine blade vibration control. Chinese Journal of Applied Mechanics, 2015,32(3):446-453, 449 (in Chinese))
    [31] 姚晓成, 赵程, 曾涛. 压电材料在振动控制领域的研究进展与应用现状. 机械工程材料, 2019,43(6):72-76

    (Yao Xiaocheng, Zhao Cheng, Zeng Tao. Research progress and application status of piezoelectric materials for vibration control. Materials for Mechanical Engineering, 2019,43(6):72-76 (in Chinese))
    [32] 胡海岩. 线性受控系统的反馈时滞可辨识性. 振动工程学报, 2001(2):41-45

    (Hu Haiyan. Identifiability of feedback delays of linear controlled systems. Journal of Vibration Engineering, 2001(2):41-45 (in Chinese))
    [33] Hu HY, Wang ZH. Stability analysis of damped SDOF systems with two time delays in state feedback. Journal of Sound and Vibration, 1998,214(2):213-225
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  • 收稿日期:  2020-12-24
  • 刊出日期:  2021-04-10

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