Volume 42 Issue 7
Jul.  2021
Turn off MathJax
Article Contents
HUANG Zhidan, XIANG Nan, SU Cheng. NLMS Feedback Vibration Control of Open Cylindrical Shells With Active Constrained Layer Damping[J]. Applied Mathematics and Mechanics, 2021, 42(7): 686-695. doi: 10.21656/1000-0887.410312
Citation: HUANG Zhidan, XIANG Nan, SU Cheng. NLMS Feedback Vibration Control of Open Cylindrical Shells With Active Constrained Layer Damping[J]. Applied Mathematics and Mechanics, 2021, 42(7): 686-695. doi: 10.21656/1000-0887.410312

NLMS Feedback Vibration Control of Open Cylindrical Shells With Active Constrained Layer Damping

doi: 10.21656/1000-0887.410312
Funds:

The National Natural Science Foundation of China(11672121)

  • Received Date: 2020-10-15
  • Rev Recd Date: 2020-11-24
  • A novel partial active constrained layer damping (ACLD) structure was proposed to reduce the vibration of thinwalled open cylindrical shells. Based on the Sanders thinshell theory and the Lagrange equation, the dynamic model for open cylindrical shells with the partial ACLD structure was established. According to the system state space form, an adaptive feedback controller was developed based on the normalized least mean square (NLMS) adaptive filter algorithm and the linear quadratic programming algorithm (LQR) to study the effects of control parameters on the open cylindrical shell midpoint dynamic characteristics and the control voltage. The numerical results demonstrate that, the NLMS feedback control method can ensure the effectiveness of the vibration attenuation of the open cylindrical shell under different control voltage frequencies, different filter orders and different adaptive step sizes. Increasing the adaptive step size and the filtering order can effectively improve the damping decrement but raise the control voltage overshoot, while increasing the filtering order and the frequency control voltage can reduce noise and disturbance to obtain better damping effects.
  • loading
  • [2]LI W, SHEN H J. A layerwise finite element formulation of laminated composite cylindrical shells with piezoelectric layers [J]. Journal of Mechanical Science and Technology,2018,32(2): 731-741.
    AREFI M, KARROUBI R, IRANI-RAHAGHI M. Free vibration analysis of functionally graded laminated sandwich cylindrical shells integrated with piezoelectric layer[J].Applied Mathematics and Mechanics (English Edition),2016,37(7): 821-834.
    [3]ROSTAMI R, MOHAMMADIMEHR M, RAHAGHI M I. Dynamic stability and nonlinear vibration of rotating sandwich cylindrical shell with considering FG core integrated with sensor and actuator[J].Steel and Composite Structures,2019,32(2): 225-237.
    [4]LIU J, YE W B, ZANG Q S, et al. Deformation of laminated and sandwich cylindrical shell with covered or embedded piezoelectric layers under compression and electrical loading[J].Composite Structures,2020,240: 112041. DOI: 10.1016/j.compstruct.2020.112041.
    [5]LOGHMANI A, DANESH M, KWAK M K, et al. Active control of radiated sound power of a smart cylindrical shell based on radiation modes[J].Applied Acoustics,2016,114: 218-229.
    [6]BIGLAR M, MIRDAMADI H R. Configuration optimization of piezoelectric patches attached to functionally graded shear-deformable cylindrical shells considering spillover effects[J].Journal of Intelligent Material Systems and Structures,2016,27(3): 295-313.
    [7]陆静, 袁丽芸. 敷设主动约束层阻尼圆锥壳的控制特性分析[J]. 振动与冲击, 2016,35(9): 141-146.(LU Jing, YUAN Liyun. Control characteristics of a conical shell covered with active constrained layer damping[J].Journal of Vibration and Shock,2016,35(9): 141-146.(in Chinese))
    [8]LOGHMANI A, DANESH M, KWAK M K, et al. Vibration suppression of a piezo-equipped cylindrical shell in a broad-band frequency domain[J].Journal of Sound and Vibration,2017,411: 260-277.
    [9]ROOHOLLAH T, HAMED D G, MOHAMADREZA Z, et al. A robust optimum controller for suppressing radiated sound from an intelligent cylinder based on sliding mode method considering piezoelectric uncertainties[J].Journal of Intelligent Material Systems and Structures,2019,30(20): 3066-3079.
    [10]安方, 张万良, 段勇, 等. 水下压电智能结构振动控制中传感器/作动器位置优化[J]. 船舶力学, 2019,23(4): 488-496.(AN Fang, ZHANG Wanliang, DUAN Yong, et al. Optimal placement of sensor and actuators for vibration control of underwater cylinder bonded with macro fiber composite[J].Journal of Ship Mechanics,2019,23(4): 488-496.
    [11]DONG Y H, LI Y H, LI X Y,et al. Active control of dynamic behaviors of graded graphene reinforced cylindrical shells with piezoelectric actuator/sensor layers[J].Applied Mathematical Modelling,2020,82: 252-270.
    [12]RADEK M, JAROSLAV R, RENE J, et al. Least mean squares and recursive least squares algorithms for total harmonic distortion reduction using shunt active power filter control[J].Energies,2019,12(8): 1-26.
    [13]朱晓锦, 方昱斌, 胡佳明, 等. 压电柔性梁振动变步长Fx-LMS控制算法分析与验证[J]. 振动、测试与诊断, 2020,40(2): 215-221.(ZHU Xiaojin, FANG Yubin, HU Jiaming, et al. Analysis and verification of Fx-LMS vibration control with variable step size for piezoelectric flexible beam[J].Journal of Vibration, Measurement & Diagnosis,2020,40(2): 215-221.(in Chinese))
    [14]LORENTE J, FERRER M, DE GONZALEZ A. The frequency partitioned block modified filtered-x NLMS with orthogonal correction factors for multichannel active noise control[J].Digital Signal Processing,2015,43: 47-58.
    [15]CAO X, SHI L, ZHANG X, et al. Active control of acoustic radiation from laminated cylindrical shells integrated with a piezoelectric layer[J].Smart Material Structures,2013,22(6): 065003. DOI: 10.1088/0964-1726/22/6/065003.
    [16]BODAGHI M, SHAKERI M. An analytical approach for free vibration and transient response of functionally graded piezoelectric cylindrical panels subjected to impulsive loads[J]. Composite Structures,2012,94(5): 1721-1735.
    [17]宋腾, 韩邦成, 郑世强,等. 基于最小位移的磁悬浮转子变极性LMS反馈不平衡补偿[J]. 振动与冲击, 2015,34(7): 24-32.(SONG Teng, HAN Bangcheng, ZHENG Shiqiang, et al. Variable polarity LMS feedback based on displacement nulling to compensate unbalance of magnetic bearing[J].Journal of Vibration and Shock,2015,34(7): 24-32.(in Chinese))
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (432) PDF downloads(23) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return