Journal of Jilin University(Engineering and Technology Edition) ›› 2024, Vol. 54 ›› Issue (2): 365-374.doi: 10.13229/j.cnki.jdxbgxb.20220416

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Finite element modeling and vibration reduction analysis of cylindrical shell structures with equal⁃angle attachment of piezoelectric shunt patches

Wei SUN1,2(),Jun YANG1,2   

  1. 1.School of Mechanical Engineering and Automation,Northeastern University,Shenyang 110819,China
    2.Key Laboratory of Vibration and Control for Aerospace Power Equipment,Ministry of Education,Northeastern University,Shenyang 110819,China
  • Received:2022-04-15 Online:2024-02-01 Published:2024-03-29

Abstract:

Considering that the cylindrical shell structure is prone to produce the petal-shaped mode shape, a method of vibration suppression is proposed to attach multiple piezoelectric shunt patches with equal-angle. Based on the ANSYS platform, the coupling between the cylindrical shell and the piezoelectric patches structure is realized, and the parameter input method of the electronic components in the shunt circuit and the coupling process between the piezoelectric patches are given. A case study is carried out on a cylindrical shell with four piezoelectric shunt patches attached with equal-angle as the object, and the rationality of the proposed finite element modeling method and the vibration reduction effect of the piezoelectric shunt damping patches on the cylindrical shell are proved by experiments. Based on the analysis of the influence of parameters, it can be found that there is an optimal resistance value for the resistance shunt circuit to achieve the optimal damping effect and it is beneficial to reduce vibration when piezoelectric patches are attached to the region with relatively large deformation and increasing the size of piezoelectric patches.

Key words: mechanical design and theory, piezoelectric shunt, thin-walled cylindrical shell, finite element modeling, vibration reduction analysis, equal-angle attachment

CLC Number: 

  • V232.6

Fig.1

Cylindrical shell with 4 equal-angle attachment of piezoelectric shunt patches"

Fig.2

Transition structure"

Fig.3

Experimental system diagram"

Table 1

Comparison of the tested and simulation natural frequencies"

阶次实验ftext/Hz仿真fANSYS/Hzftext-fANSYS/ftext/%
1390.63391.700.27
2434.38421.343.00
3537.50547.321.83
4681.25663.082.67
5912.50906.260.68

Table 2

Comparison of the experimental and simulation mode shape"

阶次实验模态振型仿真模态振型
第1阶
第2阶
第3阶
第4阶
第5阶

Fig.4

Comparison of the simulation and experimental results when the fourth piezoelectric shunt patch acts alone and when all patches act together"

Fig.5

Vibration response of cylindrical shell structure under different conditions"

Fig.6

Vibration response of cylindrical shell structure in the third resonant region under different working conditions"

Fig.7

Vibration response curves under different resistance values"

Fig.8

Vibration responses for different axial attachment positions of piezoelectric patches"

Fig.9

Vibration responses for different circumferential attachment positions of piezoelectric patches"

Fig.10

Vibration responses corresponding to different sizes of piezoelectric patches"

1 Du D X, Sun W, Yan X F, et al. Free vibration analysis of rotating thin-walled cylindrical shells with hard coating based on Rayleigh-Ritz method[J]. Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, 2021, 235(10): 1170-1186.
2 Mohammadi F, Sedaghati R. Linear and nonlinear vibration analysis of sandwich cylindrical shell with constrained viscoelastic core layer[J]. International Journal of Mechanical Sciences, 2012, 54(1): 156-171.
3 陈中石, 孙伟. 局部贴敷黏弹性阻尼层圆柱壳振动频率与阻尼有限元分析[J]. 航空动力学报, 2020, 35(6): 1176-1185.
Chen Zhong-shi, Sun Wei. Finite element analysis of frequency and damping of cylindrical shell partially covered viscoelastic damping layer[J]. Journal of Aerospace Power, 2020, 35(6): 1176-1185.
4 聂斌. 压电结构力学响应的多场耦合稳定节点S-RPIM研究[D].长春:吉林大学机械与航空航天工程学院, 2023.
Nie Bin. Research on multi-field coupled stable node-based S-RPIM for mechanical responses of piezoelectric structures[D]. Changchun: School of Mechanical and Aerospace Engineering, Jilin University, 2023.
5 韩也. 压电抑振技术及其在车门振动控制中的应用研究[D]. 长春:吉林大学机械与航空航天工程学院, 2014.
Han Ye. Research on the technology of piezoelectric vibration control and its application on vehicle door[D]. Chuangchun: College of Mechanical and Aerospace Engineering, Jilin University, 2014.
6 Gripp J, Rade D A. Vibration and noise control using shunted piezoelectric transducers: a review[J]. Mechanical Systems and Signal Processing, 2018, 112: 359-383.
7 Bo Y, Wang K, Hu Z, et al. Shunt damping vibration control technology: a review[J]. Applied Sciences, 2017, 7(5): 494-526.
8 Junior V L, Steffen V, Savi M A. Piezoelectric structural vibration control[J]. Dynamics of Smart Systems and Structures, 2016, 12: 289-309.
9 Kerboua M, Megnounif A, Benguediab M, et al. Vibration control beam using piezoelectric-based smart materials[J]. Composite Structures, 2015, 123: 430-442.
10 常道庆, 刘碧龙, 李晓东, 等. 具有压电分流电路薄板的吸声特性Ⅰ.理论分析[J]. 声学学报: 中文版, 2008, 33(2): 131-137.
Chang Dao-qing, Liu Bi-long, Li Xiao-dong, et al. Sound absorption characteristics of a thin plate with PZT shunted with passive electrical circuit I.Theoretical analysis[J]. Journal of acoustics(The Chinese version), 2008, 33(2): 131-137.
11 Cross C J, Fleeter S. Shunted piezoelectrics for passive control of turbomachine blading flow-induced vibrations[J]. Smart Materials and Structures, 2002, 11(2): 239-248.
12 Liu J, Li L, Huang X, et al. Dynamic characteristics of the blisk with synchronized switch damping based on negative capacitor[J]. Mechanical Systems and Signal Processing, 2017, 95: 425-445.
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 Neubauer M, Wallascheck J. Vibration damping with shunted piezoceramics: fundamentals and technical applications[J]. Mechanical Systems and Signal Processing, 2013, 36(1): 36-52.
15 Bucher O, Fink F, Kreissig V. Steering wheel for a motor vehicle[P]. Germany:
16 Pernod L, Lossouarn B, Astolfi J A, et al. Vibration damping of marine lifting surfaces with resonant piezoelectric shunts[J]. Journal of Sound and Vibration, 2021, 496:115921.
17 Araújo A L, Aguilar M J F. Optimal passive shunted damping configurations for noise reduction in sandwich panels[J]. Journal of Vibration and Control, 2020, 26: 1110-1118.
18 郭空明, 徐亚兰. Kagome夹心板的多模态压电分流振动控制研究[J]. 振动与冲击, 2017, 36(19): 60-65.
Guo Kong-ming, Xu Ya-lan. Multi-mode piezoelectric shunt vibration control of a Kagome sandwich panel[J]. Vibration and Shock, 2017, 36(19): 60-65.
19 陈良, 杜红军, 王刚, 等. 含负电容谐振分流电路的压电声子晶体梁的局域共振带隙与振动衰减[J]. 振动与冲击, 2016, 35(10): 38-43.
Chen Liang, Du Hong-jun, Wang Gang, et al. Local resonance band gaps and corresponding vibration attenuations of a piezoelectric phononic beam consisting of negative capacitor based resonant circuits[J]. Vibration and Shock, 2016, 35(10): 38-43.
20 Boukraa E, Larbi W, Chaabane M, et al. An Analytical solution for vibration reduction of a thin rectangular plate using shunted piezoelectric patches[J]. Lecture Notes in Mechanical Engineering, 2015, 789: 585-595.
21 Abdullah Y, Baz A. Brake squeal: a control strategy using shunted piezoelectric pads[J]. Journal of Vibration and Acoustics, 2021, 143(3): 031005.
22 Dimitris A S. Passively damped laminated piezoelectric shell structures with integrated electric networks[J]. Aiaa Journal, 2000, 38(7): 1260-1268.
23 Vidoli S, Dell'Isola F. Vibration control in plates by uniformly distributed PZT actuators interconnected via electric networks[J]. European Journal of Mechanics/A Solids, 2001, 20(3): 435-456.
24 Porfiri M, Dell'Isola F, Mascioli F M F. Circuit analog of a beam and its application to multimodal vibration damping, using piezoelectric transducers[J]. International Journal of Circuit Theory and Applications, 2010, 32(4): 167-198.
25 Casadei F, Ruzzene M, Dozio L, et al. Broadband vibration control through periodic arrays of resonant shunts:experimental investigation on plates[J]. Smart Materials and Structures, 2010, 19(1): 015002.
26 Spadoni A, Ruzzene M, Cunefare K. Vibration and wave propagation control of plates with periodic arrays of shunted piezoelectric patches[J]. Journal of Intelligent Material Systems and Structures, 2009, 20(8): 979-990.
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