Abstract：In this paper, the dynamic model of the damping cantilever structure of the intelligent constraint layer is established based on the dissipative coordinates and the GHM model, and the vibration active control of the cantilever structure of the intelligent constraint layer is studied. Aiming at the problem of excessive freedom of the structural model, the joint order reduction treatment of the structural model is carried out in the physical space and modal space. The correctness of the modeling method in this paper is verified by specific examples, and then the influence of the laying position of piezoelectric sheet and viscoelastic layer on the vibration control effect and control cost of the system is compared. Finally, the universal applicability of the structural simplification model is verified. The results show that under the condition of the same feedback gain of the controller, the closer the position of the piezoelectric sheet and the viscoelastic layer to the fixed end, the better the system control effect and the smaller the control cost. The simplified model also has a better control effect on noisy input signals.
黄志诚1，黄帆1，王兴国1，褚福磊2. 智能约束层阻尼结构动力学建模及振动主动控制研究[J]. 振动与冲击, 2024, 43(4): 45-51.
HUANG Zhicheng1，HUANG Fan1，WANG Xingguo1，CHU Fulei2. A study on dynamic modeling and active vibration control of intelligent constrained layer damped structures. JOURNAL OF VIBRATION AND SHOCK, 2024, 43(4): 45-51.
[1] Kumar, A.; Behera, R.K. Passive Constrained Layer Damping: A State of the Art Review. Mater. Sci. Eng.2019, 653, 012036.
[2] 郑玲,王宜,谢熔炉.主动约束层阻尼结构的振动控制[J].重庆大学学报,2010,33(02):1-7.
ZHENG Ling, WANG Yi, XIE Ronglu. Vibration control of active constrained layer damping structure[J].Journal of Chongqing University,2010,33(02):1-7.
[3] Liu, Y.; Qin, Z.; Chu, F. Nonlinear forced vibrations of functionally graded piezoelectric cylindrical shells under electric-thermo-mechanical loads. Int. J. Mech. Sci.2021, 201, 106474.
[4] 黄志诚,王兴国,吴南星,褚福磊,罗经.基于层合理论的被动约束层阻尼板有限元建模及动力学分析[J].振动与冲击,2020,39(23):148-153+201.
HUANG Zhicheng, WANG Xingguo, WU Nanxing, CHU Fulei,LUO Jing. Finite element modeling and dynamic analysis of passive constrained layer damping plate based on laminated theory[J].Journal of Vibration And Shock,2020,39(23):148-153+201.
[5] Zhu, R.Z.; Zhang, X.N.; Zhang, S.G.; Dai, Q.Y.; Qin, Z.Y.; Chu, F.L. Modeling and topology optimization of cylindrical shells with partial CLD treatment. Int. J. Mech. Sci.2022, 220, 107145.
[6] Rezaiee-Pajand, M.; Masoodi, A.R. Hygro-thermo-elastic nonlinear analysis of functionally graded porous composite thin and moderately thick shallow panels. Mech. Adv. Mater. Struct.2020, 29, 594–612.
[7] JIANG F, LI L, LIAO W H, 等. Vibration control of a rotating hub-plate with enhanced active constrained layer damping treatment[J/OL]. Aerospace Science and Technology, 2021, 118: 107081.
[8] Hau, L.; H, K, Fung. Effect of ACLD treatment configuration on damping performance of a flexible beam. J. Sound Vib. 269 (2004): 549-567.
[9] Baz, A.; Chen, T. Control of axi-symmetric vibrations of cylindrical shells using active constrained layer damping. Thin-Wall. Struct.2000, 36, 1–20.
[10] Lesieutre, G.A.; Bianchini, E. Time Domain Modeling of Linear Viscoelasticity Using Anelastic Displacement Fields. J. Vib. Acoust.1995, 117, 424–430.
[11] Shi, Y.M.; Li, Z.F.; Hua, H.X.; Fu, Z.F.; Liu, T.X. The modelling and vibration control of beams with active constrained layer damping. J. Sound Vib.2001, 245, 785–800
[12] 王攀,鲁俊,邓兆祥,廖海辰,王正亚,阳小光.基于状态观测器的机敏约束阻尼板模态控制[J].吉林大学学报(工学版),2016,46(04):1057-1064.
WANG Pan, LU Jun, DENG Zhaoxiang ,LIAO Haichen,WANG Zhengya, YANG Xiaoguang. Modal control of sensitive constrained damping plate based on state observer[J].Journal of Jilin University(Engineering Science),2016,46(04):1057-1064.
[13] Adessina, A.; Hamdaoui, M.; Xu, C.; Daya, E.M. Damping properties of bi-dimensional sandwich structures with multi-layered frequency dependent viscoelastic cores.Compos. Struct.2016, 154, 334–343.
[14] Paz, M. Practical Reduction of Structural Eigenproblems. J. Struct. Eng.1983, 109, 2591–2599
[15] Lu, J.; Wang, P. Active vibration control of thin-plate structures with partial SCLD treatment. Mech. Sys. Sig. Pro. 2017, 84, 531–550..
[16] Guyan, R. Reduction of stiffness and mass matrices. AIAA J.1965, 3, 380–380
[17] Huang, Z.C.; Mao, Y.H.; Dai, A.N. Active Vibration Control of Piezoelectric Sandwich Plates. Materials 2022, 15, 3907.
[18] Huang, Z.; Huang, F.; Wang, X.; Chu, F. Active Vibration Control of Composite Cantilever Beams. Materials 2023, 16, 95.
[19] 鲁俊,王攀,邓兆祥,李政,孔德飞.机敏约束层阻尼薄板有限元建模与实验研究[J].机械科学与技术,2016,35(10):1499-1504.
LU Jun, WANG Pan, DENG Zhaoxiang, LI Zheng, KONG Defei. Finite element modeling and experimental study of damping sheet of sensitive constraint layer[J].Mechanical Science and Technology,2016,35(10):1499-1504.
[20] Langote, P.K.; Seshu, P. Finite element analysis of a beam with active constrained layer damping (ACLD) treatment. J. Aerosp. Sci. Technol.2004, 56, 240–253
[21] Adhikari, S.; Friswell, M.I. Eigenderivative analysis of asymmetric non-conservative systems. Int. J. Num. Methods Eng. 2001, 51, 709–733
[22] Trindade, M.A. Reduced-Order Finite Element Models of Viscoelastically Damped Beams through Internal Variables Projection. J. Vib. Acoust.2006, 128, 501–508.
[23] Christensen, R. Theory of Viscoelasticity: An Introduction; Academic Press: New York, NY, USA, 1982
[24] Skelton, R.E. Cost decomposition of linear systems with application to model reduction. Int. J. Control,1980, 32, 1031–1055
