Finite element modeling and vibration control of composite beams with partially covered active constrained layer damping
Abstract
This paper analyzes the active vibration control of sandwich beams using Active Constrained Layer Damping (ACLD). The finite element model of the viscoelastic sandwich beam combines finite element method with the Golla Hughes McTavish (GHM) model, using a 2-node 8 degrees freedom element. The finite element model is validated by the first four natural frequencies of the model in the literature, and the governing equations of sandwich beams are generated based on the Hamiltonian principle. The physical space dynamic condensation technique and state space complex mode decoupling method are employed to reduce the order of the structural model. This is necessary because free degree of the finite element model is too high to directly control the structure’s vibration. It shows that the fundamental physical characteristics of the structure may remain largely unchanged while the physical and state spaces are jointly reduced. We investigated how the positions and coverages of ACLD patches impact on the active control, vibration damping of viscoelastic sandwich beams.
References
Balamurugan, V., Narayanan, S. Finite element formulation and active vibration control study on beams using smart constrained layer damping (SCLD) treatment. Journal of Sound and Vibration, 2002, 249, 227–250
Benjeddou, A. Advances in hybrid active-passive vibration and noise control via piezoelectric and viscoelastic constrained layer treatments. Journal of Vibration and Control, 2001, 7, 565–602
Gülbahçe, E., Çelik, M. Active vibration control of a smart beam by a tuner-based PID controller. Journal of Low Frequency Noise, Vibration and Active Control, 2018, 37, 1125–1133
Kumar, N., Singh, S. P. Vibration and damping characteristics of beams with active constrained layer treatments under parametric variations. Materials & Design, 2009, 30, 4162–4174
Gupta, A., Panda, S. Hybrid damping treatment of a layered beam using a particle-filled viscoelastic composite layer. Composite Structures, 2021, 262, 113623
Guo, Y., Li, L., Zhang, D. Dynamic modeling and vibration analysis of rotating beams with active constrained layer damping treatment in temperature field. Composite Structures, 2019, 226, 111217
Mevada, J. R., Prajapati, J. M. Active vibration control of smart beam under parametric variations. J Braz. Soc. Mech. Sci. Eng., 2018, 40, 394
Hayat, K., Mehboob, S., Bux, Q., Ali, A., Matiullab; Khan, D., Altaf, M. Statistical Subspace-Based damage detection and Jerk Energy acceleration for robust structural health monitoring. Buildings, 2023,13,1625
Diyar, K., Rafal, B. A review on different regulation for the measurement of transport noise and vibration. Journal of Measurements in Engineering, 2023,11,196-213
Sheikh, A. H., Topdar, P., Halder, S. An appropriate FE model for through-thickness variation of displacement and potential in thin/moderately thick smart laminates. Composite Structures, 2001, 51, 401–409
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. Journal of Sound and Vibration, 2001, 245, 785–800
Won, S. G., Bae, S. H., Cho, J. R., Bae, S. R., Jeong, W. B. Three-layered damped beam element for forced vibration analysis of symmetric sandwich structures with a viscoelastic core. Finite Elements in Analysis and Design, 2013, 68, 39–51
Damanpack, A. R., Bodaghi, M., Aghdam, M. M., Shakeri, M. Active control of geometrically non-linear transient response of sandwich beams with a flexible core using piezoelectric patches. Composite Structures, 2013, 100, 517–531
Damanpack, A. R., Bodaghi, M. A new sandwich element for modeling of partially delaminated sandwich beam structures. Composite Structures, 2021, 256, 113068
Huang, Z., Qin, Z., Chu, F. A comparative study of finite element modeling techniques for dynamic analysis of elastic-viscoelastic-elastic sandwich structures. Jnl of Sandwich Structures & Materials, 2016, 18, 531–551
Huang, Z., Qin, Z., Chu, F. Damping mechanism of elastic–viscoelastic–elastic sandwich structures. Composite Structures, 2016, 153, 96–107
Lu, Q., Wang, P., Liu, C. An analytical and experimental study on adaptive active vibration control of sandwich beam. International Journal of Mechanical Sciences, 2022, 232, 107634
Li, F.-M., Kishimoto, K., Wang, Y.-S., Chen, Z.-B., Huang, W.-H. Vibration control of beams with active constrained layer damping. Smart Mater. Struct., 2008, 17, 065036
Li, L., Liao, W.-H., Zhang, D., Guo, Y. Vibration analysis of a free moving thin plate with fully covered active constrained layer damping treatment. Composite Structures, 2020, 235, 111742
Zheng, H., Tan, X. M., Cai, C. Damping analysis of beams covered with multiple PCLD patches. International Journal of Mechanical Sciences, 2006, 48, 1371–1383
Zoghaib, L., Mattei, P.-O. Modeling and optimization of local constraint elastomer treatments for vibration and noise reduction. Journal of Sound and Vibration, 2014, 333, 7109–7124
Yaman, M. Finite element vibration analysis of a partially covered cantilever beam with concentrated tip mass. Materials & Design, 2006, 27, 243–250
Gao, Y. S., Zhang, S. Q., Zhao, G. Z., Schmidt, R. Numerical modeling for cantilever sandwich smart structures with partially covered constrained viscoelastic layer. Composite Structures, 2022, 281, 114981
Zhang, D., Zheng, L. Active vibration control of plate partly treated with ACLD using hybrid control. International Journal of Aerospace Engineering, 2014, 2014, 1–12
Huang, Z., Peng, H., Wang, X., Chu, F. Finite element modeling and vibration control of plates with active constrained layer damping treatment. Materials, 2023, 16, 1652
Fedotov, A. V. Shape control and modal control strategies for active vibration suppression of a cantilever beam. Lecture Notes in Mechanical Engineering. Springer International Publishing, Cham, 2022, 234–244
Mohammed, H. A. U.-Q., Wasmi, H. R. Active vibration control of cantilever beam by using optimal LQR controller. jcoeng, 2018, 24, 1–17
Tian, J., Guo, Q., Shi, G. Laminated piezoelectric beam element for dynamic analysis of piezolaminated smart beams and GA-based LQR active vibration control. Composite Structures, 2020, 252, 112480
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