Abstract
Purpose
The present work proposes active vibration control in a composite material beam using electromagnetic actuators. The advantage of using electromagnetic actuators is applying control force without mechanical contact.
Method
In order to evaluate the performance of the fuzzy control technique, a controller using fuzzy logic was designed. The mathematical model of the beam was obtained through the eigensystem realization algorithm/observer/Kalman identification, which consists of an identification method used to identify modal parameters in complex structures. With the obtained mathematical model, the controllers were designed, responsible for determining the control effort. Electromagnetic actuators are responsible for applying control efforts to stabilize the system.
Results
The numerical simulations responses and the experimental system control responses were obtained from this. The system vibration attenuation was obtained in both procedures with three types of controllers, such that all responses were evaluated, both in the time and frequency domains.
Conclusion
Finally, the robustness of the controller was analyzed from the variation inserted in the dynamic matrix of the system, thus validating the studied methodology.
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References
Rao SS (2018) Mechanical vibrations, 6th edn. Pearson
Mevada J, Prajapati J (2018) Active vibration control of smart beam under parametric variations. J Braz Soc Mech Sci Eng 40:1–9
Lu Q, Wang P, Liu C (2022) An analytical and experimental study on adaptive active vibration control of sandwich beam. Int J Mech Sci 232:107634
Przybylski J, Kulinski K (2022) Nonlinear vibrations of a sandwich piezo-beam system under piezoelectric actuation. Nonlinear Dyn 109(2):689–706
Akumalla RK, Kallannavar VK, Kattimani S (2022) Vibration control of laminated composite cantiléver beam operating in elevated thermal environments using fuzzy logic controller. Noise Vib Worldw 53(4–5):261–273
Ortega B, Carbajal FB, Navarro GS, Salazar MAO (2010) Active vibration control of a rotor-bearing system based on dynamic stiffness. Rev Fac De Ing Univ De Antioq Issue 55:125–133
Jungblut J, Haas J, Rinderknecht S (2022) Active vibration control of an elastic rotor by using its deformation as controlled variable. Mech Syst Signal Process 165:108371
Zhao Q, Yuan J, Jiang H, Yao H, Wen B (2021) Vibration control of a rotor system by shear thickening fluid dampers. J Sound Vib 494:115883
Zhang W, Wu RQ, Siriguleng B (2020) Nonlinear vibrations of a rotor-active magnetic bearing system with 16-pole legs and two degrees of freedom. Shock Vib. https://doi.org/10.1155/2020/5282904
Chen CJ (2011) Development of a neurofuzzy system for structural vibration suppression. In: 2011 International Conference on Machine Learning and Cybernetics, pp 220–225
Takin K, Doroudi R, Doroudi S (2021) Vibration control of structure by optimising the placement of semi-active dampers and fuzzy logic controllers. Aust J Struct Eng 22(3):222–235
Chen ZY, Jiang R, Wang RY, Chen T (2021) Active TMD systematic design of fuzzy control and the application in high-rise buildings. Earthq Struct 21(6):577–585
Sun H, Tang X, Hou S, Wang X (2021) Vibration suppression for large-scale flexible structures based on cable-driven parallel robots. J Vib Control 27(21–22):2536–2547
Chen ZY, Jiang R, Wang RY, Chen T (2021) Apply a robust fuzzy LMI control scheme with AI algorithm to civil frame building dynamic analysis. Comput Concr 28(4):433–440
Li W, Dong X, Yu J, ** and inertia. J Intell Mater Syst Struct 32(13):1484–1503
Carvalho FC, Oliveira MVF, Lara-Molina FA, Cavalini Jr AA, Steffen V Jr (2021) Fuzzy robust control applied to rotor supported by active magnetic bearing. J Vib Control 27(7–8):912–923
Reddy JN (1997) Mechanics of laminated composite plates: theory and analysis, 2nd edn. CRC Press, London
Li L, Liao WH, Zhang D, Zhang Y (2019) Vibration control and analysis of a rotating flexible FGM beam with a lumped mass in temperature field. Compos Struct 208:244–260
Sahoo SR (2019) active control of geometrically nonlinear vibrations of laminated composite beams using piezoelectric composites by element-free Galerkin method. Int J Comput Methods Eng Sci Mech 20(6):514–522
Repinaldo JP, Faria AW, Silva RA, Koroishi EH, Lara-Molina FA (2020) Neuro-fuzzy modal control of smart laminated composite structures modeled via mixed theory and high-order shear deformation theory. Latin Am J Solids Struct. https://doi.org/10.1590/1679-78255873
Chang M, Pakzad S (2014) Observer Kalman filter identification for output-only systems using interactive structural modal identification toolsuite (SMIT). J Bridge Eng 19:04014002
Vicario F, Phan MQ, Betti R, Longman R (2014) OKID as a unified approach to system identification. Adv Astronaut Sci 152:3443–3460
Gagg FL, Conceição S, Vasques C (2014) Experimental identification and control of a cantilever beam using ERA/OKID with a LQR controller. J Control Autom Electr Syst 25:161–173
Ge-Wei C, **nghua C, Piotr O (2020) Modal parameter identification of a multiple-span post-tensioned concrete bridge using hybrid vibration testing data. Eng Struct 219:110953
Pappalardo CM, Domenico G (2017) Experimental identification and control of a frame structure using an actively controlled inertialbased vibration absorber. In: International Conference on Control, Artificial Intelligence, Robotics and Optimization (ICCAIRO), IEEE
Juang JN, Phan M, Horta LG (1993) Identification of observer/Kalman filter Markov parameters: theory and experiments. J Guid Control Dyn 16(2):320–329
Juang JN, Phan M (2001) Identification and control of mechanical systems. Cambridge University Press, New York
Alves MTS, Ribeiro JF (2004) Identificação de Sistemas Mecânicos Lineares usando o ERA (Eigensystem Realization Algorithnm). III Congresso Nacional de Engenharia Mecânica, Belém-PA, Brasil. (in Portuguese)
Alves MTS (2005) Avaliação Numérica e Experimental dos Métodos ERA e ERA/OKID para Identificação de Sistemas Mecânicos. Dissertação de Mestrado, Universidade Federal de Uberlândia, Uberlândia, MG. (in Portuguese).
Juang JN (1994) Applied system identification, 1st edn. Prentice-Hall, New Jersey
Mendonça M, Kondo HS, Souza LB, Palácios RHC, Almeida JPLS (2019) Semi Unknown Environments Exploration Inspired by Swarm Robotics using Fuzzy Cognitive Maps. 2019 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), pp 1–8
Koroishi EH, Borges AS, Cavalini AA Jr, Steffen V Jr (2014) Numerical and experimental modal control of flexible rotor using electromagnetic actuator. Math Probl Eng 2014:1–14
Repinaldo JP, Koroishi EH, Lara-Molina FA (2021) Neuro-Fuzzy control applied on a 2 dof structure using electromagnetic actuators. IEEE Latin Am Trans 19:75–82
Koroishi EH, Lara-Molina FA, Faria AW, Steffen V Jr (2015) Robust Control Applied to a Composite Laminated Beam. J Aerosp Technol Manag São José dos Campos 7(1):70–80
Fung RF, Liu YT, Wang CC (2005) Dynamic model of an electromagnetic actuator for vibration control of a cantilever beam with a tip mass. J Sound Vib 288(4–5):957–980
Wei W, Li Q, Xu F, Zhang X, ** J, Sun F (2020) Research on an electromagnetic actuator for vibration suppression and energy regeneration. Actuators 9(2):42
Liu X, Han C, Wang Y (2016) Design of natural frequency adjustable electromagnetic actuator and active vibration control test. J Low Freq Noise Vib Active Control 35(3):187–206
Acknowledgements
The authors gratefully acknowledge the financial support for this research from Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) (402581/2016-4), Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) and the Fundação Araucária.
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da Silva, C.A.X., Lara-Molina, F.A., da Costa, R.R.C. et al. Vibration Attenuation of a Composite Beam by Fuzzy Control. J. Vib. Eng. Technol. 12, 191–200 (2024). https://doi.org/10.1007/s42417-022-00836-x
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DOI: https://doi.org/10.1007/s42417-022-00836-x