Top

International Journal of Mechanics and Materials in Design

Published in:

24-05-2022

Multi-objective optimization of the active constrained layer damping for smart damping treatment in magneto-electro-elastic plate structures

Authors: Khuong-Duy Ly, Trung Nguyen-Thoi, Tam T. Truong, Sy-Ngoc Nguyen

Published in: International Journal of Mechanics and Materials in Design | Issue 3/2022

Activate our intelligent search to find suitable subject content or patents.

search-config

AI-assisted search

Off

Abstract

A multi-objective optimization approach for optimal smart damping treatment of functionally graded magneto-electro-elastic plate (FGMEE) structures is investigated in the present study. The finite element method is employed to analyze the vibration responses of the FGMEE plate with active constrained layer damping (ACLD) treatment patches consisting of 1-3 piezoelectric composite (1-3 PZC) and a viscoelastic layer. An optimization solving process based on the nondominated sorting genetic algorithm II (NSGA-II) is employed to obtain Pareto-optimum solutions, which show the trade-off relationship between the peak vibration response of the first vibration mode and the structural weight. The design variables include the number and location of ACLD patches, as well as the fiber orientation angles of 1-3 PZC on the surface of the FGMEE plate, in which the piezoelectric fiber orientation angles are taken as discrete variables with the constraint on the manufacturing process. Several plate structures with various shapes are investigated through two numerical examples to demonstrate the effectiveness and reliability of the proposed approach.

previous article Numerical characterization of a piezoelectric composite with hollow metal fillers including new figures of merit, pore shape effects, and distinct piezoceramic types

next article Evaluation of Poisson’s ratio for thin soft material by multiplex procedure of spherical indentation mechanics

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

inform now

Available only for authorised users

Ardakan, M.A., Rezvan, M.T.: Multi-objective optimization of reliability-redundancy allocation problem with cold-standby strategy using nsga-ii. Reliab. Eng. Syst. Saf. 172, 225–238 (2018)CrossRef

Azvine, B., Tomlinson, G., Wynne, R.: Use of active constrained-layer damping for controlling resonant vibration. Smart Mater. Struct. 4(1), 1 (1995)CrossRef

Baz, A.: Robust control of active constrained layer damping. J. Sound Vib. 211(3), 467–480 (1998)CrossRef

Baz, A.M.: Active and passive vibration damping. John Wiley & Sons, Hoboken (2019)CrossRef

Bhangale, R.K., Ganesan, N.: Free vibration of simply supported functionally graded and layered magneto-electro-elastic plates by finite element method. J. Sound Vib. 294(4–5), 1016–1038 (2006)MATHCrossRef

Chen, S., Shi, T., Wang, D., Chen, J.: Multi-objective optimization of the vehicle ride comfort based on kriging approximate model and nsga-ii. J. Mech. Sci. Technol. 29(3), 1007–1018 (2015)CrossRef

Deb, K., Pratap, A., Agarwal, S., Meyarivan, T.: A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Trans. Evol. Comput. 6(2), 182–197 (2002)CrossRef

Emmanuel Nicholas, P., Padmanaban, K.P., Lenin Babu, M.C.: Multi-objective optimization of laminated composite plate with diffused layer angles using Non-dominated Sorting Genetic Algorithm (NSGA-II). Adv. Compos. Lett. 23(4), 96–105 (2014)

Hu, Y., Bie, Z., Ding, T., Lin, Y.: An nsga-ii based multi-objective optimization for combined gas and electricity network expansion planning. Appl. Energy 167, 280–293 (2016)CrossRef

Hwu, C.: Piezoelectric and magneto-electro-elastic materials. In: Anisotropic Elasticity with Matlab. Solid Mechanics and its Applications, vol. 267, pp. 265–287. Springer Science and Business Media BV, Springer, Cham. Switzerland (2021)

Kanasogi, R., Ray, M.: Active constrained layer damping of smart skew laminated composite plates using 1–3 piezoelectric composites. J. Compos. (2013). https://doi.org/10.1155/2013/824163CrossRef

Kattimani, S., Ray, M.: Smart damping of geometrically nonlinear vibrations of magneto-electro-elastic plates. Compos. Struct. 114, 51–63 (2014)CrossRef

Kattimani, S., Ray, M.: Control of geometrically nonlinear vibrations of functionally graded magneto-electro-elastic plates. Int. J. Mech. Sci. 99, 154–167 (2015)CrossRef

Kiran, M., Kattimani, S.C.: Free vibration and static analysis of functionally graded skew magneto-electro-elastic plate. Smart Struct. Syst. 21(4), 493–519 (2018)MATH

Kiran, M., Kattimani, S.C., Vinyas, M.: Porosity influence on structural behaviour of skew functionally graded magneto-electro-elastic plate. Compos. Struct. 191, 36–77 (2018)CrossRef

Koutromanos, I.: Fundamentals of Finite Element Analysis: Linear Finite Element Analysis. John Wiley & Sons, Hoboken (2018)MATH

Kumar, R.S., Ray, M.: Active constrained layer damping of geometrically nonlinear vibrations of smart laminated composite sandwich plates using 1–3 piezoelectric composites. Int. J. Mech. Mater. Des. 8(4), 359–380 (2012)MathSciNetCrossRef

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. 17(6), 065036 (2008)CrossRef

Madeira, J., Araújo, A.L., Soares, C.M., Soares, C.M.: Multiobjective optimization for vibration reduction in composite plate structures using constrained layer damping. Comput. Struct. 232, 105810 (2017)CrossRef

Mahesh, V.: Nonlinear deflection of carbon nanotube reinforced multiphase magneto-electro-elastic plates in thermal environment considering pyrocoupling effects. Math. Methods Appl. Sci. (2020). https://doi.org/10.1002/mma.6858CrossRef

Mahesh, V.: Nonlinear free vibration of multifunctional sandwich plates with auxetic core and magneto-electro-elastic facesheets of different micro-topological textures: FE approach. Mech. Adv. Mater. Struct. (2021a). https://doi.org/10.1080/15376494.2021.1974619CrossRef

Mahesh, V.: Porosity effect on the nonlinear deflection of functionally graded magneto-electro-elastic smart shells under combined loading. Mech. Adv. Mater. Struct. (2021b). https://doi.org/10.1080/15376494.2021.1875086CrossRef

Mahesh, V.: Nonlinear pyrocoupled deflection of viscoelastic sandwich shell with cnt reinforced magneto-electro-elastic facing subjected to electromagnetic loads in thermal environment. Eur. Phys. J. Plus 136(8), 1–30 (2021c)CrossRef

Mahesh, V.: Nonlinear Damped Transient Vibrations of Carbon Nanotube-Reinforced Magneto-Electro-Elastic Shells with Different Electromagnetic Circuits. J. Vib. Eng. Technol. 10, 351–374 (2022a)CrossRef

Mahesh, V.: Effect of carbon nanotube-reinforced magneto-electro-elastic facings on the pyrocoupled nonlinear deflection of viscoelastic sandwich skew plates in thermal environment. Proc. Inst. Mech. Eng. Part L J. Mater. Des. Appl. 236(1), 200–221 (2022b)

Mahesh, V.: Porosity effect on the energy harvesting behaviour of functionally graded magneto-electro-elastic/fibre-reinforced composite beam. Eur. Phys. J. Plus 137(1), 1–39 (2022c)CrossRef

Milazzo, A.: Refined equivalent single layer formulations and finite elements for smart laminates free vibrations. Compos. Part B Eng. 61, 238–253 (2014)CrossRef

Miller, R., Masri, S., Dehghanyar, T., Caughey, T.: Active vibration control of large civil structures. J. Eng. Mech. 114(9), 1542–1570 (1988)

Preumont, A., Seto, K.: Active control of structures. John Wiley & Sons, Hoboken (2008)CrossRef

Qiu, J., Ji, H., Liu, J., Zhu, K.J.: Piezoelectric devices and their application in smart structures. In: 2008 Symposium on Piezoelectricity, Acoustic Waves, and Device Applications. IEEE, pp. 416–422 (2008)

Rabczuk, T., Ren, H., Zhuang, X.: A nonlocal operator method for partial differential equations with application to electromagnetic waveguide problem. Comput. Mater. Cont. 59(2019), Nr1 (2019)

Ramirez, F., Heyliger, P.R., Pan, E.: Discrete layer solution to free vibrations of functionally graded magneto-electro-elastic plates. Mech. Adv. Mater. Struct. 13(3), 249–266 (2006)CrossRef

Ray, M.: Smart damping of laminated thin cylindrical panels using piezoelectric fiber reinforced composites. Int. J. Solids Struct. 44(2), 587–602 (2007)MATHCrossRef

Ray, M., Batra, R.: Smart constrained layer damping of functionally graded s using vertically/obliquely reinforced 1–3 piezocomposite under a thermal environment. Smart Mater. Struct. 17(5), 055007 (2008)CrossRef

Ray, M., Mallik, N.: Performance of smart damping treatment using piezoelectric fiber-reinforced composites. AIAA J. 43(1), 184–193 (2005)CrossRef

Ray, M., Pradhan, A.: The performance of vertically reinforced 1–3 piezoelectric composites in active damping of smart structures. Smart Mater. Struct. 15(2), 631 (2006)CrossRef

Ray, M., Reddy, J.: Optimal control of thin circular cylindrical laminated composite shells using active constrained layer damping treatment. Smart Mater. Struct. 13(1), 64 (2003)CrossRef

Ray, M., Oh, J., Baz, A.: Active constrained layer damping of thin cylindrical shells. J. Sound Vib. 240(5), 921–935 (2001)CrossRef

Ren, H., Zhuang, X., Oterkus, E., Zhu, H., Rabczuk, T.: Nonlocal strong forms of thin plate, gradient elasticity, magneto-electro-elasticity and phase-field fracture by nonlocal operator method. Eng. Comput. (2021). https://doi.org/10.1007/s00366-021-01502-8CrossRef

Ren, H., Lu, Y., Wu, Q., Yang, X., Zhou, A.: Multi-objective optimization of a hybrid distributed energy system using nsga-ii algorithm. Front. Energy 12(4), 518–528 (2018)CrossRef

Ren, H., Zhuang, X., Rabczuk, T.: A higher order nonlocal operator method for solving partial differential equations. Comput. Methods Appl. Mech. Eng. 367, 113132 (2020)MathSciNetMATHCrossRef

Ro, J., Baz, A.: Optimum placement and control of active constrained layer damping using modal strain energy approach. J. Vib. Control 8(6), 861–876 (2002)MATHCrossRef

Srinivas, N., Deb, K.: Muiltiobjective optimization using nondominated sorting in genetic algorithms. Evol. Comput. 2(3), 221–248 (1994)CrossRef

Stanway, R., Rongong, J., Sims, N.: Active constrained-layer damping: a state-of-the-art review. Proc. Inst. Mech. Eng. Part I J. Syst. Control Eng. 217(6), 437–456 (2003)

Thomson, W.T.: Theory of Vibration with Applications. CrC Press, Boca Raton (2018)CrossRef

Tsai, Y.H., Wu, C.P.: Dynamic responses of functionally graded magneto-electro-elastic shells with open-circuit surface conditions. Int. J. Eng. Sci. 46(9), 843–857 (2008)MATHCrossRef

Van den Boomgaard, J., Born, R.: A sintered magnetoelectric composite material batio3-ni (co, mn) fe2o4. J. Mater. Sci. 13(7), 1538–1548 (1978)CrossRef

Vinyas, M.: Vibration control of skew magneto-electro-elastic plates using active constrained layer damping. Compos. Struct. 208, 600–617 (2019)CrossRef

Vinyas, M.: Interphase effect on the controlled frequency response of three-phase smart magneto-electro-elastic plates embedded with active constrained layer damping: Fe study. Mater. Res. Express 6(12), 125707 (2020)CrossRef

Vinyas, M. Computational Analysis of Smart Magneto-Electro-Elastic Materials and Structures: Review and Classification. Arch Computat Methods Eng 28, 1205–1248 (2021)

Vinyas, M., Harursampath, D., Nguyen-Thoi, T.: Influence of active constrained layer damping on the coupled vibration response of functionally graded magneto-electro-elastic plates with skewed edges. Def. Technol. 16(5), 1019–1038 (2020)CrossRef

Vo-Duy, T., Duong-Gia, D., Ho-Huu, V., Vu-Do, H., Nguyen-Thoi, T.: Multi-objective optimization of laminated composite beam structures using nsga-ii algorithm. Compos. Struct. 168, 498–509 (2017)CrossRef

Zhang, J., He, L., Wang, E., Gao, R.: Active vibration control of flexible structures using piezoelectric materials. In: 2009 International Conference on Advanced Computer Control. IEEE, pp. 540–545 (2009)

Zhang, D., Zheng, L.: Vibration characteristics analysis of cld/plate based on the multi-objective optimization. J. Vibroeng. 17(1), 309–329 (2015)

Zhang, L., Chen, L., Xia, S., Ge, Y., Wang, C., Feng, H.: Multi-objective optimization for helium-heated reverse water gas shift reactor by using nsga-ii. Int. J. Heat Mass Transf. 148, 119025 (2020)CrossRef

Zheng, H., Cai, C., Tan, X.: Optimization of partial constrained layer damping treatment for vibrational energy minimization of vibrating beams. Comput. Struct. 82(29–30), 2493–2507 (2004)CrossRef

Zheng, H., Pau, G., Wang, Y.: A comparative study on optimization of constrained layer damping treatment for structural vibration control. Thin-Walled Struct. 44(8), 886–896 (2006)CrossRef

Title: Multi-objective optimization of the active constrained layer damping for smart damping treatment in magneto-electro-elastic plate structures
Authors: Khuong-Duy Ly
Trung Nguyen-Thoi
Tam T. Truong
Sy-Ngoc Nguyen
Publication date: 24-05-2022
Publisher: Springer Netherlands
Published in: International Journal of Mechanics and Materials in Design / Issue 3/2022
Print ISSN: 1569-1713
Electronic ISSN: 1573-8841
DOI: https://doi.org/10.1007/s10999-022-09596-8

Springer Professional

Abstract

Please log in to get access to your license.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Technik"

Other articles of this Issue 3/2022

Stress recovery of laminated non-prismatic beams under layerwise traction and body forces

Design and verification of a magnetorheological elastomer-based actuator to reduce rotor vibration

Advances in the development of superhydrophobic and icephobic surfaces

Vibration analysis of cracked functionally graded elliptical plates based on finite element phase-field model

A transient topology optimization with time-varying deformation restriction via augmented Lagrange method

Numerical characterization of a piezoelectric composite with hollow metal fillers including new figures of merit, pore shape effects, and distinct piezoceramic types

Premium Partners