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Archive of Applied Mechanics
Published in: Archive of Applied Mechanics 9/2020

28-05-2020 | Original

Control of a laminated composite plate resting on Pasternak’s foundations using magnetostrictive layers

Authors: Ashraf M. Zenkour, Hela D. El-Shahrany

Published in: Archive of Applied Mechanics | Issue 9/2020

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Abstract

A higher-order shear deformation theory is utilized to discuss the vibration of a laminated composite plate containing four magnetostrictive layers based on Pasternak’s foundations in the current article. Hamilton’s principle is used to derive the governing dynamic equations related to the vibration of present smart structure under velocity feedback control with constant gain distributed. Navier’s approach is utilized to give a solution of simply supported laminated composite plates. Effects of all material properties, modes, thickness ratio, aspect ratio, lamination schemes, magnitude of the feedback parameter, the elastic foundations parameters and the thickness, location and number of magnetostrictive layers, on the vibration damping characteristics of the system are investigated and extensively discussed. Findings of the damping coefficients, damped natural frequencies, damping ratio, vibration time and maximum deflection for some different laminates are computed. The influences of studied parameters on the vibration suppression of plates are illustrated graphically. The results indicate increasing of smart layers structures tends to more control of structure and elastic foundations can contribute the stability of the plate significantly.
previous article Dynamic response and chaos in planar multi-link mechanism considering revolute clearances
next article Stability analysis of rigid multibody mechanical systems with holonomic and nonholonomic constraints

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Appendix
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Literature
1.
Tzou, H., LEE, H.J., Arnold, S.M.: Smart materials, precision sensors/actuators, smart structures and structronic systems. Mech. Adv. Mater. Struct. 11, 367–393 (2004)
2.
Kessler, M.K., Sottos, N.R., White, S.R.: Self-healing structural composite materials. Compos. Part A Appl. Sci. Manuf. 34(8), 743–753 (2003)
3.
Dapino, M.J.: On magnetostrictive materials and their use in adaptive structures. Struct. Eng. Mech. 17, 303–329 (2004)
4.
Joule, J.P.: On a new class of magnetic forces. Ann. Electr. Magn. Chem. 8, 219–224 (1842)
5.
Mccombe, G.P., Etches, J.A., Bondi, I.P., Mellor, P.H.: Magnetostrictive actuation of fiber-reinforced polymer composites. J. Intell. Mater. Syst. 20, 1249–1257 (2009)
6.
de Lacheisserie, E.T.D.: Magnetostriction: Theory and Applications of Magnetoelasticity. CRC Press, Boca Raton (1993)
7.
Jiles, D.C.: Theory of the magnetomechanical effect. J. Phys. D Appl. Phys. 28, 1537–1546 (1995)
8.
Liu, J.P., Fullerton, E., Gutfleisch, O., Sellmyer, D.J.: Nanoscale Magnetic Materials and Applications. Springer, New York (2009)
9.
Hiller, M.W., Bryant, M.D., Umegaki, J.: Attenuation and transformation of vibration through active control of magnetostrictive Terfenol. J. Sound Vib. 134(3), 507–519 (1989)
10.
Reddy, J.N.: Mechanics of Laminated Composite Plates: Theory and Analysis. CRC Press, Boca Raton (1997)MATH
11.
Reddy, J.N.: Energy Principles and Variational Methods in Applied Mechanics. Wiley, New York (2002)
12.
Reddy, J.N., Barbosa, J.I.: On vibration suppression of magnetostrictive beams. Smart Mater. Struct. 9, 4958 (2000)
13.
Murty, A.V.K., Anjanappa, M., Wu, Y.-F., Bhattacharya, B., Bhat, M.S.: Vibration suppression of laminated composite beams using embedded magnetostrictive layers. J. Inst. Eng. (India) Aerosp. Eng. J. 78, 38–44 (1998)
14.
Pradhan, S.C., Ng, T.Y., Lam, K.Y., Reddy, J.N.: Control of laminated composite plates using magnetostrictive layers. Smart Mater. Struct. 10, 657–667 (2001)
15.
Zhang, Y., Zhou, H., Zhou, Y.: Vibration suppression of cantilever laminated composite plate with nonlinear giant magnetostrictive material layers. Acta Mech. Solida Sin. 28, 50–60 (2015)
16.
Subramanian, P.: Vibration suppression of symmetric laminated composite beams. Smart Mater. Struct. 11(6), 880–885 (2002)
17.
Bhattacharya, B., Vidyashankar, B.R., Patsias, S., Tomlinson, G.R.: Active and passive vibration control of flexible structures using a combination of magnetostrictive and ferro-magnetic alloys. Proc. SPIE Smart Struct. Mater. 4073, 204–214 (2000)
18.
Kumar, J.S., Ganesan, N., Swarnamani, S., Padmanabhan, C.: Active control of beam with magnetostrictive layer. Comput. Struct. 81(13), 1375–1382 (2003)
19.
Ghosh, D.P., Gopalakrishnan, S.: Coupled analysis of composite laminate with embedded magnetostrictive patches. Smart Mater. Struct. 14(6), 1462–1473 (2005)
20.
Zhou, H.M., Zhou, Y.H.: Vibration suppression of laminated composite beams using actuators of giant magnetostrictive materials. Smart Mater. Struct. 16(1), 198–206 (2007)
21.
Murty, A.V.K., Anjanappa, M., Wu, Y.-F.: The use of magnetostrictive particle actuators for vibration attenuation of flexible beams. J. Sound Vib. 206(2), 133–149 (1997)
22.
Goodfriend, M.J., Shoop, K.M.: Adaptive characteristics of the magnetostrictive alloy, Terfenol-D, for active vibration control. J. Intell. Mater. Syst. Struct. 3, 245–254 (1992)
23.
Kumar, J.S., Ganesan, N., Swarnamani, S., Padmanabhan, C.: Active control of simply supported plates with a magnetostrictive layer. Smart Mater. Struct. 13(3), 487–492 (2004)
24.
Suman, S.D., Hirwani, C.K., Chaturvedi, A., Panda, S.K.: Effect of magnetostrictive material layer on the stress and deformation behaviour of laminated structure. IOP Conf. Ser.: Mater. Sci. Eng. 178, 012026 (2017)
25.
Koconis, D.B., Kollar, L.P., Springer, G.S.: Shape control of composite plates and shells with embedded actuators I: voltage specified. J. Compos. Mater. 28, 415–458 (1994)
26.
Lee, S.J., Reddy, J.N., Rostamabadi, F.: Transient analysis of laminated composite plates with embedded smart-material layers. Fin. Elem. Anal. Des. 40, 463–483 (2004)
27.
Sathishkumar, R., Vimalajuliet, A., Prasath, J.S.: Terfenol-D: A high power giant magnetostrictive material for submarine mapping. Int. J. Eng. Sci. Technol. 2(12), 7165–7170 (2010)
28.
Anjanappa, M., Bi, J.: Modelling, design and control of embedded Terfenol-D actuator. Smart Struct. Intel. Syst. 1917, 908–918 (1993)
29.
Anjanappa, M., Bi, J.: A theoretical and experimental study of magnetostrictive mini actuators. Smart Mater. Struct. 1, 83–91 (1994)
30.
Anjanappa, M., Bi, J.: Magnetostrictive mini actuators for smart structural application. Smart Mater. Struct. 3, 383–390 (1994)
31.
Arani, A.G., Maraghi, Z.K.: A feedback control system for vibration of magnetostrictive plate subjected to follower force using sinusoidal shear deformation theory. Ain Shams Eng. J. 7, 361–369 (2016)
32.
Reddy, J.N.: On laminated composite plates with integrated sensors and actuators. Eng. Struct. 21(7), 568–593 (1999)
33.
Hong, C.C.: Transient responses of magnetostrictive plates without shear effects. Int. J. Eng. Sci. 47(3), 355–362 (2009)MathSciNetMATH
34.
Hong, C.C.: Transient responses of magnetostrictive plates by using the GDQ method. Eur. J. Mech. A Solids 29(6), 1015–1021 (2010)
35.
Zenkour, A.M.: A comparative study for bending of cross-ply laminated plates resting on elastic foundations. Smart Struct. Syst. 15(6), 1569–1582 (2015)MathSciNet
36.
Pasternak, P.L.: On a new method of analysis of an elastic foundation by means of two foundation constants. Gosudarstvennoe Izdatelstvo Literaturi po Stroitelstvu I Arkhitekture Moscow (1954)
37.
Huang, X.L., Zheng, J.J.: Nonlinear vibration and dynamic response of simply supported shear deformable laminated plates on elastic foundations. Eng. Struct. 25(8), 1107–1119 (2003)
38.
Malekzadeh, P., Setoodeh, A.R.: Large deformation analysis of moderately thick laminated plates on nonlinear elastic foundations by DQM. Compos. Struct. 80(4), 569–579 (2007)
39.
Wen, P.H.: The fundamental solution of Mindlin plates resting on an elastic foundation in the Laplace domain and its applications. Int. J. Solids Struct. 45, 1032–1050 (2008)MATH
40.
Zenkour, A.M., Allam, M.N.M., Sobhy, M.: Effect of transverse normal and shear deformation on a fiber-reinforced viscoelastic beam resting on two-parameter elastic foundations. Int. J. Appl. Mech. 2(1), 87–115 (2010)
41.
Zenkour, A.M.: Trigonometric solution for an exponentially graded thick plates resting on elastic foundations. Arch. Mech. Eng. 65(2), 193–208 (2018)
42.
Zenkour, A.M., Maturi, D.A.: Thermoelastic bending response of a laminated plate resting on elastic foundations. Sci. Iran. A 22(2), 287–298 (2015)
43.
Barati, M.R., Sadr, M.H., Zenkour, A.M.: Buckling analysis of higher order graded smart piezoelectric plates with porosities resting on elastic foundation. Int. J. Mech. Sci. 117, 309–320 (2016)
44.
Zenkour, A.M., Radwan, A.F.: Analysis of multilayered composite plates resting on elastic foundations in thermal environment using a hyperbolic model. J. Braz. Soc. Mech. Sci. Eng. 39(7), 2801–2816 (2017)
45.
Zenkour, A.M., Alghanmi, R.A.: Bending of exponentially graded plates integrated with piezoelectric fiber-reinforced composite actuators resting on elastic foundations. Eur. J. Mech. A/Solids 75, 461–471 (2019)MathSciNetMATH
46.
Zenkour, A.M.: Trigonometric solution for an exponentially graded thick plate resting on elastic foundations. Arch. Mech. Eng. 65(2), 193–208 (2018)
47.
Zenkour, A.M., Radwan, A.F.: Free vibration analysis of multilayered composite and soft core sandwich plates resting on Winkler–Pasternak foundations. J. Sand. Struct. Mater. 20(2), 169–190 (2018)
48.
Zenkour, A.M., Radwan, A.F.: Compressive study of functionally graded plates resting on Winkler–Pasternak foundations under various boundary conditions using hyperbolic shear deformation theory. Arch. Civil Mech. Eng. 18(2), 645–658 (2018)
49.
Zenkour, A.M., Alshehri, N.A.: Buckling analyses of functionally graded plates resting on elastic foundations via a six-variable hyperbolic deformation plate theory. Mater. Focus 6(5), 557–565 (2017)
50.
Civalek, O., Acar, M.H.: Discrete singular convolution method for the analysis of Mindlin plates on elastic foundations. Int. J. Press. Vessel. Pip. 84(9), 527–535 (2007)
51.
Demir, C., Civalek, O.: A new nonlocal FEM via Hermitian cubic shape functions for thermal vibration of nano beams surrounded by an elastic matrix. Compos. Struct. 168, 872–884 (2017)
52.
Akgöz, B., Civalek, O.: Nonlinear vibration analysis of laminated plates resting on nonlinear two-parameters elastic foundations. Steel Compos. Struct. 11, 403–421 (2011)
53.
Bodaghi, M., Saidi, A.R.: Stability analysis of functionally graded rectangular plates under nonlinearly varying in-plane loading resting on elastic foundation. Arch. Appl. Mech. 81(6), 765–780 (2011)MATH
54.
Arani, A.G., Maraghi, Z.K., Arani, H.K.: Vibration control of magnetostrictive plate under multi-physical loads via trigonometric higher order shear deformation theory. J. Vib. Control 23(19), 3057–3070 (2017)MathSciNetMATH
55.
Zenkour, A.M., El-Shahrany, H.D.: Vibration suppression analysis for laminated composite beams contain actuating magnetostrictive layers. J. Comput. Appl. Mech. 50(1), 69–75 (2019)
56.
57.
Karama, M., Afaq, K.S., Mistou, S.: A new theory for laminated composite plates. Proc. Inst. Mech. Eng. Part L J. Mater. 223(2), 53–62 (2009)MATH
58.
Hosseini Hashemi, S.H., Atashipour, S.R., Fadaee, M.: An exact analytical approach for in-plane and out-of plane free vibration analysis of thick laminated transversely isotropic plates. Arch. Appl. Mech. 82(5), 677–698 (2012)MATH
Metadata
Title
Control of a laminated composite plate resting on Pasternak’s foundations using magnetostrictive layers
Authors
Ashraf M. Zenkour
Hela D. El-Shahrany
Publication date
28-05-2020
Publisher
Springer Berlin Heidelberg
Published in
Archive of Applied Mechanics / Issue 9/2020
Print ISSN: 0939-1533
Electronic ISSN: 1432-0681
DOI
https://doi.org/10.1007/s00419-020-01705-3

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