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This work is consisted to investigate the vibration behavior of FGM beams under different boundary conditions with diverse volume fraction. The main objective in this paper is to study the thickness in influence of the sandwich beams skin on the frequencies of the structures. The classical Euler-Bernoulli theory (CLBT) with assuming that the material properties of the FGM layer will evaluated continuously in the thickness direction according to the power law (P-FGM) is used to derived the equation of motion. The frequencies obtained are compared with the natural frequencies of a two-material and those of the base materials.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
919--929
Opis fizyczny
Bibliogr. 25 poz., rys., wykr.
Twórcy
autor
- Mechanics of Structures and Solids Laboratory, Department of Mechanics, Faculty of Technology, BP 89, Cité Ben M'hidi, University of Sidi Bel Abbès, Sidi Bel Abbes 22000, Algeria
autor
- Mechanics of Structures and Solids Laboratory, Department of Mechanics, Faculty of Technology, BP 89, Cité Ben M'hidi, University of Sidi Bel Abbès, Sidi Bel Abbes 22000, Algeria
autor
- Mechanics of Structures and Solids Laboratory, Department of Mechanics, Faculty of Technology, BP 89, Cité Ben M'hidi, University of Sidi Bel Abbès, Sidi Bel Abbes 22000, Algeria
autor
- Mechanics of Structures and Solids Laboratory, Department of Mechanics, Faculty of Technology, BP 89, Cité Ben M'hidi, University of Sidi Bel Abbès, Sidi Bel Abbes 22000, Algeria
Bibliografia
- [1] Kessas, S.: Etude de l'effet de cisaillement transverse sur le comportement des poutres composites, Thèse de Magister en génie civil, Université Mentouri de Constantine, Algerie, 2010.
- [2] Gorman, D.J.: Free vibration analysis of beams and shafts, John Wiley&Sons, 1975.
- [3] Plantema, F.J.: Sandwich Construction, the Bending and Buckling of Sandwich Beam, Plates and Shells, John Wiley and Sons, New York, 1966.
- [4] Allen, H.G.: Analysis and Design of Structural Sandwich Panels, Pergamon Press, Oxford, 1969.
- [5] Whitsny, J.M.: Structural Analysis of Laminated Anisotropic Plates, Technomic, Lancaster, 1987.
- [6] Zenkert, D.: An Introduction to Sandwich Construction, Chameleon Press, London, 1995.
- [7] Vinston, J.R.: The behavior of sandwich structures of isotropic and composite materials, Technomic, Lancaster, 1999.
- [8] Koizumi, M.: The concept of FGM functionally gradient materials, Ceramic Transactions, 34(1), 3-10, 1993.
- [9] Suresh, S., Mortensen, A.: Fundamentals of functionally graded materials, IOM Communications, London, 1998.
- [10] Tanigawa, Y.: Some basic thermo-elastic problems for nonhomogeneous structural materials, Applied Mechanics Reviews, 48, 287-300, 1995.
- [11] Bao, G. and Wang, L.: Multiple cracking in functionally graded ceramic/metal coatings, International Journal of Solids and Structures, 32(19), 2853-2871, 1995.
- [12] Marur, P.R.: textitFracture behaviour of functionally graded materials, Ph. D. dissertation, Auburn University, Alabama, 1999.
- [13] WillIiamsson, R. and Drake, J.T.: Finite element analyses of thermal residual stresses at graded ceramic-metal interfaces|part I: model description and geometrical effects, Journal of Applied Physics, 74(2), 1310-1320, 1995.
- [14] Elmeiche, A., Megueni, A., Lousdad, A.: Free vibration analysis of functionally graded Nanobeams based on different order beam theories using Ritz method, Periodica Polytechnica Mechanical Engineering, Online First 2016, DOI: 10.3311/PPme.8707.
- [15] Venkataraman, S. and Sankar, B.V.: Analysis of sandwich beams with functionally graded core, Proceedings of the 42nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Seattle, AIAA, 1281, 16-19, 2001.
- [16] Anderson, T.A.: A 3-D elasticity solution for a sandwich composite with functionally graded core subjected to transverse loading by a rigid sphere, Composite Structures, 60(3), 265-274, 2003.
- [17] Pan, E. and Han, F.: Exact solution for functionally graded and layered magneto-electro-elastic plates, International Journal of Engineering Science, 43(3-4), 321-339, 2005.
- [18] Shen, H.S.: Postbuckling of FGM plates with piezoelectric actuators under thermo-electromechanical loadings, International Journal of Solids and Structures, 42(23), 6101-6121, 2005.
- [19] Bendine, K., Boukhoulda, B.F., Nouari, M. and Satla, Z.: Structural modeling and active vibration control of smart FGM plate through ANSYS, International Journal of Computational Methods, 1750042, 2016.
- [20] Bendine, K. and Wankhade, R.L.: Vibration control of FGM piezoelectric plate based on LQR genetic search, Open Journal of Civil Engineering, 6(1), 2016.
- [21] He, X.Q., Ng, T.Y., Sivashanker, S. and Liew, K.M.: Active control of FGM plates with integrated piezoelectric sensors and actuators, International Journal of Solids and Structures, 38, 1641-1655, 2001.
- [22] Liew, K.M., He, X.Q., Ng, T.Y. and Sivashanker, S.: Active Control of FGM Plates Subjected to a temperature gradient: Modeling via finite element method based on FSDT, International Journal for Numerical Methods in Engineering, 521, 253-271, 2001.
- [23] Delale, F., Erdogan, F.: The crack problem for a non homogeneous plane, ASME Journal of Applied Mechanics, 50, 609-614, 1983.
- [24] Simsek, M.: Fundamental frequency analysis of functionally graded beams by using different higher-order beam theories, International Journal of Nuclear Engineering and Design, 240, 697-705, 2010.
- [25] Nguyen, T.K., Nguyen, T.T.P. and Vo, T.: Vibration and buckling analysis of functionally graded sandwich beams by a new higher-order shear deformation theory, International Journal of Composites, Part B, 76, 273-285, 2015.
Uwagi
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-6c969ab5-82a7-49f4-9959-c9bc3ce49b8a