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Free vibration analysis of sandwich beam with porous FGM core in thermal environment using mesh-free approach

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Thermally induced free vibration of sandwich beams with porous functionally graded material core embedded between two isotropic face sheets is investigated in this paper. The core, in which the porosity phase is evenly or unevenly distributed,has mechanical properties varying continuously along with the thickness according to the power-law distribution. Effects of shear deformation on the vibration behavior are taken into account based on both third-order and quasi-3D beam theories. Three typical temperature distributions, which are uniform, linear, and nonlinear temperature rises, are supposed. A mesh-free approach based on point interpolation technique and polynomial basis is utilized to solve the governing equations of motion. Examples for specific cases are given, and their results are compared with predictions available in the literature to validate the approach. Comprehensive studies are carried out to examine the effects of the beam theories, porosity distributions, porosity volume fraction, temperature rises, temperature change, span-to-height ratio, different boundary conditions, layer thickness ratio, volume fraction index on the vibration characteristics of the beam.
Rocznik
Strony
471--496
Opis fizyczny
Bibliogr. 42 poz., rys.,tab.
Twórcy
  • Faculty of Civil Engineering, The University of Da Nang – University of Science and Technology, Da Nang, Vietnam
autor
  • Hanoi University of Civil Engineering, Hanoi, Vietnam
autor
  • Faculty of Civil Engineering, The University of Da Nang – University of Science and Technology, Da Nang, Vietnam
Bibliografia
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  • [7] M. Lezgy-Nazargah. Fully coupled thermo-mechanical analysis of bi-directional FGM beamsusing NURBS isogeometric finite element approach. Aerospace Science and Technology, 45:154–164, 2015. doi: 10.1016/j.ast.2015.05.006
  • [8] L.C. Trinh, T.P. Vo, H.-T. Thai, and T.-K. Nguyen. An analytical method for the vibration and buckling of functionally graded beams under mechanical and thermal loads. Composites Part B: Engineering, 100:152–163, 2016. doi: 10.1016/j.compositesb.2016.06.067.
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  • [12] S.C. Pradhan and T. Murmu. Thermo-mechanical vibration of FGM sandwich beam under variable elastic foundations using differential quadrature method. Journal of Sound and Vibration, 321(1-2):342–362, 2009. doi: 10.1016/j.jsv.2008.09.018.
  • [13] G.-L. She, F.-G. Yuan, and Y.-R. Ren. Thermal buckling and post-buckling analysis of functionally graded beams based on a general higher-order shear deformation theory. Applied Mathematical Modelling, 47:340–357, 2017. doi: 10.1016/j.apm.2017.03.014.
  • [14] H.-S. Shen and Z.-X. Wang. Nonlinear analysis of shear deformable FGM beams resting on elastic foundations in thermal environments. International Journal of Mechanical Sciences, 81:195–206, 2014. doi: 10.1016/j.ijmecsci.2014.02.020.
  • [15] T.T. Tran, N.H. Nguyen, T.V. Do, P.V. Minh, and N.D. Duc. Bending and thermal buckling of unsymmetric functionally graded sandwich beams in high-temperature environment based on a new third-order shear deformation theory. Journal of Sandwich Structures & Materials, 23(3):906–930, 2021. doi: 10.1177/1099636219849268.
  • [16] A.R. Setoodeh, M. Ghorbanzadeh, and P. Malekzadeh. A two-dimensional free vibration analysis of functionally graded sandwich beams under thermal environment. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 226(12):2860–2873, 2012. doi: 10.1177/0954406212440669.
  • [17] L. Chu, G. Dui, and Y. Zheng. Thermally induced nonlinear dynamic analysis of temperaturedependent functionally graded flexoelectric nanobeams based on nonlocal simplified strain gradient elasticity theory. European Journal of Mechanics - A/Solids, 82:103999, 2020. doi:10.1016/j.euromechsol.2020.103999.
  • [18] Y. Fu, J. Wang, and Y. Mao. Nonlinear analysis of buckling, free vibration and dynamic stability for the piezoelectric functionally graded beams in thermal environment. Applied Mathematical Modelling, 36(9):4324–4340, 2012. doi: 10.1016/j.apm.2011.11.059.
  • [19] W.-R. Chen, C.-S. Chen, and H. Chang. Thermal buckling analysis of functionally graded EulerBernoulli beams with temperature-dependent properties. Journal of Applied and Computational Mechanics, 6(3):457–470, 2020. doi: 10.22055/JACM.2019.30449.1734.
  • [20] N. Wattanasakulpong and V. Ungbhakorn. Linear and nonlinear vibration analysis of elastically restrained ends FGM beams with porosities. Aerospace Science and Technology, 32(1):111–120, 2014. doi: 10.1016/j.ast.2013.12.002.
  • [21] N. Wattanasakulpong and A. Chaikittiratana. Flexural vibration of imperfect functionally graded beams based on Timoshenko beam theory: Chebyshev collocation method. Meccanica, 50(5):1331–1342, 2015. doi: 10.1007/s11012-014-0094-8.
  • [22] D. Shahsavari, M. Shahsavari, L. Li, and B. Karami. A novel quasi-3D hyperbolic theory for free vibration of FG plates with porosities resting on Winkler/Pasternak/Kerr foundation. Aerospace Science and Technology, 72:134–149, 2018. doi: 10.1016/j.ast.2017.11.004
  • [23] Z. Ibnorachid, L. Boutahar, K. EL Bikri, and R. Benamar. Buckling temperature and natural frequencies of thick porous functionally graded beams resting on elastic foundation in a thermal environment. Advances in Acoustics and Vibration, 2019:7986569, 2019. doi: 10.1155/2019/7986569.
  • [24] Ş.D. Akbaş. Thermal effects on the vibration of functionally graded deep beams with porosity. International Journal of Applied Mechanics, 9(5):1750076, 2017. doi: 10.1142/ S1758825117500764.
  • [25] H. Babaei, M.R. Eslami, and A.R. Khorshidvand. Thermal buckling and postbuckling responses of geometrically imperfect FG porous beams based on physical neutral plane. Journal of Thermal Stresses, 43(1):109–131, 2020. doi: 10.1080/01495739.2019.1660600.
  • [26] F. Ebrahimi and A. Jafari. A higher-order thermomechanical vibration analysis of temperaturedependent FGM beams with porosities. Journal of Engineering, 2016:9561504, 2016. doi: 10.1155/2016/9561504.
  • [27] Y. Liu, S. Su, H. Huang, and Y. Liang. Thermal-mechanical coupling buckling analysis of porous functionally graded sandwich beams based on physical neutral plane. Composites Part B: Engineering, 168:236–242, 2019. doi: 10.1016/j.compositesb.2018.12.063.
  • [28] S.S. Mirjavadi, A. Matin, N. Shafiei, S. Rabby, and B. Mohasel Afshari. Thermal buckling behavior of two-dimensional imperfect functionally graded microscale-tapered porous beam. Journal of Thermal Stresses, 40(10):1201–1214, 2017. doi: 10.1080/01495739.2017.1332962.
  • [29] E. Salari, S.A. Sadough Vanini, A.R. Ashoori, and A.H. Akbarzadeh. Nonlinear thermal behavior of shear deformable FG porous nanobeams with geometrical imperfection: Snap-through and postbuckling analysis. International Journal of Mechanical Sciences, 178:105615, 2020.doi: 10.1016/j.ijmecsci.2020.105615.
  • [30] N. Ziane, S.A. Meftah, G. Ruta, and A. Tounsi. Thermal effects on the instabilities of porous FGM box beams. Engineering Structures, 134:150–158, 2017. doi: 10.1016/j.engstruct. 2016.12.039.
  • [31] A.I. Aria, T. Rabczuk, and M.I. Friswell. A finite element model for the thermo-elastic analysis of functionally graded porous nanobeams. European Journal of Mechanics - A/Solids, 77:103767, 2019. doi: 10.1016/j.euromechsol.2019.04.002.
  • [32] G.R. Liu and Y.T. Gu. A point interpolation method for two-dimensional solids. International Journal for Numerical Methods in Engineering, 50(4):937–951, 2001. doi: 10.1002/1097- 0207(20010210)50:4<937::AID-NME62>3.0.CO;2-X.
  • [33] Y.T. Gu and G.R. Liu. A local point interpolation method for static and dynamic analysis of thin beams. Computer Methods in Applied Mechanics and Engineering, 190(42):5515–5528, 2001. doi: 10.1016/S0045-7825(01)00180-3.
  • [34] T.H. Chinh, T.M. Tu, D.M. Duc, and T.Q. Hung. Static flexural analysis of sandwich beam with functionally graded face sheets and porous core via point interpolation meshfree method based on polynomial basic function. Archive of Applied Mechanics, 91:933–947, 2021. doi: 10.1007/s00419-020-01797-x.
  • [35] J.N. Reddy and C.D. Chin. Thermomechanical analysis of functionally graded cylinders and plates. Journal of Thermal Stresses, 21(6):593–626, 1998. doi: 10.1080/01495739808956165.
  • [36] H.-S. Shen. Functionally Graded Materials: Nonlinear Analysis of Plates and Shells. CRC Press, 2016. doi: 10.1201/9781420092578.
  • [37] T.-K. Nguyen, T.P. Vo, B.-D. Nguyen, and J. Lee. An analytical solution for buckling and vibration analysis of functionally graded sandwich beams using a quasi-3D shear deformation theory. Composite Structures, 156:238–252, 2016. doi: 10.1016/j.compstruct.2015.11.074.
  • [38] M. Şimşek. Fundamental frequency analysis of functionally graded beams by using different higher-order beam theories. Nuclear Engineering and Design, 240(4):697–705, 2010. doi: 10.1016/j.nucengdes.2009.12.013.
  • [39] J.N. Reddy. Mechanics of Laminated Composite Plates and Shells: Theory and Analysis, 2nd ed. CRC Press, 2003.
  • [40] G.R. Liu. Meshfree Methods: Moving Beyond the Finite Element Method. 2nd ed. Taylor & Francis, 2009. doi: 10.1201/9781420082104.
  • [41] G.R. Liu, Y.T. Gu, and K.Y. Dai. Assessment and applications of point interpolation methods for computational mechanics. International Journal for Numerical Methods in Engineering, 59(10):1373–1397, 2004. doi: 10.1002/nme.925.
  • [42] T.P. Vo, H.-T. Thai, T.-K. Nguyen, F. Inam, and J. Lee. A quasi-3D theory for vibration and buckling of functionally graded sandwich beams. Composite Structures, 119:1–12, 2015. doi: 10.1016/j.compstruct.2014.08.006.
Uwagi
Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-984e225a-ed65-4df1-8800-dd543d5f9150
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