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http://dx.doi.org/10.12989/scs.2020.35.6.753

Nonlinear deflection responses of layered composite structure using uncertain fuzzified elastic properties  

Patle, B.K. (Department of Mechanical Engineering, CVR College of Engineering)
Hirwani, Chetan K. (Department of Mechanical Engineering, National Institute of Technology Patna)
Panda, Subrata Kumar (Department of Mechanical Engineering, National Institute of Technology Rourkela)
Katariya, Pankaj V. (Department of Mechanical Engineering, National Institute of Technology Rourkela)
Dewangan, Hukum Chand (Department of Mechanical Engineering, National Institute of Technology Rourkela)
Sharma, Nitin (School of Mechanical Engineering, KIIT Bhubaneswar)
Publication Information
Steel and Composite Structures / v.35, no.6, 2020 , pp. 753-763 More about this Journal
Abstract
In this article, the influence of fuzzified uncertain composite elastic properties on non-linear deformation behaviour of the composite structure is investigated under external mechanical loadings (uniform and sinusoidal distributed loading) including the different end boundaries. In this regard, the composite model has been derived considering the fuzzified elastic properties (through a triangular fuzzy function, α cut) and the large geometrical distortion (Green-Lagrange strain) in the framework of the higher-order mid-plane kinematics. The results are obtained using the fuzzified nonlinear finite element model via in-house developed computer code (MATLAB). Initially, the model accuracy has been established and explored later to show the dominating elastic parameter affect the deflection due to the inclusion of fuzzified properties by solving a set of new numerical examples.
Keywords
nonlinear bending; Green-Lagrange; laminated composite; fuzzy-FEM; Uncertain properties;
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Times Cited By KSCI : 10  (Citation Analysis)
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1 Mehrparvar, M. and Ghannadpour, S.A.M. (2018), "Plate assembly technique for nonlinear analysis of relatively thick functionally graded plates containing rectangular holes subjected to inplane compressive load", Compos. Struct., 202, 867-880. https://doi.org/10.1016/j.compstruct.2018.04.053   DOI
2 Moens, D. and Vandepitte, D. (2005), "A fuzzy finite element procedure for the calculation of uncertain frequency-response functions of damped structures: Part 1-Procedure", J. Sound Vib., 288(3), 431-462. https://doi.org/10.1016/j.jsv.2005.07.001.   DOI
3 Mukhopadhyay, M. (2009), Mechanics of Composite Materials and Structures, Universities Press, Hyderabad, India.
4 Noor, A.K., Starnes Jr, J.H. and Peters, J.M. (2000), "Uncertainty analysis of composite structures", Comput Method Appl. M., 185(2-4), 413-432. https://doi.org/10.1016/S0045-7825(99)00269-8.   DOI
5 Ovesy, H.R. and Ghannadpour, S.A.M. (2006), "Geometric non-linear analysis of imperfect composite laminated plates, under end shortening and pressure loading, using finite strip method", Compos. Struct., 75, 100-105. https://doi.org/10.1016/j.compstruct.2006.04.005.   DOI
6 Ovesy, H.R. and Ghannadpour, S.A.M. (2007), "Large deflection finite strip analysis of functionally graded plates under pressure loads", Int. J. Struct. Stab. Dyn., 7(2), 193-211. https://doi.org/10.1142/S0219455407002241.   DOI
7 Ovesy, H.R., Ghannadpour, S.A.M. and Morada, G. (2006), "Post-buckling behavior of composite laminated plates under end shortening and pressure loading, using two versions of finite strip method", Compos. Struct., 75, 106-113. https://doi.org/10.1016/j.compstruct.2006.04.006.   DOI
8 Massa, F., Tison, T. and Lallemand, B. (2009), "Fuzzy modal analysis: Prediction of experimental behaviours", J. Sound Vib., 322(1-2), 135-154. https://doi.org/10.1016/j.jsv.2008.10.032.   DOI
9 Ovesy, H.R., Ghannadpour, S.A.M. and Nassirnia, M. (2015), "Post-buckling analysis of rectangular plates comprising Functionally Graded Strips in thermal environments", Comput. Struct., 147, 209-215. https://doi.org/10.1016/j.compstruc.2014.09.011.   DOI
10 Patle, B.K., Hirwani, C.K., Singh, R.P. and Panda, S.K. (2018), "Eigenfrequency and frequency analysis of layered structure using uncertain elastic properties-a fuzzy finite element approach", Int. J. Approximate Reasoning, 98, 163-176. https://doi.org/10.1016/j.ijar.2018.04.013.   DOI
11 Pawar, P.M., Nam Jung, S. and Ronge, B.P. (2012), "Fuzzy approach for uncertainty analysis of thin walled composite beams", Aircr. Eng. Aerosp. Tec., 84(1), 13-22. https://doi.org/10.1108/00022661211194942.   DOI
12 Rao, S. and Sawyer, J.P. (1995), "Fuzzy finite element approach for analysis of imprecisely defined systems", AIAA J., 33(12), 2364-2370. https://doi.org/10.2514/3.12910.   DOI
13 Razavi, S.V., Jumaat, M.Z., EI-Shafie, E.H. and Ronagh, H.R. (2015) "Load-deflection analysis prediction of CFRP strengthened RC slab using RNN", Adv. Concr. Constr., 3(2). https://doi.org/10.12989/acc.2015.3.2.091.
14 Reddy, J.N. and Liu, C.F. (1985), "A higher-order shear deformation theory of laminated elastic shells", Int. J. Eng. Sci., 23(3), 319-330. https://doi.org/10.1016/0020-7225(85)90051-5.   DOI
15 Shahsavari, D. and Janghorban, M. (2017), "Bending and shearing responses for dynamic analysis of single-layer graphene sheets under moving load", J. Braz. Soc. Mech. Sci. Eng., 39(10), 3849-3861. https://doi.org/10.1007/s4043.   DOI
16 Singh, R.P. (2015), Vibration and bending behavior of laminated composite plate with uncertain material properties using fuzzy finite element method, (M.Tech. thesis).
17 Akpan, U.O., Koko, T.S., Orisamolu, I.R. and Gallant, B.K. (2001), "Fuzzy finite-element analysis of smart structures", Smart Mater. Struct., 10(2), 273. https://doi.org/10.1088/0964-1726/10/2/312.   DOI
18 Adhikari, S. and Khodaparast, H.H. (2014), "A spectral approach for fuzzy uncertainty propagation in finite element analysis", Fuzzy Sets Syst., 243, 1-24. https://doi.org/10.1016/j.fss.2013.10.005.   DOI
19 Akhras, G. and Li, W. (2005), "Static and free vibration analysis of composite plates using spline finite strips with higher-order shear deformation", Compos. Part B, 36(6-7), 496-503. https://doi.org/10.1016/j.compositesb.2005.03.001.   DOI
20 Singh, V.K. and Panda, S.K. (2014), "Nonlinear free vibration analysis of single/doubly curved composite shallow shell panels", Thin Wall. Struct., 85, 341-349. https://doi.org/10.1016/j.tws.2014.09.003.   DOI
21 Akpan, U.O., Koko, T.S., Orisamolu, I.R. and Gallant, B.K. (2001), "Practical fuzzy finite element analysis of structures", Finite Elem. Anal. Des., 38(2), 93-111. https://doi.org/10.1016/S0168-874X(01)00052-X.   DOI
22 Arefi, M., Mohammadi, M., Tabatabaeian, A., Dimitri, R. and Tornabene, F. (2018), "Two-dimensional thermo-elastic analysis of FG-CNTRC cylindrical pressure vessels", Steel Compos. Struct., 27(4), 525-536. https://doi.org/10.12989/scs.2018.27.4.525.   DOI
23 Valizadeh, N., Natarajan, S., Gonzalez-Estrada, O. A., Rabczuk, T., Bui, T.Q. and Bordas, S.P.A. (2013a), "NURBS-based finite element analysis of functionally graded plates: Static bending, vibration, buckling and flutter", Compos. Struct., 99, 309-326. https://doi.org/10.1016/j.compstruct.2012.11.008   DOI
24 Szekrenyes, A. and Jozsef, U.J. (2007), "Over-leg Bending Test for Mixed-mode I/II Inter laminar Fracture in Composite Laminates". Int. J. Damage Mech., 16(1), 5-33. https://doi.org/10.1177/1056789507060774.   DOI
25 Taghizadeh, M., Ovesy, H.R. and Ghannadpour, S.A.M. (2015), "Nonlocal integral elasticity analysis of beam bending by using finite element method", Struct. Eng. Mech., 54(4), 755-769 https://doi.org/10.12989/sem.2015.54.4.755.   DOI
26 Talha, M. and Singh, B.N. (2014), "Stochastic perturbation-based finite element for buckling statistics of FGM plates with uncertain material properties in thermal environments", Compos. Struct., 108(1), 823-833. https://doi.org/10.1016/j.compstruct.2013.10.013.   DOI
27 Xia, Y. and Friswell, M. (2014), "Efficient solution of the fuzzy eigenvalue problem in structural dynamics", Eng. Computation, 31(5), 864-878. https://doi.org/10.1108/EC-02-2013-0052.   DOI
28 Bouiadjra, R.B., Mahmoudi, A., Benyoucef, S., Tounsi, A. and Bernard, F. (2018), "Analytical investigation of bending response of FGM plate using a new quasi 3D shear deformation theory: Effect of the micromechanical models", Struct. Eng. Mech., 66(3), 317-328. https://doi.org/10.12989/sem.2018.66.3.317.   DOI
29 Behera, D. and Chakraverty, S. (2013), "Fuzzy finite element based solution of uncertain static problems of structural mechanics", Int. J. Comput. Appl. Technol., 69(15), 6-11. https://doi.org/10.5120/11916-8040.
30 Bennai, R., Atmane, H.A. and Tounsi, A. (2015), "A new higherorder shear and normal deformation theory for functionally graded sandwich beams", Steel Compos. Struct., 19(3), 521-546. https://doi.org/10.12989/scs.2015.19.3.521.   DOI
31 Bui, T. Q., Tran, A.V. and Shah, A.A., (2014), Improved knowledge-based neural network (KBNN) model for predicting spring-back angles in metal sheet bending, Int. J. Modeling, Simul, Scientific Computing, 5, 1350026. https://doi.org/10.1142/S1793962313500268   DOI
32 Bui, T.Q. and Nguyen, M.N. (2013), "Mesh-free galerkin kriging model for bending and buckling analysis of simply supported laminated composite plates", Int. J. Comp. Meth., 10(3), 1350011-26. https://doi.org/10.1142/S0219876213500114.   DOI
33 Ghannadpour, S.A.M. and Barekati, M. (2006), "Initial imperfection effects on post-buckling response of laminated plates under end-shortening strain using Chebyshev techniques", Compos. Struct., 75(1-4), 106-113. https://doi.org/10.1016/j.compstruct.2006.04.006   DOI
34 Zaghloul, S.A. and Kennedy, J.B. (1975), "Nonlinear behaviour of symmetrically laminated plates", J. Appl. Mech., 42, 234-236. https://doi.org/10.1115/1.3423532.   DOI
35 Cherki, A., Plessis, G., Lallemand, B., Tison, T. and Level, P. (2000), "Fuzzy behavior of mechanical systems with uncertain boundary conditions", Comput Method Appl. M., 189(3), 863-873. https://doi.org/10.1016/S0045-7825(99)00401-6.   DOI
36 Cook, R.D., Malkus, D.S., Plesha, M.E. and Witt, R.J. (2000), Concepts and Applications of Finite Element Analysis, 3rd Edition, John Willy and Sons (Asia) Pvt. Ltd., Singapore.
37 Dash, P. and Singh B.N. (2010), "Geometrically nonlinear bending analysis of laminated composite plate", Commun. Nonlinear Sci. Numer. Simul., 15(10), 3170-3181. https://doi.org/10.1016/j.cnsns.2009.11.017.   DOI
38 Dash, P. and Singh, B.N. (2012), "Geometrically nonlinear free vibration of laminated composite plate embedded with piezoelectric layers having uncertain material properties", J. Vib. Acoust., 134(6). https://doi.org/10.1115/1.4006757
39 De Gersem, H., Moens, D., Desmet, W. and Vandepitte, D. (2007), "Interval and fuzzy dynamic analysis of finite element models with superelements", Comput. Struct., 85(5-6), 304-319. https://doi.org/10.1016/j.compstruc.2006.10.011.   DOI
40 Ghannadpour, S.A.M., Ovesy, H.R. and Zia-Dehkordi E. (2014), "An exact finite strip for the calculation of initial post-buckling stiffness of shear-deformable composite laminated plates", Compos. Struct., 108, 504-513. https://doi.org/10.1016/j.compstruct.2013.09.049   DOI
41 Giannini, O. and Hanss, M. (2008), "The component mode transformation method: a fast implementation of fuzzy arithmetic for uncertainty management in structural dynamics", J. Sound Vib., 311(3-5), 1340-1357. https://doi.org/10.1016/j.jsv.2007.10.029.   DOI
42 Liu, Q. and Rao, S.S. (2005), "Fuzzy finite element approach for analysis of fiber-reinforced laminated composite beams", AIAA J., 43(3), 651-661. https://doi.org/10.2514/1.940.   DOI
43 Heydari, M.M., Kolahchi, R., Heydari, M. and Abbasi, A. (2014), "Exact solution for transverse bending analysis of embedded laminated Mindlin plate". Struct. Eng. Mech., 49(5), 661-672. https://doi.org/10.12989/sem.2014.49.5.661.   DOI
44 Houari, T., Bessaim, A., Houari, M.S.A., Benguedia, M. and Tounsi, A. (2018), "Bending analysis of advanced composite plates using a new quasi 3D plate theory", Steel Compos. Struct., 26(5), 557-572. https://doi.org/10.12989/scs.2018.26.5.557.   DOI
45 Jones, R.M. (1975), Mechanics of Composite Materials, Taylor and Francis, Philadelphia.
46 Keleshteri, M.M., Asadi, H. and Aghdam, M. (2019), "Nonlinear bending analysis of FG-CNTRC annular plates with variable thickness on elastic foundation", Thin Wall. Struct., 135, 453-462. https://doi.org/10.1016/j.tws.2018.11.020.   DOI
47 Kolahchi, R., Mohammad, A., Bidgoli, M. and Heydari, M.M. (2015), "Size-dependent bending analysis of FGM nano-sinusoidal plates resting on orthotropic elastic medium", Struct. Eng. Mech., 55(5), 1001-1014. https://doi.org/10.12989/sem.2015.55.5.1001.   DOI
48 Liu, W.K., Belytschko, T. and Mani, A. (1986), "Random field finite elements", Int. J. Numer. Methods Eng., 23(10), 1831-1845. https://doi.org/10.1002/nme.1620231004   DOI
49 Luo, Z., Atamturktur, S., Juang, C.H., Huang, H. and Lin, P.S. (2011), "Probability of serviceability failure in a braced excavation in a spatially random field: Fuzzy finite element approach", Comput. Geotech., 38(8), 1031-1040. https://doi.org/10.1016/j.compgeo.2011.07.009.   DOI
50 Massa, F., Lallemand, B., Tison, T. and Level, P. (2004), "Fuzzy eigensolutions of mechanical structures", Eng. Computation, 21(1), 66-77. https://doi.org/10.1108/02644400410511846.   DOI