Stochastic dynamic analysis of twisted functionally graded plates

Neves, 2013, Free vibration analysis of functionally graded shells by a higher-order shear deformation theory and radial basis functions collocation, accounting for through-the thickness deformations, Eur J Mech Solid, 37, 24, 10.1016/j.euromechsol.2012.05.005 Sidda, 2014, Free vibration behaviour of functionally graded plates using higher-order shear deformation theory, J Appl Sci Eng, 17, 231 Gupta, 2016, Vibration characteristics of functionally graded material plate with various boundary constraints using higher order shear deformation theory, Compos B Eng, 94, 64, 10.1016/j.compositesb.2016.03.006 Tran, 2016, Vibration and buckling analysis of functionally graded plates using new eight-unknown higher order shear deformation theory, Lat Am J Solid Struct, 13, 456, 10.1590/1679-78252522 Sanjay, 2012, Free vibration analysis of functionally graded beams, Defence Sci J, 62, 139, 10.14429/dsj.62.1326 Mirtalaie, 2012, Free vibration analysis of functionally graded moderately thick annular sector plates using differential quadrature method, Appl Mech Mater, 110–116, 2990 Zhao, 2009, Free vibration analysis of functionally graded plates using the element-free kp-Ritz method, J Sound Vib, 319, 918, 10.1016/j.jsv.2008.06.025 Jyoti, 2014, Free vibration analysis of moderately thick functionally graded skew plates, Eng Solid Mech, 2, 229, 10.5267/j.esm.2014.4.001 Nami, 2015, Free vibration of functionally graded size dependent nanoplates based on second order shear deformation theory using nonlocal elasticity theory IJST, Trans Mech Eng, 39, 15 Ramu, 2014, Modal analysis of functionally graded material plates using finite element method, Procedia Mat Sci, 6, 460, 10.1016/j.mspro.2014.07.059 Sharma, 2016, Vibration analysis of functionally graded plates with multiple circular cutouts, Inter J Curr Eng Sci Res, 3 Felix, 2013, Vibration analysis of axially functionally graded rotating timoshenko beams with general variation of cross section, with DQM and FEM, Mecanica Comp, 32, 2131 Natarajan, 2014, Analysis of functionally graded material plates using triangular elements with cell-based smoothed discrete shear gap method, Math Prob Eng, 2014, 10.1155/2014/247932 Singh, 2014, Analysis of functionally graded plates and shells stress, buckling and free vibration, J Aerospace Sci Tech, 66, 127 Jha, 2014, Assessment of higher order shear and normal deformations theories for stress and free vibration of functionally graded plates, BARC Newlat Res Article Issue, 340 Taj, 2013, Static and dynamic analysis of functionally graded skew plates, J Eng Mech, 139, 848, 10.1061/(ASCE)EM.1943-7889.0000523 Gupta, 2017, Nonlinear flexural and vibration response of geometrically imperfect gradient plates using hyperbolic higher-order shear and normal deformation theory, Compos B Eng, 123, 241, 10.1016/j.compositesb.2017.05.010 Adineh, 2017, Three-dimensional thermo-elastic analysis and dynamic response of a multi-directional functionally graded skew plate on elastic foundation, Compos B Eng, 125, 227, 10.1016/j.compositesb.2017.05.070 Wu, 2018, Stochastic static analysis of Euler-Bernoulli type functionally graded structures, Compos B Eng, 134, 69, 10.1016/j.compositesb.2017.09.050 Kim, 2005, Temperature dependent vibration analysis of functionally graded rectangular plates, J Sound Vib, 284, 531, 10.1016/j.jsv.2004.06.043 He, 2001, Active control of FGM plates with integrated piezoelectric sensors and actuators, Int J Solids Struct, 38, 1641, 10.1016/S0020-7683(00)00050-0 Chen, 2008, Stability of piezoelectric FGM rectangular plates subjected to non-uniformly distributed load, heat and voltage, Adv Eng Softw, 9, 121, 10.1016/j.advengsoft.2006.12.004 Farzam-Rad, 2017, Isogeometric analysis of functionally graded plates using a new quasi-3D shear deformation theory based on physical neutral surface, Compos B Eng, 108, 174, 10.1016/j.compositesb.2016.09.029 Song, 2018, Bending and buckling analyses of functionally graded polymer composite plates reinforced with graphene nanoplatelets, Compos B Eng, 134, 106, 10.1016/j.compositesb.2017.09.043 Apuzzo, 2015, Some analytical solutions of functionally graded Kirchhoff plates, Compos B Eng, 68, 266, 10.1016/j.compositesb.2014.08.048 Barretta, 2015, Analogies between Kirchhoff plates and functionally graded Saint-Venant beams under torsion, Continuum Mech Therm, 27, 499, 10.1007/s00161-014-0385-2 Barretta, 2014, Exact solutions of isotropic viscoelastic functionally graded Kirchhoff plates, Compos Struct, 118, 448, 10.1016/j.compstruct.2014.07.044 Barretta, 2016, Functionally graded Timoshenko nanobeams: a novel nonlocal gradient formulation, Compos B Eng, 100, 208, 10.1016/j.compositesb.2016.05.052 Apuzzo, 2017, Free vibrations of Bernoulli-Euler nano-beams by the stress-driven nonlocal integral model, Compos B Eng, 123, 105, 10.1016/j.compositesb.2017.03.057 Naskar, 2017, Stochastic natural frequency analysis of damaged thin-walled laminated composite beams with uncertainty in micromechanical properties, Compos Struct, 160, 312, 10.1016/j.compstruct.2016.10.035 Barretta, 2015, On torsion of random composite beams, Compos Struct, 132, 915, 10.1016/j.compstruct.2015.06.069 Mukhopadhyay, 2017, Stochastic mechanics of metamaterials, Compos Struct, 162, 85, 10.1016/j.compstruct.2016.11.080 Shaker, 2008, Stochastic finite element analysis of the free vibration of functionally graded material plates, Comput Mech, 41, 707, 10.1007/s00466-007-0226-2 Talha, 2015, Stochastic vibration characteristics of finite element modelled functionally gradient plates, Compos Struct, 130, 95, 10.1016/j.compstruct.2015.04.030 Jagtap, 2011, Stochastic nonlinear free vibration analysis of elastically supported functionally graded materials plate with system randomness in thermal environment, Compos Struct, 93, 3185, 10.1016/j.compstruct.2011.06.010 Karsh, 2018, Spatial vulnerability analysis for the first ply failure strength of composite laminates including effect of delamination, Compos Struct, 184, 554, 10.1016/j.compstruct.2017.09.078 Meirovitch, 1992 Bathe, 1990 Rayleigh, 1945 Touloukian, 1967 Shariyat, 2014, Low-velocity impact analysis of the hierarchical viscoelastic FGM plates, using an explicit shear-bending decomposition theory and the new DQ method, Comp. Struct., 113, 63, 10.1016/j.compstruct.2014.03.003 Oh, 2013, A design of granular-oriented self-organizing hybrid fuzzy polynomial neural networks, Neurocomputing, 119, 292, 10.1016/j.neucom.2013.03.029 Roh, 2010, A fuzzy ensemble of parallel polynomial neural networks with informationgranules formed by fuzzy clustering, Knowl Base Syst, 23, 202, 10.1016/j.knosys.2009.12.002 Yu, 2012, Convergence of gradient method with penalty for Ridge Polynomial neural network, Neurocomputing, 97, 405, 10.1016/j.neucom.2012.05.022 Hsu, 2014, Intelligent control of chaotic systems via self-organizing Hermite-polynomial-based neural network, Neurocomputing, 123, 197, 10.1016/j.neucom.2013.07.008 Bui, 2011, A moving kriging interpolation-based meshfreemethodfor free vibration analysis of Kirchhoff plates, Comput Struct, 89, 380, 10.1016/j.compstruc.2010.11.006 Dey, 2018, Stochastic dynamic stability analysis of composite curved panels subjected to non-uniform partial edge loading, Eur J Mech Solid, 67, 108, 10.1016/j.euromechsol.2017.09.005 Singh, 2009, Modeling vibration frequencies of annular plates by regression based neural network, Appl Soft Comput, 9, 439, 10.1016/j.asoc.2008.05.004 Dey, 2015, Rotational and ply-level uncertainty in response of composite shallow conical shells, Compos Struct, 131, 594, 10.1016/j.compstruct.2015.06.011 Spiridonakos, 2015, Metamodeling of dynamic nonlinear structural systems through polynomial chaos NARX models, Comput Struct, 157, 99, 10.1016/j.compstruc.2015.05.002 Mukhopadhyay, 2016, On quantifying the effect of noise in surrogate based stochastic free vibration analysis of laminated composite shallow shells, Compos Struct, 140, 798, 10.1016/j.compstruct.2015.12.037 Dey, 2016, Effect of cutout on stochastic natural frequency of composite curved panels, Compos B Eng, 105, 188, 10.1016/j.compositesb.2016.08.028 Dey, 2016, A response surface modelling approach for resonance driven reliability based optimization of composite shells, Period Polytech Civ Eng, 60, 103, 10.3311/PPci.8073 Dey, 2018 Metya, 2017, System reliability analysis of soil slopes with general slip surfaces using multivariate adaptive regression splines, Comput Geotech, 87, 212, 10.1016/j.compgeo.2017.02.017 Mukhopadhyay T., A multivariate adaptive regression splines based damage identification methodology for web core composite bridges including the effect of noise, J Sandw Struct Mater, DOI: 10.1177/1099636216682533. Dey, 2015, Efficient lightweight design of FRP bridge deck, Proceed Ins Civil Eng - Struct Build, 168, 697, 10.1680/stbu.14.00134 Mahata, 2016, A polynomial chaos expansion based molecular dynamics study for probabilistic strength analysis of nano-twinned copper, Mater Res Express, 3, 10.1088/2053-1591/3/3/036501 Dey S., Mukhopadhyay T., Naskar S., Dey T. K., Chalak H. D., Adhikari S., Probabilistic characterization for dynamics and stability of laminated soft core sandwich plates, J Sandw Struct Mater, DOI: 10.1177/1099636217694229. Mukhopadhyay, 2016, Structural damage identification: a random sampling-high dimensional model representation approach, Adv Struct Eng, 19, 908, 10.1177/1369433216630370 Mukhopadhyay, 2016, Probabilistic analysis and design of HCP nanowires: an efficient surrogate based molecular dynamics simulation approach, J Mater Sci Technol, 32, 1345, 10.1016/j.jmst.2016.07.019 Dey, 2017, Metamodel based high-fidelity stochastic analysis of composite laminates: a concise review with critical comparative assessment, Compos Struct, 171, 227, 10.1016/j.compstruct.2017.01.061 Dey, 2016, Uncertainty quantification in natural frequency of composite plates - an artificial neural network based approach, Adv Compos Lett, 25, 43, 10.1177/096369351602500203 Mukhopadhyay, 2015, Optimum design of FRP bridge deck: an efficient RS-HDMR based approach, Struct Multidiscip Optim, 52, 459, 10.1007/s00158-015-1251-y Mukhopadhyay, 2015, Optimization of fiber reinforced polymer web core bridge deck – a hybrid approach, Struct Eng Int, 25, 173, 10.2749/101686614X14043795570778 Maric, 2013, Optimization of self-organizing polynomial neural networks, Expert Syst Appl, 40, 4528, 10.1016/j.eswa.2013.01.060 Escobedo-Trujillo, 2016, Neural network and polynomial model to improve the coefficient of performance prediction for solar intermittent refrigeration system, Sol Energy, 129, 28, 10.1016/j.solener.2016.01.041 Manohar, 2005, An artificial neural network analysis of porcine pancreas lipase catalysed esterification of anthranilic acid with methanol, Process Biochem, 40, 3372, 10.1016/j.procbio.2005.03.045 Pareek, 2002, Artificial neural network modeling of a multiphase photodegradation, Sys J Photochem Photobiol A, 149, 139, 10.1016/S1010-6030(01)00640-2 Desai, 2008, Comparison of artificial neural network (ANN) and response surface methodology (RSM) in fermentation media optimization: case study of fermentative production of scleroglucan, Biochem Eng J, 41, 266, 10.1016/j.bej.2008.05.009 Ghaffari, 2008, Performance comparison of neural networks, Environ Sci Technol, 42, 7970 Jodaei, 2012, Free vibration analysis of functionally graded annular plates by state-space based differential quadrature method and comparative modeling by ANN, Compos B Eng, 43, 340, 10.1016/j.compositesb.2011.08.052 Dey, 2016, Uncertain natural frequency analysis of composite plates including effect of noise – a polynomial neural network approach, Compos Struct, 143, 130, 10.1016/j.compstruct.2016.02.007 Mellit, 2012, EPNN-based prediction of meteorological data for renewable energy systems, Revue des Energies Renouvelables, 13, 25 Oh, 2003, Polynomial neural networks architecture: analysis and design, Comput Electr Eng, 29, 703, 10.1016/S0045-7906(02)00045-9 Mukhopadhyay, 2017 Mukhopadhyay, 2017, Effective in-plane elastic moduli of quasi-random spatially irregular hexagonal lattices, Int J Eng Sci, 119, 142, 10.1016/j.ijengsci.2017.06.004 Mukhopadhyay, 2017, Effective mechanical properties of multilayer nano-heterostructures, Sci Rep, 7, 10.1038/s41598-017-15664-3 Mukhopadhyay, 2016, Effective in-plane elastic properties of auxetic honeycombs with spatial irregularity, Mech Mater, 95, 204, 10.1016/j.mechmat.2016.01.009 Mukhopadhyay T., Mahata A., Adhikari S., Asle Zaeem M., Probing the shear modulus of two-dimensional multiplanar nanostructures and heterostructures, Nanoscale, 10, 5280 – 5294. Mukhopadhyay T., Adhikari S., Batou A., Frequency domain homogenization for the viscoelastic properties of spatially correlated quasi-periodic lattices, Int J Mech Sci, DOI: 10.1016/j.ijmecsci.2017.09.004. Mukhopadhyay, 2017, Effective elastic properties of two dimensional multiplanar hexagonal nano-structures, 2D Mater, 4 Mukhopadhyay, 2016, Free vibration analysis of sandwich panels with randomly irregular honeycomb core, J Eng Mech, 142, 10.1061/(ASCE)EM.1943-7889.0001153 Singh, 2017, Low velocity impact responses of functionally graded plates, Procedia Eng, 173, 10.1016/j.proeng.2016.12.010 Baferani, 2011, Accurate solution for free vibration analysis of functionally graded thick rectangular plates resting on elastic foundation, Compos Struct, 93, 1842, 10.1016/j.compstruct.2011.01.020 Ta, 2015, Analytical solution for the dynamic response of functionally graded rectangular plates resting on elastic foundation using a refined plate theory, Appl Math Model, 39, 6243, 10.1016/j.apm.2015.01.062