Application of generalized differential quadrature element method to free vibration of FG-GPLRC T-shaped plates

Engineering Structures - Tập 242 - Trang 112510 - 2021
Mehran Javani1, Yaser Kiani2, Mohammad Reza Eslami1
1Mechanical Engineering Department, Amirkabir University of Technology, Tehran, Iran
2Faculty of Engineering, Shahrekord University, Shahrekord, Iran,

Tài liệu tham khảo

Irie, 1978, Free vibration of cross-shaped, I-shaped and L-shaped plates clamped at all edges, J Sound Vib, 61, 571, 10.1016/0022-460X(78)90456-X

Irie, 1982, Vibrations of cross-shaped, I-shaped, and L-shaped membranes and plates, J Acoust Soc Am, 72, 460, 10.1121/1.388100

Narita Y. Free vibration analysis of cantilevered composite plates of arbitrary planform. JSME Int J Ser Vibration Control Eng Eng Ind 1990;33(3):291–6.

Liew, 1991, Vibration analysis of multi-span plates having orthogonal straight edges, J Sound Vib, 147, 255, 10.1016/0022-460X(91)90714-U

Liew, 1998, Vibration of plates having orthogonal straight edges with clamped boundaries, J Eng Mech, 124, 184, 10.1061/(ASCE)0733-9399(1998)124:2(184)

Shi, 1996, A finite element time domain modal formulation for large amplitude free vibrations of beams and plates, J Sound Vib, 193, 453, 10.1006/jsvi.1996.0295

Kang, 2000, Application of free vibration analysis of membranes using the non-dimensional dynamic influence function, J Sound Vib, 234, 455, 10.1006/jsvi.1999.2872

Kang, 2009, Free vibration analysis of arbitrarily shaped polygonal plates with simply supported edges using a sub-domain method, J Sound Vib, 327, 271, 10.1016/j.jsv.2009.07.017

Wu, 2008, Mesh-free least-squares-based finite difference method for large-amplitude free vibration analysis of arbitrarily shaped thin plates, J Sound Vib, 317, 955, 10.1016/j.jsv.2008.03.050

Bespalova, 2007, Vibrations of polygonal plates with various boundary conditions, Int Appl Mech, 43, 526, 10.1007/s10778-007-0050-6

Ferreira, 2011, Buckling and vibration analysis of isotropic and laminated plates by radial basis functions, Compos Part B: Eng, 42, 592, 10.1016/j.compositesb.2010.08.001

Bui, 2011, A moving Kriging interpolation-based meshfree method for free vibration analysis of Kirchhoff plates, Comput Struct, 89, 380, 10.1016/j.compstruc.2010.11.006

Roque, 2011, A local radial basis functions—Finite differences technique for the analysis of composite plates, Eng Anal Boundary Elem, 35, 363, 10.1016/j.enganabound.2010.09.012

Roque, 2013, Static deformations and vibration analysis of composite and sandwich plates using a layerwise theory and a local radial basis functions-finite differences discretization, Mech Adv Mater Struct, 20, 666, 10.1080/15376494.2011.646053

Elmalich, 2012, A high-order finite element for dynamic analysis of soft-core sandwich plates, J Sandwich Struct Mater, 14, 525, 10.1177/1099636212449841

Kolarevic, 2016, Free vibration analysis of plate assemblies using the dynamic stiffness method based on the higher order shear deformation theory, J Sound Vib, 364, 110, 10.1016/j.jsv.2015.11.016

Mirzaei, 2016, Free vibration of functionally graded carbon-nanotube-reinforced composite plates with cutout, Beilstein J Nanotechnol, 7, 511, 10.3762/bjnano.7.45

Yamaguchi, 1985, Vibrations of a polygonal plate having orthogonal straight edges by an extended rayleigh-ritz method, J Sound Vib, 98, 313, 10.1016/0022-460X(85)90278-0

Liew, 1995, Flexural vibration of polygonal plates: treatments of sharp re-entrant corners, J Sound Vib, 183, 221, 10.1006/jsvi.1995.0251

Shufrin, 2016, Semi-analytical modeling of cutouts in rectangular plates with variable thickness–Free vibration analysis, Appl Math Model, 40, 6983, 10.1016/j.apm.2016.02.020

Shojaee, 2012, Free vibration analysis of thin plates by using a NURBS-based isogeometric approach, Finite Elem Anal Des, 61, 23, 10.1016/j.finel.2012.06.005

Thai, 2012, Static, free vibration, and buckling analysis of laminated composite Reissner-Mindlin plates using NURBS-based isogeometric approach, Int J Numer Meth Eng, 91, 571, 10.1002/nme.4282

Li, 2014, Static and free vibration analysis of laminated composite plates using isogeometric approach based on the third order shear deformation theory, Adv Mech Eng, 6

Fantuzzi, 2016, Strong formulation isogeometric analysis (SFIGA) for laminated composite arbitrarily shaped plates, Compos Part B: Eng, 96, 173, 10.1016/j.compositesb.2016.04.034

Novoselov KS, Geim AK, Morozov SV, Jiang D, Zhang Y, Dubonos SV, et al. Electric field effect in atomically thin carbon films. Science 2004;306(5696):666–9.

Reddy, 2006, Equilibrium configuration and continuum elastic properties of finite sized graphene, Nanotechnology, 17, 10.1088/0957-4484/17/3/042

Scarpa, 2009, Effective elastic mechanical properties of single layer graphene sheets, Nanotechnology, 20, 10.1088/0957-4484/20/6/065709

Cadelano, 2009, Nonlinear elasticity of monolayer graphene, Phys Rev Lett, 102, 10.1103/PhysRevLett.102.235502

Ni, 2010, Anisotropic mechanical properties of graphene sheets from molecular dynamics, Physica B, 405, 1301, 10.1016/j.physb.2009.11.071

Zhang, 2011, Mechanical properties of bilayer graphene sheets coupled by sp3 bonding, Carbon, 49, 4511, 10.1016/j.carbon.2011.06.058

Rafiee, 2009, Enhanced mechanical properties of nanocomposites at low graphene content, ACS Nano, 3, 3884, 10.1021/nn9010472

Wu, 2017, Thermal buckling and postbuckling of functionally graded graphene nanocomposite plates, Mater Des, 132, 430, 10.1016/j.matdes.2017.07.025

Javani, 2020, Thermal buckling of FG graphene platelet reinforced composite annular sector plates, Thin-Walled Struct, 148, 10.1016/j.tws.2019.106589

Song, 2017, Free and forced vibrations of functionally graded polymer composite plates reinforced with graphene nanoplatelets, Compos Struct, 159, 579, 10.1016/j.compstruct.2016.09.070

Yang, 2018, Buckling and free vibration analyses of functionally graded graphene reinforced porous nanocomposite plates based on Chebyshev-Ritz method, Compos Struct, 193, 281, 10.1016/j.compstruct.2018.03.090

Reddy, 2018, Free vibration of functionally graded-GPL reinforced composite plates with different boundary conditions, Aerosp Sci Technol, 78, 147, 10.1016/j.ast.2018.04.019

Zhao, 2017, Bending and vibration analysis of functionally graded trapezoidal nanocomposite plates reinforced with graphene nanoplatelets (GPLs), Compos Struct, 180, 799, 10.1016/j.compstruct.2017.08.044

Guo, 2018, Vibration of laminated composite quadrilateral plates reinforced with graphene nanoplatelets using the element-free IMLS-Ritz method, Int J Mech Sci, 142, 610, 10.1016/j.ijmecsci.2018.05.029

Gholami, 2018, Nonlinear harmonically excited vibration of third-order shear deformable functionally graded graphene platelet-reinforced composite rectangular plates, Eng Struct, 156, 197, 10.1016/j.engstruct.2017.11.019

Malekzadeh, 2018, Vibration of FG-GPLs eccentric annular plates embedded in piezoelectric layers using a transformed differential quadrature method, Comput Methods Appl Mech Eng, 340, 451, 10.1016/j.cma.2018.06.006

Saidi, 2019, On vibration and stability analysis of porous plates reinforced by graphene platelets under aerodynamical loading, Compos Part B: Eng, 164, 778, 10.1016/j.compositesb.2019.01.074

Selim, 2019, Active vibration control of functionally graded graphene nanoplatelets reinforced composite plates integrated with piezoelectric layers, Thin-Walled Struct, 145, 10.1016/j.tws.2019.106372

Wang Y, Zeng R, Safarpour M. Vibration analysis of FG-GPLRC annular plate in a thermal environment. Mech Based Des Struct Mach 2020. DOI: 10.1080/15397734.2020.1719508.

Wu, 2020, Large amplitude vibration of functionally graded graphene nanocomposite annular plates in thermal environments, Compos Struct, 239, 10.1016/j.compstruct.2020.112047

Javani, 2021, Geometrically Nonlinear Free Vibration of FG-GPLRC Circular Plate on the Nonlinear Elastic Foundation, Compos Struct, 261, 10.1016/j.compstruct.2020.113515

Thai, 2019, Free vibration, buckling and bending analyses of multilayer functionally graded graphene nanoplatelets reinforced composite plates using the NURBS formulation, Compos Struct, 220, 749, 10.1016/j.compstruct.2019.03.100

Thai, 2020, A meshfree approach using naturally stabilized nodal integration for multilayer FG GPLRC complicated plate structures, Eng Anal Boundary Elem, 117, 346, 10.1016/j.enganabound.2020.04.001

Gholami, 2019, Nonlinear stability and vibration of pre/post-buckled multilayer FG-GPLRPC rectangular plates, Appl Math Model, 65, 627, 10.1016/j.apm.2018.08.038

Gholami, 2019, On the nonlinear vibrations of polymer nanocomposite rectangular plates reinforced by graphene nanoplatelets: a unified higher-order shear deformable model, Iran J Sci Technol Trans Mech Eng, 43, 603, 10.1007/s40997-018-0182-9

Wang, 2020, Static response of functionally graded graphene platelet-reinforced composite plate with dielectric property, J Intell Mater Syst Struct, 31, 2211, 10.1177/1045389X20943955

Wang, 2019, Nonlinear free vibration of graphene platelets (GPLs)/polymer dielectric beam, Smart Mater Struct, 28, 10.1088/1361-665X/ab0b51

Wang, 2019, Nonlinear static and dynamic responses of graphene platelets reinforced composite beam with dielectric permittivity, Appl Math Model, 71, 298, 10.1016/j.apm.2019.02.025

Feng, 2017, Nonlinear free vibration of functionally graded polymer composite beams reinforced with graphene nanoplatelets (GPLs), Eng Struct, 140, 110, 10.1016/j.engstruct.2017.02.052

Zhao, 2020, Functionally graded graphene reinforced composite structures: A review, Eng Struct, 210, 10.1016/j.engstruct.2020.110339

Javani, 2021, Free vibration analysis of FG-GPLRC L-shaped plates implementing GDQE approach, Thin-Walled Struct, 162, 10.1016/j.tws.2021.107600

Bagheri, 2018, Free vibration of joined conical-cylindrical-conical shells, Acta Mech, 229, 2751, 10.1007/s00707-018-2133-3

Yang, 2017, Buckling and postbuckling of functionally graded multilayer graphene platelet-reinforced composite beams, Compos Struct, 161, 111, 10.1016/j.compstruct.2016.11.048

Wu, 2017, Dynamic instability of functionally graded multilayer graphene nanocomposite beams in thermal environment, Compos Struct, 162, 244, 10.1016/j.compstruct.2016.12.001

Affdl, 1976, The Halpin-Tsai equations: a review, Polym Eng Sci, 16, 344, 10.1002/pen.760160512

Tornabene, 2015, Strong Formulation Finite Element Method Based on Differential Quadrature: A Survey, Appl Mech Rev, 67, 10.1115/1.4028859

Javani, 2019, Rapid heating vibrations of FGM annular sector plates, Eng Comput, 37, 305, 10.1007/s00366-019-00825-x

Tornabene, 2009, Free vibration analysis of functionally graded panels and shells of revolution, Meccanica, 44, 255, 10.1007/s11012-008-9167-x

Wu, 2018, Parametric instability of thermo-mechanically loaded functionally graded graphene reinforced nanocomposite plates, Int J Mech Sci, 135, 431, 10.1016/j.ijmecsci.2017.11.039

Thông tin
Thông tin xuất bản

Engineering Structures

Tập 242

112510

Thông tin tác giả