Nonlinear free vibration of pre- and post-buckled FGM plates on two-parameter foundation in the thermal environment

Composite Structures - Tập 137 - Trang 85-92 - 2016
Maciej Taczała1, Ryszard Buczkowski2, Michal Kleiber3
1West Pomeranian University of Technology, Piastow 41, 71-065 Szczecin, Poland
2Maritime University of Szczecin, Division of Computer Methods, Poboznego 11, 70-507 Szczecin, Poland
3Institute of Fundamental Technological Research, Polish Academy of Sciences, Pawinskiego 5B, 02-106 Warsaw, Poland

Tài liệu tham khảo

Swaminathan, 2015, Stress, vibration and buckling analyses of FGM plates – a state-of-art review, Compos Struct, 120, 10, 10.1016/j.compstruct.2014.09.070 Liew, 2015, Mechanical analysis of functionally graded carbon nanotube reinforced composites: a review, Compos Struct, 120, 90, 10.1016/j.compstruct.2014.09.041 Shen, 2012, Nonlinear vibration of shear deformable FGM cylindrical shells surrounded by an elastic medium, Compos Struct, 94, 1144, 10.1016/j.compstruct.2011.11.012 Shen, 2013, Nonlinear analysis of nanotube-reinforced composite beams resting on elastic foundations in thermal environments, Eng Struct, 56, 698, 10.1016/j.engstruct.2013.06.002 Shen, 2014, Nonlinear vibration of nanotube-reinforced composite cylindrical panels resting on elastic foundations in thermal environments, Compos Struct, 111, 291, 10.1016/j.compstruct.2014.01.010 Yang, 2010, Nonlinear free vibration of single nanotubes using nonlocal Timoshenko beam theory, Physica E, 42, 1727, 10.1016/j.physe.2010.01.035 Rafiee, 2014, Geometrically nonlinear free vibration of shear deformable piezoelectric carbon nanotube/fiber/polymer multiscale laminated composite plates, J Sound Vib, 333, 3236, 10.1016/j.jsv.2014.02.033 Zenkour, 2013, Dynamic bending response of thermoelastic functionally graded plates resting on elastic foundations, Aeoresp Sci Technol, 29, 7, 10.1016/j.ast.2013.01.003 Duc, 2012, Nonlinear dynamic response of imperfect eccentrically stiffened FGM double shallow shells on elastic foundation, Compos Struct, 102, 306, 10.1016/j.compstruct.2013.03.009 Duc, 2012, Transient responses of functionally graded double shells with temperature-dependent material properties in thermal environment, Eur J Mech A/Solids, 47, 101, 10.1016/j.euromechsol.2014.03.002 Najafov, 2013, The non-linear dynamics of FGM truncated conical shells surrounded by an elastic medium, Int J Mech Sci, 66, 33, 10.1016/j.ijmecsci.2012.10.006 Kim, 2015, A general third-order theory of functionally graded plates with modified couple stress effect and von the Kármán nonlinearity: theory and finite element analysis, Acta Mech, 226, 2973, 10.1007/s00707-015-1370-y Neves, 2013, Static, free vibration and buckling analysis of isotropic and sandwich functionally graded plates using a quasi-3D higher-order shear deformation theory and a meshless technique, Compos Part B, 44, 657, 10.1016/j.compositesb.2012.01.089 Ferreira, 2005, Static analysis of functionally graded plates using third-order shear deformation theory and a meshless method, Compos Struct, 69, 449, 10.1016/j.compstruct.2004.08.003 Taczala M, Buczkowski R, Kleiber M. A 16-noded locking-free Mindlin plate resting on two-parameter elastic foundation – static and eigenvalue analysis. Comput Assisted Mech Eng Sci; accepted for publication. Chauhan, 1969, Small- and large-amplitude free vibrations of square shallow shells, Int J Mech Sci, 11, 337, 10.1016/0020-7403(69)90068-X Crisfield, 1981, A fast incremental/iterative solution procedure that handles “snap-through”, Comput Struct, 13, 55, 10.1016/0045-7949(81)90108-5 Reddy, 1998, Thermoelastical analysis of functionally graded cylinders and plates, J Therm Stress, 21, 593, 10.1080/01495739808956165 Taczala, 2015, Postbuckling analysis of functionally graded plates on an elastic foundation, Compos Struct, 132, 842, 10.1016/j.compstruct.2015.06.055 Park, 2006, Thermal postbuckling and vibration analyses of functionally graded plates, J Sound Vib, 289, 77, 10.1016/j.jsv.2005.01.031 Shen, 2014, Nonlinear vibration of nanotube-reinforced composite cylindrical panels resting on elastic foundations in thermal environment, Compos Struct, 111, 291, 10.1016/j.compstruct.2014.01.010