On the free vibration analysis of laminated composite and sandwich plates: A review of recent literature with some numerical results

On the Free Vibration Analysis of Laminated Composite and Sandwich Plates: A Layerwise Finite Element Formulation

“…This drawback in ESL was circumvented by the Zig-Zag (ZZ) and layerwise (LW) approaches in which the variables are linked to specific layers (Belarbi and Tati 2015, Belarbi et al 2016, Ćetković and Vuksanović 2009, Chakrabarti and Sheikh 2005, Kapuria and Nath 2013, Khalili et al 2014, Khandelwal et al 2013, Marjanović and Vuksanović 2014, Maturi et al 2014, Sahoo and Singh 2014, Singh et al 2011, Thai et al 2016. For more details, the reader may refer to (Carrera 2002, Ha 1990, Khandan et al 2012, Sayyad and Ghugal 2015.…”

Bending, Vibration and Buckling of Laminated Composite Plates Using a Simple Four Variable Plate Theory

“…In Table 4, non-dimensional natural frequencies of simply supported square laminated composite plates for various modular ratios (E1/E2) are presented and compared with those obtained by SSNDT of Sayyad and Ghugal (2015), HSDT of Reddy (1984), FSDT of Mindlin (1951) and CPT of Kirchhoff (1850). In all the lamination schemes, the layers are of equal thickness.…”

“…According to Navier solution technique, the governing equations of the plate in case of free vibration analysis are obtained by discarding transverse load (q) and in-plane compressive forces ( 2 2 2 3 3 0 0 0 12 66 22 66 22 12 66 2 2 3 2 3 3 2 0 22 12 66 0 3 2 (Sayyad and Ghugal, 2015) 0.28060 0.31415 0.34181 0.36543 HSDT (Reddy, 1984) 0.27955 0.31284 0.34020 0.36348 FSDT (Mindlin, 1951) 0.27757 0.30824 0.33284 0.35353 CPT (Kirchhoff, 1850) 0.30968 0.35422 0.39335 0.42884 Exact (Noor, 1973) 0 (Sayyad and Ghugal, 2015) 0.32696 0.37037 0.39498 0.41176 HSDT (Reddy, 1984) 0.33095 0.38112 0.41094 0.43155 FSDT (Mindlin, 1951) 0.32739 0.37110 0.39540 0.41158 CPT (Kirchhoff, 1850) 0.42599 0.55793 0.66419 0.75565 Exact (Noor, 1973) 0 (Sayyad and Ghugal, 2015) 0.3319 0.3821 0.4119 0.4324 HSDT (Reddy, 1984) 0.3308 0.3810 0.4108 0.4314 FSDT (Mindlin, 1951) 0.3319 0.3826 0.4130 0.4341 CPT (Kirchhoff, 1850) 0.4260 0.5579 0.6642 0.7556 Exact (Noor, 1973) 0 (Sayyad and Ghugal, 2015) 0.3384 0.3950 0.4287 0.4518 HSDT (Reddy, 1984) 0.3399 0.3994 0.4350 0.4592 FSDT (Mindlin, 1951) 0.3368 0.3930 0.4271 0.4506 CPT (Kirchhoff, 1850) 0.4259 0.5579 0.6641 0.7556 Exact (Noor, 1973) 0.3408 0.3979 0.4314 0.4537 Table 4: Comparison of non-dimensional natural frequencies of simply supported square laminated composite plates (b = a, a/h = 5).…”

“…However, these theories are applied for bending, buckling and free vibration analysis of functionally graded plates only (Ameur, et al 2011;Thai and Vo, 2013;Meiche et al, 2011;Daouadji et al, 2012;Zenkour, 2013). Recently Sayyad and Ghugal (2015) have presented a critical review of literature on refined shear deformation theories for the free vibration analysis of laminated composite and sandwich plates. Wherein, theories involving four or more than four are reviewed and discussed.…”

Vibration analysis of an axially moving multiscale composite plate subjected to thermal loading

“…At the turn of the centuries composite materials began to appear particularly in the aerospace, maritime and space industries because they offer a number of advantageous mechanical properties., These properties include resistance to electrochemical corrosion, high strength and rigidity with less weight than conventional materials. The state of researches in the dynamics of laminated composite and sandwich plates in the paper [2] is presented.…”