Free vibration of isotropic, orthotropic, and multilayer plates based on higher order refined theories

By T. Kant, K. Swaminathan. 2001

151 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Control and Systems Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/7bef87ecb644a43d4b487f32d68f8313be36c5f9

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In Civil and Structural Engineering

In Control and Systems Engineering

In Mechanics of Materials

Citations in the corpus

On the free vibration analysis of laminated composite and sandwich plates: A review of recent literature with some numerical results (2015, methodology): “Kant and Swaminathan [136,137], Swaminathan and Patil [138,139], Rao and Desai [140], Rao et al.”
A critical review of recent research on functionally graded plates (2013, background): “2D approximate plate theories by various researchers [24–31].”
Analytical solutions for vibrations of laminated and sandwich plates using mixed theory (2004, methodology): “1016/S0263-8223(03)00185-5 On the other hand, displacement based equivalent single layer (ESL) theories [5–10] do not account for continuity of the transverse stress components.”
∞6 Mixed plate theories based on the Generalized Unified Formulation. Part I: Governing equations (2009, methodology): “Higher order shear deformation theories (HSDT) have also been used [12–15], giving the possibility to increase the accuracy of numerical evaluations for moderately thick plates.”
Isogeometric analysis of laminated composite and sandwich plates using a new inverse trigonometric shear deformation theory (2014, background): “As expected, the present method is in good agreement with the analytical solution based on HSDT [65] (12 DOFs/node) and is also more accuracy than that of HSDT [65] (5 DOFs/node).”
Plane wave solutions and modal analysis in higher order shear and normal deformable plate theories (2002, background): “Chao et al. [4] and Kant and Swaminathan [18] have not compared stresses computed from the plate theories with those obtained from the solution of the three-dimensional elasticity equations.”
∞6 Mixed plate theories based on the Generalized Unified Formulation. Part III: Advanced mixed high order shear deformation theories (2009, background): “In such case we have the higher order shear deformation theories (HSDT) (see [8–11]).”
Isogeometric finite element analysis of composite sandwich plates using a higher order shear deformation theory (2013, background): “More recently, several closed solution forms based on the HSDT for static [12], free vibration [13, 14] and buckling [15] analysis of composite sandwich plates have been found.”
A generalized global-local high-order theory for bending and vibration analyses of sandwich plates subjected to thermo-mechanical loads (2010, methodology): “Results predicted by equivalent single layer theories (ESL) (displacement-based or mixed models) published by Kant and Swaminathan [8] based on theories of Whitney and Pagano [79], Kant and Manjunatha [80], Pandya and Kant [81], and Senthilnathan et al. [82], third-order shear deformation theory of ”