This paper presents a review of typical analytical solution methods for the eigenvalue
problems of rectangular plates. Apart from the exact Levy and Navier methods, this paper …

This paper presents an investigation on the buckling characteristics of nanoscale
rectangular plates under bi-axial compression considering non-uniformity in the thickness …

This study presents a thorough review of the applications of the Kantorovich method to
several plate problems. The main objective of this review is to compile an up-to-date list of …

This paper investigates the complex nonlinear vibrations and internal resonance of the
rotating blade subjected to the aerodynamic force, which is simplified to a pretwisted rotating …

This work presents the highly accurate numerical calculation of the natural frequencies and
buckling loads for thick elastic rectangular plates with various combinations of boundary …

Analytical solutions for bending, buckling, and vibration analyses of thick rectangular plates
with various boundary conditions are presented using two variable refined plate theory. The …

A novel four-node quadrilateral element with eleven degrees of freedom per node is
approximated using the C1-order non-conforming Hermite and Lagrange functions and the …

This paper presents a bridging research between a modeling methodology in quantum
mechanics/relativity and elasticity. Using the symplectic method commonly applied in …

The paper aims to extend the ES-MITC3 element, which is an integration of the edge-based
smoothed finite element method (ES-FEM) with the mixed interpolation of tensorial …

This paper combines third-order shear deformation theory (TSDT) and modified couple
stress theory (MCST) with the principle of total potential energy to analyze the size …