Ritz method runs into difficulties when dealing with complex geometry domain due to the
difficulty of constructing a global trial function to approximate structural deformation and the …

The Nitsche based non-uniform rational B-splines (NURBS) isogeometric analysis (IGA)
method is employed to study the free vibration of stiffened plate with holes. The plate with …

This paper proposes a unified approach to study the free vibration of elastically restrained
plate with holes. The hole is treated as a virtual plate in which the mass density and the …

A meshless method based on the first-order shear deformation (FSDT) theory and moving
least-squares (MLS) approximation for bending and free vibration analyses of the ribbed …

A Chebyshev–Lagrangian method is proposed to handle the flexural and in-plane vibrations
of plate with cutout under general boundary conditions. By setting groups of boundary …

In this paper, an exact model for free vibration analysis of arbitrarily shaped plates with
various cutouts under general elastic boundary conditions is established. It combines the …

This article deals with investigating the effect of cut-outs on the natural frequencies of
magneto-electro-elastic (MEE) plates incorporating finite element methods based on higher …

This research paper deals with a numerical method which is modified and applied, by the
authors to derive an eigenvalue of a thick plate having cut‐out in which geometries of plate …

Vibroacoustics of plates with arbitrary holes is a common problem in engineering and it is
essential to develop a fast and efficient model to calculate the relevant parameters of the …

This paper presents a new semi-analytical method for modeling rectangular plates with
variable thickness and cutouts. The plate thickness is represented as a finite sum of …