This paper is a review of the most influential approaches to developing beam models that
have been proposed over the last few decades. Essentially, primary attention has been paid …

Abstract Carrera Unified Formulation (CUF) is used to perform free-vibrational analyses of
rotating structures. CUF is a hierarchical formulation which offers a procedure to obtain …

In this paper, a unified formulation which is based on a general refined shear deformation
beam theory is presented to conduct free vibration analysis of composite laminated beams …

The present paper shows a comparison between classical two-dimensional (2D) and three-
dimensional (3D) finite elements (FEs), classical and refined 2D generalized differential …

This paper presents a family of beam higher-orders finite elements based on a hierarchical
one-dimensional unified formulation for a free vibration analysis of three-dimensional …

This paper establishes an analysis model to study the vibration behavior of a cracked
laminated composite beam with uniform rectangular cross-section based on the Jacobi-Ritz …

This paper proposes one-dimensional layer-wise theories that make use of higher-order zig-
zag functions defined over fictitious/mathematical layers of the cross-sectional area. These …

A new tractable formulation of a zig-zag beam theory is developed. The zig-zag theory is
presented in an elegant way, which makes it easy to follow and understand and can readily …

The present work addresses a closed-form solution for the free vibration analysis of simply
supported composite laminated beams via a refined one-dimensional (1D) model, which …

Free vibration characteristics and buckling behaviors of generally laminated composite
beams subjected to the concentrated axial force and various classical end conditions are …