The size effects that reveal the dramatic changes of mechanical behaviour at nanoscales have traditionally been analysed for regular beam systems. Here, the method of using finite-element analysis is explored with the intention of evaluating the size effects for complex nanostructures. The surface elasticity theory and generalized Young-Laplace equation are integrated into a beam element to acc...

Based on generalized laminate plate theory, the formulation of a one-dimensional beam finite element with layer-wise constant shear (BLCS) is presented. The linear layer-wise representation of in-plane displacements permit accurate computation of normal stresses and transverse shear stresses on each layer for laminated beams with dissimilar ply stiffnesses. The BLCS formulation is equivalent to...

Perforated plates are widely used in thin-walled engineering structures, for example, lightweight designs of structures and access installation. For the purpose analysis, such perforated with two opposite free edges might be considered as a series successive Timoshenko beams. A new semi-analytical model was developed this study using shear beam theory critical buckling load plates, characterist...

This article presents a new beam model that employs recursive derivation procedure enables the user to set order of governing differential equations as an input parameter, without need for ad hoc assumptions or methodologies. novel system kinematic variables, section constants, and functions facilitate development higher-order models retain clear philosophical link classical such Euler–Bernoull...

A functionally graded material beam with generalized boundary conditions is contemplated in the present study in order to examine the deformation and stress behavior under thermal and thermo-mechanical load. Three discrete combinations of functionally graded materials have been deliberate in including a wide range of materials and material properties. The variation of material properties has be...

In this paper, bending analysis of concentric and eccentric beam stiffened square and rectangular plate using the meshless collocation method has been investigated. For detecting the governing equations of plate and beams, Mindlin plate theory and Timoshenko beam theory have been used, respectively, with the stiffness matrices of the plate and the beams obtained separately. The stiffness matric...

This paper deals with the interaction between a moving wheelset and a slab track due to the shortpitch corrugated rail. The wheelset is modeled using a free-free Timoshenko beam with attached rigid bodies as the axle boxes, wheels and brake discs. The slab track model consists of elastically supported double EulerBernoulli beams. In fact, both wheelset and slab track are symmetric structures an...