Interaction of the lateral buckling strength with the axial load for FG micro-sized I-section beam–columns

Modeling frequency shifts in small-scale beams with multiple eccentric masses

“…A weighting kernel function is required to control the intensity of nonlocality in a given problem. This idea was introduced by Eringen [25] and has since been used by many others to study the size-dependent response of structures with micro-and nanoscale dimensions, e.g., [26][27][28][29]. The Eringen nonlocal theory is also known as the strain-driven nonlocal theory since the stress at a given point is defined as an integral convolution of the strains at all points of the body and a kernel function.…”

Vibration and buckling optimization of functionally graded porous microplates using BCMO-ANN algorithm

“…To overcome this problem, the material size-dependent theory has been proposed to predict static and dynamic behaviors of nano-and micro-structures using different approaches. The nonlocal elasticity theory initiated by Eringen [2] can be used to capture the size effects of nanostructures, and has been used for analyzing functionally graded nanoplates [3][4][5][6][7], nano shells [8] and nanobeams [9][10][11][12][13][14]. Nevertheless, the implementation of this theory for microplates with different boundary conditions appears to be quite complicated.…”

Flexural analysis of I-section beams functionally graded materials

“…Phi et al [15] presented a free vibration study of a thin-walled beams using functionally graded materials along the contour direction. Recently, Soltani et al [16] conducted an evaluation to examine the influence of axial preload on the lateral stability capacity of I-beam-column elements, taking into account size-dependent characteristics and variable material properties along the axial direction under lateral loads. Kim and Lee [17] investigated the bending-torsional behavior of shear-flexible thin-walled sandwich I-beams constructed from functionally graded materials.…”