This research reviewed the functionally graded (FG) structures exposed to mechanical/
thermomechanical loading, including the porosity effect. The review focuses on the …

In numerous real-world applications, transverse vibrations of beams are nonlinear in nature.
It is a task to solve nonlinear beam systems due to their substantial dependence on the 4 …

In this paper, the bending, buckling, and vibration behaviors of bi-directional functionally
graded (BDFG) nonuniform micro/nanobeams are investigated. A new Euler–Bernoulli …

This manuscript develops for the first time a mathematical formulation of the dynamical
behavior of bi-directional functionally graded porous plates (BDFGPP) resting on a Winkler …

This research aims to analyze the imperfection sensitivity in the nonlinear resonance
behavior of bi-directional functionally graded (BDFG) porous beam. The trigonometric and …

This work addresses the vibration characteristics of imperfect bi-directional functionally
graded (BDFG) beams with arbitrary boundary conditions. Two kinds of geometrical …

In this paper, the nonlinear vibration and buckling of bi-directional functionally graded (2D-
FG) beam subjected to thermal loading are examined via the higher-order shear deformable …

This paper aims to develop He's new frequency-amplitude formulation as a simple and fast
method for estimating the frequency of nonlinear oscillators in science and engineering …

This article presents a different polynomial interpolation function based dynamic finite
element model to study and analyze the mechanical behavior of bidirectional functionally …

The non-linear differential equation governing some mechanical systems, such as the non-
linear vibrations of FG beams resting on a nonlinear foundation, behaves similarly to the …