The Adomian decomposition method (ADM) and high-pass filters are employed in this study to investigate the free vibrations and damage detection of cracked Euler-Bernoulli beams. Based on the ADM and employing some simple mathematical operations, the closed-form series solution of the mode shapes can be determined for beams consisting of an arbitrary number of cracks under general boundary condi...

cracked and un-cracked brazilian disc specimens subjected to diametral compression were used for conducting fracture toughness and tensile strength experiments on a polymer concrete (pc) material. the value of mode i fracture toughness (kic) was determined from the center- cracked brazilian disc and the indirect tensile strength (σt) was obtained from the un-cracked brazilian disc specimen. the...

In this article, we analyze the effect of transverse cracks on natural frequencies a Euler-Bernoulli functional gradient beam. The studied beam was discretized into finite elements and global matrices motion equation are determined by applying Lagrange to kinetic deformation energies. material properties considered vary in directions thickness, gradation is described power-law distribution, sti...

A constitutive model based on two–dimensional unstructured Galerkin finite volume method (GFVM) is introduced and applied for analyzing nonlinear behavior of cracked concrete structures in equilibrium condition. The developed iterative solver treats concrete as an orthotropic nonlinear material and considers the softening and hardening behavior of concrete under compression and tension by using...

In this paper, we use the hybrid h-p version of the finite element method to study the effect of an open transverse crack on the vibratory behavior of rotors, the one-dimensional finite element Euler-Bernoulli beam is used for modeling the rotor, the shape functions used are the Hermite cubic functions coupled to the special Legendre polynomials of Rodrigues. The global matrices of the equation...