Identification of defects in structures and its components is a crucial aspect in decision
making about their repair and total replacement. Failure to detect the faults has various …

Nonlinear vibration of beams made of functionally graded materials (FGMs) containing an
open edge crack is studied in this paper based on Timoshenko beam theory and von …

This research reports on Three Dimensional (3D) exact free torsional-bending vibrations
and buckling of Timoshenko beams possessing homogeneous and nonhomogeneous …

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 …

Inspection of structural components for damage is essential to decision-making for the
maintenance of such structures. There have been many studies to assess the reinforced …

This paper presents the energy-based method for the vibration identification of non-uniform
Euler–Bernoulli beams having multiple open cracks. The method includes significant …

Cracking is a common form of damage in reinforced-concrete (RC) beams. Cracks affect the
frequency and deflection of RC beams. Although a model for the natural frequencies of RC …

This paper establishes a cracked Timoshenko beams model to investigate the vibration
behavior based on the ultraspherical polynomials. Timoshenko beam theory is applied to …

In this study, the effects of cracks on the natural frequencies of a rotating Bernoulli–Euler
beam are investigated using a new numerical method in which these effects can be …

This paper presents free vibration analysis of an edge cracked functionally graded cantilever
beam. The differential equations of motion are obtained by using Hamilton's principle. The …