It is quite usual to encounter a beam with different types of cross section or even structuraldiscontinuities such as a crack along its length. Furthermore, in many occasions such a beam mayhappen to be exposed to the oscillatory fluctuations. Therefore, any information about its naturalfrequencies may be worthwhile. Amongst the problems of discontinues beam analysis, in this paper aspecial kin...

A finite element model based on the layerwise theory is developed for the analysis of transverse cracking in cross-ply laminated beams. The numerical model is developed using the layerwise theory of Reddy, and the von Kármán type nonlinear strain field is adopted to accommodate the moderately large rotations of the beam. The finite element beam model is verified by comparing the present numeric...

During the past few decades, a significant amount of research has been conducted in the area of non-destructive damage evaluation (NDE) based on changes in dynamic properties of a structure. System Identification and damage detection plays a crucial role in structural dynamics and vibro-acoustic system optimization. The later approach is based on the ‘Modal Analysis” The dynamic behaviors of th...

In the present work the pull-in voltage of a micro cracked cantilever beam subjected to nonlinear electrostatic pressure was studied. Two mathematical models were employed for modeling the problem: a lumped mass model and a classical beam model. The effect of crack in the lumped mass model is the reduction of the effective stiffness of the beam and in the beam model; the crack is modeled as a m...

In this paper, a simple cracked beam under vertical pressure is considered. Stress intensity factor, normal, and shear stresses (at the tip of the crack) are calculated with finite element software. Results are compared when there is contact between crack surfaces with different direction of pressure, and when there is no contact. Results show that stress intensity factors can be implemented fo...

In this study, the simulation of simple bending problem is performed using an example of cantilever beam which is an important structural member. The author executed numerical simulations for simple and cracked cantilever beams using finite element stiffness method, analytical beam theory, finite element package (ANSYS) and then verified results with code generated in C++ language. In conclusio...