The Effects of Closure of Cracks on the Dynamics of a Cracked Cantilever Beam

Vibration Analysis of Cracked Beams Using the Finite Element Method

“…In particular, for j = c the beam is cracked, while for j = n the beam is non-cracked. It is derived from Table 2, that the results of the present study are generally close to the results of references [23] and [24]. It is noteworthy that the study of reference [23] has applied for a Timoshenko beam.…”

“…It is noteworthy that the study of reference [23] has applied for a Timoshenko beam. Furthermore, the results from the work in [24] correspond to an internal crack of the same severity with the studied crack case. The internal crack constitutes a good approximation of a fully closed crack.…”

Free Vibration Analysis of an Un-cracked & Cracked Fixed Beam

“…The model assumes that the displacement field is a superposition of the classical EulerBernoulli beam's displacement and of a displacement due to the crack. Shifrin [16] presented a new technique is proposed for calculating natural frequencies of a vibrating beam with an arbitrary finite number of transverse open cracks. Most of the researchers studied the effect of single crack on the dynamics of the structure.…”

Stability of Elastically Restrained Valve-Pipe System With Crack

“…Kang [6] investigated the effect of rotary inertia of concentrated masses on the instability of a pipe conveying fluid. Recently, reviews on vibration of cracked structures were reported by Wauer [7] and Dimarogonas [8], and many researchers investigated the dynamic stability of a pipe conveying fluid with crack [9][10][11]. However, other researches did not study about the coupling effects of an attached mass, fluid flow, spring support and crack for stability analysis of pipe system.…”