Harmonic analysis of the vibrations of a cantilevered beam with a closing crack

The non-linear dynamic response of the Euler–Bernoulli beam with an arbitrary number of switching cracks

“…Similar results were obtained by Ruotolo et al [7] by performing numerical integration of the equation of motion and using a finite element model of the beam.…”

“…In the last decades several authors devoted considerable interest in developing suitable models able There are different approaches for crack modelling in beam structures reported in the literature; a great part of the considered approaches can be attributed to one of the following categories: spring models or elastic hinges [1][2][3], local stiffness reduction [4], and finite element models [5][6][7].…”

“…In the studies investigating the non linear behaviour the presence of a single crack is usually considered [5,7,[17][18][19][20][21][22][23][24][25], while multiple cracks have been analysed under an harmonic excitation only [26] and by means of a finite element approach. A short comprehensive review of these studies can be found in references [19,26].…”

The effect of damping and force application point on the non-linear dynamic behavior of a cracked beam at sub-and superresonance vibrations

“…The presented mathematical model o f the cantilever beam with an edge transverse closing crack is based on the finite element model proposed in [5]. When the crack is closed and its interfaces are completely in contact with each other, the dynamic response can be determined directly as that one o f the intact beam.…”

“…Numerical investigations of forced vibrations o f beams with a closing crack [4][5][6][7] have demonstrated that the main distinctive features of such a vibration system are the manifestation of effects associated with non-linearity, namely the presence of sub-and superharmonic resonances and significant non-linearity of the vibration responses (displacement, acceleration, * Report on International Conference "Dynamics, Strength, and Life of Machines and Structures" (1-4 November 2006, Kiev, Ukraine). strain) at sub-and super-resonances.…”