Evaluation of the Non-Linear Dynamic Response to Harmonic Excitation of a Beam With Several Breathing Cracks

Nonlinear dynamic response of beam and its application in nanomechanical resonator

“…(18) is assumed constant. Defect like crack inside the resonator during the vibration may experience the "breathing" motion, i.e., the crack opens and closes [46,47]. The "breathing" crack will cause the change of bending stiffness and thus the dynamic response of the system is affected.…”

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

“…Later, Pugno et al [26] under the assumption of periodic response and adopting the harmonic balance method treated the case of several cracks by introducing a smooth crack closure according to [28].…”

“…Some numerical applications are presented with the aim to illustrate efficiency of the proposed approach for beams with multiple switching cracks under different boundary and loading conditions. In order to compare the proposed approach with other accurate results reported in the literature, the harmonic responses of two-cracked cantilever steel beams reported by Pugno et al in [26] have been considered. Furthermore, the presented procedure has been applied to evaluate several free vibration responses.…”

“…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].…”

A Novel Ultrasonic Technique to Detect Damage Evolution in Quasi-Brittle Materials

“…Nowadays they play a major role in the complex process of diagnosis and monitoring of materials and structures and their use is regulated by several national and international standards, each one controlling specific applications of these techniques. More recently, the development of sophisticated theoretical models concerning the non-linear behavior of quasi-brittle materials such as concrete or rocks [1][2][3][4], and the initiation of powerful signal processing techniques [5][6][7][8][9], encouraged a novel way to approach ultrasonic techniques: the analysis of ultrasonic signals in the frequency domain. Accordingly, some Authors have proposed the spectral analysis of ultrasonic waves as a possible tool to characterize concrete behavior [1][2]10].…”