Effects of experimental configuration on the detection threshold of hysteretic elastic nonlinearity

Idjimarene, Sonia; Bentahar, Mourad; Guerjouma, Rachid El; Scalerandi, Marco

doi:10.1016/j.ultras.2013.12.002

Cited by 6 publications

(6 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…and where v(t) denotes a corrupting term containing the additive noise and the parts of the examined signal that are not captured by the first term in (17). We may thus estimate the parameters detailing the examined mode using LS aŝ…”

Section: Proposed Methodsmentioning

confidence: 99%

“…Non-linear ultrasound spectroscopy (NRUS) techniques are based on the measurement of resonance frequencies at different amplitudes and have shown promising results for the detection of distributed damage in concrete [14,15,3,16]. These methods can sense a large volume of a micro-cracked sample and are not too sensitive to the position of the sensors [17]. In the single-mode resonance spectroscopy (SIMONRAS) technique, the output vibration amplitude is measured while sweeping over an interval comprising a resonance frequency.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Damage identification in concrete using impact non-linear reverberation spectroscopy

Dahlen

Rydén

Jakobsson

2015

NDT & E International

View full text Add to dashboard Cite

a b s t r a c tHigh amplitude non-linear acoustic methods have shown potential for the identification of micro damage in brittle materials such as concrete. Commonly, these methods evaluate a non-linearity parameter from the relative change in frequency and attenuation with strain amplitude. Here, a novel attenuation model is introduced to describe the free reverberation from a standard impact resonance frequency test, together with an algorithm for estimating the unknown model coefficients. The nonlinear variation can hereby by analyzed over a wider dynamic range as compared to conventional methods. The experimental measurement is simple and fully compatible with the standardized free-free linear impact frequency test.

show abstract

Section: Proposed Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Damage identification in concrete using impact non-linear reverberation spectroscopy

Dahlen

Rydén

Jakobsson

2015

NDT & E International

View full text Add to dashboard Cite

show abstract

“…In other words, if conditions and are satisfied, QPC allows discriminating between the structural nonlinearity that would be quadratic phase coupled and other experimental spurious sources such as ambient and equipment noise that, instead, might not be. Indeed, let us assume that the spectrum of the measured signal X ( ω ) is expressed as a superposition of the nonlinear structural response U ( ω ) and random contributions due to the effects of the experimental noise, η a ( ω ), and the electronic noise, η e ( ω ), :

X ((), ω) = U ((), ω) + η_{a} ((), ω) + η_{e} ((), ω) = U ((),,,, ω_{m}, ω_{n}, ϕ_{m}, ϕ_{n}) + k_{a} n_{a} ((),, ω_{q}, ϕ_{q}) + k_{e} n_{e} ((),, ω_{p}, ϕ_{p})

where n a ( ω q , ϕ q ) and n e ( ω p , ϕ p ) are random variables of constant amplitude k a and k e . Since generally the subscripts q , p ≠ m , n , both environmental and experimental noise do not allow for QPC.…”

Section: Theoretical Developmentmentioning

confidence: 99%

“…According to Landau's nonlinear classical theory and Eq. , the standard second order nonlinear parameter β can be obtained as a solution of the nonlinear elastodynamic wave equation via a first order perturbation theory as follows :

β ((), {boldr}_{m}) \propto \frac{\sqrt{P (ω_{2})}}{P ((), ω_{1})}

where P ( ω 2 ) is the magnitude of the power spectral density associated with the second harmonic frequency component and r m = x m î + y m ĵ is the position vector of the m (1 ≤ m ≤ M ) receivers located on top surface of the composite panel. The parameter β ( r m ) is herein introduced to quantify the second nonlinear elastic response of a structure subjected to harmonic excitation.…”

Section: Theoretical Developmentmentioning

confidence: 99%

Nonlinear imaging of damage in composite structures using sparse ultrasonic sensor arrays

Ciampa

Pickering

Scarselli

et al. 2016

Struct. Control Health Monit.

View full text Add to dashboard Cite

In different engineering fields, there is a strong demand for diagnostic methods able to provide detailed information on material defects. Low velocity impact damage can considerably degrade the integrity of structural components and, if not detected, can result in catastrophic failures. This paper presents a nonlinear structural health monitoring imaging method, based on nonlinear elastic wave spectroscopy, for the detection and localisation of nonlinear signatures on a damaged composite structure. The proposed technique relies on the bispectral analysis of ultrasonic waveforms originated by a harmonic excitation and it allows for the evaluation of second order material nonlinearities due to the presence of cracks and delaminations. This nonlinear imaging technique was combined with a radial basis function approach in order to achieve an effective visualisation of the damage over the panel using only a limited number of acquisition points. The robustness of bispectral analysis was experimentally demonstrated on a damaged carbon fibre reinforced plastic (CFRP) composite panel, and the nonlinear source's location was obtained with a high level of accuracy. Unlike other ultrasonic imaging methods for damage detection, this methodology does not require any baseline with the undamaged structure for the evaluation of the defect, nor a priori knowledge of the mechanical properties of the specimen.

show abstract

“…This field has not been considered by the researchers yet and it is a very important subject. As an example, Idjimarene et al [31] state that the nonlinear indicator is dependent on the position of the receiver, and it is sensitive to the level of noise. The main contribution of this paper states a semi-analytical approach to eliminate the dependence of experimental settings on β measurements.…”

Section: Introductionmentioning

confidence: 99%

Experimental Configuration to Determine the Nonlinear Parameter β in PMMA and CFRP with the Finite Amplitude Method

Callejas

Rus

2019

Sensors

View full text Add to dashboard Cite

Parameters to measure nonlinearity in polymethylmethacrylate (PMMA) and carbon fiber reinforced polymer (CFRP) materials have been determined with nonlinear ultrasound (NLUS). The nonlinear parameter β has been determined using the variation of the Finite Amplitude Method (FAM) with harmonic generation. Using this as a reference, the first contribution of this work consists of deducting the experimental configuration necessary to measure this nonlinear parameter in a correct and feasible way. Excitation level, frequency of the wave generated, number of cycles analysed and the distances transducer-specimen and specimen-hydrophone have been determined in both materials. The second contribution is a semi-analytical model that allows to obtain the nonlinear parameter in materials by removing water contribution and considering geometric and viscous attenuation, using the data obtained in an immersion tank. Finally, an application of this model has been carried out in PMMA in order to determinate the nonlinear parameter in this material. From the results, we confirm that the configuration determined in this paper to obtain the parameter β decreases the noise in the measurements.

show abstract

Effects of experimental configuration on the detection threshold of hysteretic elastic nonlinearity

Cited by 6 publications

References 18 publications

Damage identification in concrete using impact non-linear reverberation spectroscopy

Damage identification in concrete using impact non-linear reverberation spectroscopy

Nonlinear imaging of damage in composite structures using sparse ultrasonic sensor arrays

Experimental Configuration to Determine the Nonlinear Parameter β in PMMA and CFRP with the Finite Amplitude Method

Contact Info

Product

Resources

About