A method for an accurate estimation of natural frequencies using swept-sine acoustic excitation

Mituletu, Ion-Cornel; Gillich, Gilbert-Rainer; Maia, N. M. M.

doi:10.1016/j.ymssp.2018.07.018

Cited by 37 publications

(16 citation statements)

References 20 publications

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“…Thus, certain vibration modes are hardly to excite and also for other ones not enough amplitude can be accomplished. Another disadvantage is the low excitation level that has to be maintained to avoid the non-linearity of the system [15].…”

Section: Methodsmentioning

confidence: 99%

“…The proposed excitation method implies a sine acoustic waves that interfere with the beam surface in an antinode area. The time and the amplitude of excitation are tuned so that to not produce non-linearity or the perturbation of the natural vibration mode [15].…”

Section: Methodsmentioning

confidence: 99%

“…Besides the past methods, earlier presented [15], implying the acoustic excitation, here another concept is developed and described. It was observed that rather than time position relative to the maximum or minimum of the acquired signal amplitude, from that the signal is prelevated for analysis, the amplitude value from that the analysis starts is more important, in order to achieve more real values for the natural frequencies.…”

Section: Methodsmentioning

confidence: 99%

See 2 more Smart Citations

A procedure for an accurate estimation of the natural frequencies of structures

Gillich¹,

Mituletu²,

Nedelcu³

et al. 2018

Vib. proced.

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The paper presents a procedure to precisely estimate the natural frequencies of structures. It implies the acoustic excitation of the structure and the evaluation of the frequencies from the response signals, involving an advanced method developed by the authors. The study is performed on a cantilever beam. To demonstrate the efficiency of the contrived procedure, the values of the frequencies by applying this procedure are compared whit those obtained by standard frequency estimation made for the response to an impulsive excitation.

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Section: Methodsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

See 1 more Smart Citation

A procedure for an accurate estimation of the natural frequencies of structures

Gillich¹,

Mituletu²,

Nedelcu³

et al. 2018

Vib. proced.

Self Cite

View full text Add to dashboard Cite

show abstract

“…Frequency estimation is one of the most important tasks in many areas that are related to signal and information processing, especially in electrical engineering, mechanical engineering, and environmental studies [1] , [2] , [3] , [4] . For environmental study, frequency estimation is a crucial step that must be done with accurate estimating results, and then these results are used to obtain the environmental parameters for inversion problem.…”

Section: Introductionmentioning

confidence: 99%

A novel adaptive resampling for sequential Bayesian filtering to improve frequency estimation of time-varying signals

Aunsri

Pipatphol

Thikeaw

et al. 2021

Heliyon

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This paper presents a new algorithm for adaptive resampling, called percentile-based resampling (PBR) in a sequential Bayesian filtering, i.e., particle filter (PF) in particular, to improve tracking quality of the frequency trajectories under noisy environments. Since the conventional resampling scheme used in the PF suffers from computational burden, resulting in less efficiency in terms of computation time and complexity as well as the real time applications of the PF. The strategy to remedy this issue is proposed in this work. After state updating, important high particle weights are used to formulate the pre-set percentile in each sequential iteration to create a new set of high quality particles for the next filtering stage. The number of particles after PBR remains the same as the original. To verify the effectiveness of the proposed method, we first evaluated the performance of the method via numerical examples to a complex and highly nonlinear benchmark system. Then, the proposed method was implemented for frequency estimation for two time-varying signals. From the experimental results, via three measurement metrics, our approach delivered better performance than the others. Frequency estimates obtained by our method were excellent as compared to the conventional resampling method when number of particles were identical. In addition, the computation time of the proposed work was faster than those recent adaptive resampling schemes in literature, emphasizing the superior performance to the existing ones.

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“…But, for small-sized damages, the capability of observing slight frequency changes is essential. Therefore, advanced signal processing is necessary when eigenfrequencies are used to detect damage [4,5].…”

Section: Introductionmentioning

confidence: 99%

Damage Detection on a Beam with Multiple Cracks: A Simplified Method Based on Relative Frequency Shifts

Gillich¹,

Maia²,

Wahab³

et al. 2021

Preprint

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Identifying cracks in the incipient state is essential to prevent the failure of engineering structures. Detection methods relying on the analysis of the changes in modal parameters are widely used because of the advantages they present. In our previous research, we have found that eigenfrequencies were capable of indicating the position and depth of damage when sufficient vibration modes were considered. The damage indicator we developed was based on the relative frequency shifts (RFS). To calculate the RFSs for various positions and depths of a crack, we established a mathematical relation that involved the squared modal curvatures in the healthy state and the deflection of the healthy and damaged beam under dead mass, respectively. In this study, we propose to calculate the RFS for beams with several cracks by applying the superposition principle. We demonstrate that this is possible if the cracks are far enough from each other. In fact, if the cracks are close to each other, the superposition method does not work and we distinguish two cases: (i) when the cracks affect the same beam face, the frequency drop is less than the sum of the individual frequency drops, and (ii) on the contrary, cracks on opposite sides cause a decrease in frequency, which is greater than the sum of the frequency drop due to individual damage. When the RFS curves are known, crack assessment becomes an optimization problem, the cost function being the distance between the measured RFSs and all possible RFSs for several vibration modes. Thus, the RFS constitutes a benchmark that characterizes damage using only the eigenfrequencies. We can accurately locate multiple cracks and estimate their severity trough experiments and thus prove the reliability of the proposed method.

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A method for an accurate estimation of natural frequencies using swept-sine acoustic excitation

Cited by 37 publications

References 20 publications

A procedure for an accurate estimation of the natural frequencies of structures

A procedure for an accurate estimation of the natural frequencies of structures

A novel adaptive resampling for sequential Bayesian filtering to improve frequency estimation of time-varying signals

Damage Detection on a Beam with Multiple Cracks: A Simplified Method Based on Relative Frequency Shifts

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