Detection of crankshaft faults by means of a modified Welch-Bartlett periodogram

Carrera-Avendaño, E.; Urquiza, G.; Trutié-Carrero, Eduardo; Nieto-Jalil, José M.; Carrillo-Pereyra, C.; Seuret-Jiménez, D.

doi:10.1016/j.engfailanal.2021.105938

Cited by 8 publications

(6 citation statements)

References 36 publications

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“…Furthermore, the fifth contribution demonstrates the existence of the inverse T e transform, and lastly, the sixth contribution provides a uniqueness theorem for the T e transform. The theoretical results presented in this paper were validated by the authors of the works shown in [1][2][3][4].…”

Section: Introductionmentioning

confidence: 52%

“…The problem of function recovery ( f (t), ∀ t ∈ R) is very important in the field of applied mathematics [5][6][7]. In [2], the authors introduce the T e transform, see Equation (1), as a dependent map of three parameters. This transform has as its main advantages the attenuation of the cross-terms and the isolation of the frequency components [2], which are achieved through the dyadic frequency spectrum.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

The Te Transform: A High-Resolution Integral Transform and Its Key Properties

Trutié-Carrero,

Seuret-Jiménez,

Nieto-Jalil

et al. 2023

Mathematics

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In this paper, we present six new contributions: two novel definitions and four groundbreaking theorems related to the theoretical foundations of the integral Te transform, with a specific focus on analyzing functions with integrable modulus. The definitions referred to the Te window and the Te transform in two parameters, respectively. The theorems provide the main theoretical basis for the Te transform: the existence of the Te transform in two parameters, the Te transform ∈L1(R), the existence of the inverse Te transform, and uniqueness of the Te transform. These results reveal the importance of the fact that the Te transform only depends on two parameters (translation and dyadic frequency), obtaining its inverse transformation more directly; hence, breaking through a new approach in function analysis by representing a function in the scale-frequency plane. The theoretical results presented in this paper are supported by the previous works of the authors.

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Section: Introductionmentioning

confidence: 52%

Section: Introductionmentioning

confidence: 99%

The Te Transform: A High-Resolution Integral Transform and Its Key Properties

Trutié-Carrero,

Seuret-Jiménez,

Nieto-Jalil

et al. 2023

Mathematics

Self Cite

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“…In the signal processing with the T e -gram, the authors utilized a Daubechies 45 wavelet function (ψ µ,ξ (t)). The reason for choosing this particular wavelet function is its ability to provide an attenuation close to 150 dB for the rejection band, as reported in [47]. Additionally, a Kaiser-6 window (w µ (t)) was employed [4].…”

Section: Validation Of the 𝓣 𝒆 -Grammentioning

confidence: 99%

Feature Extraction of a Non-Stationary Seismic–Acoustic Signal Using a High-Resolution Dyadic Spectrogram

Seuret-Jiménez,

Trutié-Carrero,

Nieto-Jalil

et al. 2023

Sensors

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Using a novel mathematical tool called the Te-gram, researchers analyzed the energy distribution of frequency components in the scale–frequency plane. Through this analysis, a frequency band of approximately 12 Hz is identified, which can be isolated without distorting its constituent frequencies. This band, along with others, remained inseparable through conventional time–frequency analysis methods. The Te-gram successfully addresses this knowledge gap, providing multi-sensitivity in the frequency domain and effectively attenuating cross-term energy. The Daubechies 45 wavelet function was employed due to its exceptional 150 dB attenuation in the rejection band. The validation process encompassed three stages: pre-, during-, and post-seismic activity. The utilized signal corresponds to the 19 September 2017 earthquake, occurring between the states of Morelos and Puebla, Mexico. The results showcased the impressive ability of the Te-gram to surpass expectations in terms of sensitivity and energy distribution within the frequency domain. The Te-gram outperformed the procedures documented in the existing literature. On the other hand, the results show a frequency band between 0.7 Hz and 1.75 Hz, which is named the planet Earth noise.

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“…The crankshaft is an important part of the internal combustion engine, which has worked under high-temperature environments for a long time. It will produce alternate bending and torsion stress under the periodic action of dynamic load [3] . Whether the crankshaft is reliable directly determines whether the internal combustion engine can normally work [4] .…”

Section: Introductionmentioning

confidence: 99%

Crankshaft Stress Telemetry Device and Its Low Power Strategy

Guo

Wang

Zhang

et al. 2023

J. Phys.: Conf. Ser.

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In view of the fact that the crankshaft of an internal combustion engine lacks the support of measured stress data due to the closed working environment, a real-time stress test device for crankshaft and its low power strategy were studied. An embedded telemetry technology is used to solve the system miniaturization and low-power strategy. The integrated circuit chip is used to realize the miniaturization design, and a specialized power management scheme is designed to realize the low-power strategy. The actual test shows that the device can run continuously and stably under the environment of high temperature and oil pollution inside the crankcase and can record the stress curve of the crankshaft and transmit it to the remote computer in real time, which realizes the data visualization on the computer. The designed low-power strategy can help the device complete a single test period, and the device has higher promotion value and practical significance.

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Detection of crankshaft faults by means of a modified Welch-Bartlett periodogram

Cited by 8 publications

References 36 publications

The Te Transform: A High-Resolution Integral Transform and Its Key Properties

The Te Transform: A High-Resolution Integral Transform and Its Key Properties

Feature Extraction of a Non-Stationary Seismic–Acoustic Signal Using a High-Resolution Dyadic Spectrogram

Crankshaft Stress Telemetry Device and Its Low Power Strategy

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