A Hybrid Finite Element Method–Analytical Model for Classifying the Effects of Cracks on Gear Train Systems Using Artificial Neural Networks
Rotating machinery is fundamental in industry, gearboxes especially. However, failures may occur in their transmission components due to regular usage over long periods of time, even when operations are not intense. To avoid such failures, Structural Health Monitoring (SHM) techniques for damage pre...
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MDPI AG
2022-08-01
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Online Access: | https://www.mdpi.com/2076-3417/12/15/7814 |
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author | Ronant de Paula Monteiro Amanda Lucatto Marra Renato Vidoni Claudio Garcia Franco Concli |
author_facet | Ronant de Paula Monteiro Amanda Lucatto Marra Renato Vidoni Claudio Garcia Franco Concli |
author_sort | Ronant de Paula Monteiro |
collection | DOAJ |
description | Rotating machinery is fundamental in industry, gearboxes especially. However, failures may occur in their transmission components due to regular usage over long periods of time, even when operations are not intense. To avoid such failures, Structural Health Monitoring (SHM) techniques for damage prediction and in-advance detection can be applied. In this regard, correlations between measured signal variations and damage can be inspected using Artificial Intelligence (AI), which demands large numbers of data for training. Since obtaining signal samples of damaged components experimentally is currently unviable for complex systems due to destructive test costs, model-based numerical approaches are to be explored to solve this problem. To address this issue, this work applied an innovative hybrid Finite Element Method (FEM)–analytical approach, reducing computational effort and increasing performance with respect to traditional FEM. With this methodology, a system can be simulated with accuracy and without geometrical simplifications for healthy and damaged cases. Indeed, considering different positions and dimensions of damages (e.g., cracks) on the tooth roots of gears can offer new ways of damage investigation. As a reference to validate healthy systems and damage cases in terms of eigenfrequencies, a back-to-back test rig was used. Numerical simulations were performed for different cases, resulting in vibrational spectra for systems with no damage, with damage, and with damage of different intensities. The vibration spectra were used as data to train an Artificial Neural Network (ANN) to predict the machine state by Condition Monitoring (CM) and Fault Diagnosis (FD). For predicting the health and the intensity of damage to a system, classification and multi-class classification methods were implemented, respectively. Both sets of classification results presented good prediction agreement. |
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issn | 2076-3417 |
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last_indexed | 2024-03-09T05:34:39Z |
publishDate | 2022-08-01 |
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spelling | doaj.art-9a8e47e0c04d410ebb520e7da2da5e6e2023-12-03T12:29:32ZengMDPI AGApplied Sciences2076-34172022-08-011215781410.3390/app12157814A Hybrid Finite Element Method–Analytical Model for Classifying the Effects of Cracks on Gear Train Systems Using Artificial Neural NetworksRonant de Paula Monteiro0Amanda Lucatto Marra1Renato Vidoni2Claudio Garcia3Franco Concli4Faculty of Science and Technology, Free University of Bolzano-Bozen, Piazza Università 1, 39100 Bolzano, ItalyDepartment of Telecommunications and Control Engineering, Polytechnic School of the University of São Paulo, Avenida Professor Luciano Gualberto, Travessa do Politécnico 158, São Paulo 05508-900, BrazilFaculty of Science and Technology, Free University of Bolzano-Bozen, Piazza Università 1, 39100 Bolzano, ItalyDepartment of Telecommunications and Control Engineering, Polytechnic School of the University of São Paulo, Avenida Professor Luciano Gualberto, Travessa do Politécnico 158, São Paulo 05508-900, BrazilFaculty of Science and Technology, Free University of Bolzano-Bozen, Piazza Università 1, 39100 Bolzano, ItalyRotating machinery is fundamental in industry, gearboxes especially. However, failures may occur in their transmission components due to regular usage over long periods of time, even when operations are not intense. To avoid such failures, Structural Health Monitoring (SHM) techniques for damage prediction and in-advance detection can be applied. In this regard, correlations between measured signal variations and damage can be inspected using Artificial Intelligence (AI), which demands large numbers of data for training. Since obtaining signal samples of damaged components experimentally is currently unviable for complex systems due to destructive test costs, model-based numerical approaches are to be explored to solve this problem. To address this issue, this work applied an innovative hybrid Finite Element Method (FEM)–analytical approach, reducing computational effort and increasing performance with respect to traditional FEM. With this methodology, a system can be simulated with accuracy and without geometrical simplifications for healthy and damaged cases. Indeed, considering different positions and dimensions of damages (e.g., cracks) on the tooth roots of gears can offer new ways of damage investigation. As a reference to validate healthy systems and damage cases in terms of eigenfrequencies, a back-to-back test rig was used. Numerical simulations were performed for different cases, resulting in vibrational spectra for systems with no damage, with damage, and with damage of different intensities. The vibration spectra were used as data to train an Artificial Neural Network (ANN) to predict the machine state by Condition Monitoring (CM) and Fault Diagnosis (FD). For predicting the health and the intensity of damage to a system, classification and multi-class classification methods were implemented, respectively. Both sets of classification results presented good prediction agreement.https://www.mdpi.com/2076-3417/12/15/7814gearsgearboxesdynamic modelingnumerical analysismodel-basedFEM |
spellingShingle | Ronant de Paula Monteiro Amanda Lucatto Marra Renato Vidoni Claudio Garcia Franco Concli A Hybrid Finite Element Method–Analytical Model for Classifying the Effects of Cracks on Gear Train Systems Using Artificial Neural Networks Applied Sciences gears gearboxes dynamic modeling numerical analysis model-based FEM |
title | A Hybrid Finite Element Method–Analytical Model for Classifying the Effects of Cracks on Gear Train Systems Using Artificial Neural Networks |
title_full | A Hybrid Finite Element Method–Analytical Model for Classifying the Effects of Cracks on Gear Train Systems Using Artificial Neural Networks |
title_fullStr | A Hybrid Finite Element Method–Analytical Model for Classifying the Effects of Cracks on Gear Train Systems Using Artificial Neural Networks |
title_full_unstemmed | A Hybrid Finite Element Method–Analytical Model for Classifying the Effects of Cracks on Gear Train Systems Using Artificial Neural Networks |
title_short | A Hybrid Finite Element Method–Analytical Model for Classifying the Effects of Cracks on Gear Train Systems Using Artificial Neural Networks |
title_sort | hybrid finite element method analytical model for classifying the effects of cracks on gear train systems using artificial neural networks |
topic | gears gearboxes dynamic modeling numerical analysis model-based FEM |
url | https://www.mdpi.com/2076-3417/12/15/7814 |
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