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Reliability assessment of electromechanical module with association among reliability indicators

Authors:

Nikolay Petrov1

Ventsislav Dimitrov1

Veselina Dimitrova1
1Department MEMETE, FEP of Sliven, Technical University of Sofia, Sliven, 8806, Bulgaria

Received: 24 March 2024
Revised: 28 May 2024
Accepted: 10 June 2024
Published: 30 June 2024

Abstract:

This paper presents the reliability assessment results for electromechanical modules, including carbon fiber reinforced composite with thermoplastic matrix, aluminium alloy, and steel housing, through the analysis of competing risks, establishing an association among reliability indicators and non-stationary failure flow using the Weibull probability density function. It has been demonstrated that the estimated probabilities of reliability operations and failure are merely approximations and may deviate from the actual values. This analysis correlates with the estimation of mutual competing risks in the operation of planetary gearbox housing constructed from composite materials. It has been confirmed that the estimated probability of failures is asymptotically effective. A comparative analysis illustrates reliance on simulation methods for planetary gearbox housing made of carbon fiber reinforced composite with a thermoplastic matrix, aluminium alloy, and steel, focusing on parameters such as von Mises stress and deformation (deflection). It has been proven that the electromechanical module, including carbon fiber reinforced composite with thermoplastic matrix, aluminium alloy, and steel planetary gearbox housing is the most reliable, with the lowest heat transfer coefficient, but with the lowest strength.

Keywords:

Carbon fiber reinforced composite, Composite materials, Electromechanical module, Planetary gearbox housing, Reliability, Risk in technical systems (RTS)

References:

[1] T. Schneider, M. Kreutzmann, R. Rademacher, C. Dominé, H. Motte, C. Tok, Simulation- driven development of a CFRPT gearbox housing. The 8th International Conference on Computational Methods (ICCM2017), 25-29 July 2017, Guilin, Guangxi, China.
[2] T. Imanishi, H. Nishida, N. Hirayama, N. Tomomitsu, In-situ polymerizable thermoplastic epoxy resin and high performance FRTP using it and fiber fabrics. 16th International Conference on Composite Materials, 8-13 July 2007, Kyoto, Japan, pp.1- 6.
[3] Z. Sun, Y. Dai, H. Hu, C. Guan, G. Tie, X. Chen, Design of Compound Machine Tool for Ultra-Precision Shaft Parts. MATEC Web of Conferences, 319, 2020: 01002.
https://doi.org/10.1051/matecconf/202031901002
[4] S. Radojičić, P. Konjatić, M. Katinić, J. Kačmarčik, The Influence of Material Storage on Mechanical Properties and Deterioration of Composite Materials. Tehnički vjesnik, 30(5), 2023: 1645-1651.
https://doi.org/10.17559/TV-20230308000422
[5] I. Demir, M. Ogdu, O. Dogan, S. Demir, Mechanical and physical properties of autoclaved aerated concrete reinforced using carbon fibre of different lengths. Tehnički vjesnik, 28(2), 2021: 503-508.
https://doi.org/10.17559/TV-20200218194755
[6] K.K.H Yeung, K.P. Rao, Mechanical Properties of Kevlar-49 Fibre Reinforced Thermoplastic Composites. Polymers & Polymer Composites, 20(5), 2012: 411-424. https://doi.org/10.1177/096739111202000501
[7] H.F. Lei, Z.Q. Zhang, B. Liu, Effect of fiber arrangement on mechanical properties of short fiber reinforced composites. Composites Science and Technology, 72(4), 2012: 506-514.
https://doi.org/10.1016/j.compscitech.2011.12.011
[8] S.M. Letchumanan, T. Arifin, M. Taib, M.Z. Rahim, N.A.N. Salim, Simulating the optimization of carbon fiber reinforced polymer as a wrapping structure on piping system using SolidWorks. Journal of Failure Analysis and Prevention, 21, 2021: 2038-2063. https://doi.org/10.1007/s11668-021-01287-4
[9] L. Roblek, K. Gregorin, T. Munih, J. Škofic, Transmission and Hysteresis Error of a Compound Planetary Gearbox. Svet strojništva, 12(03/06), 2023. https://doi.org/10.62020/svet.str.as20230044
[10] N. Petrov, V. Dimitrov, V. Dimitrova. Reliability of technology systems in industrial manufacturing. AkiNik Publications, New Delhi, India, 2018.
[11] R. Yankov, Movement of single solid impurities in the boundary lear of a quasi- static two-phase plane current Part I. International Scientific Conference “UNITECH 2018”, 16-17 November 2018, Gabrovo, Bulgaria, pp.22-24.
[12] M. Vasic, B. Stojanovic, M. Blagojevic, Fault analysis of gearboxes in open pit mine. Applied Engineering Letters, 5(2), 2020: 50-61. https://doi.org/10.18485/aeletters.2020.5.2.3
[13] S.S. Patil, S. Karuppanan, I. Atanasovska, A.A. Wahab, Contact stress analysis of helical gear pairs, including frictional coefficients. International Journal of Mechanical Sciences, 85, 2014: 205-211.
https://doi.org/10.1016/j.ijmecsci.2014.05.013
[14] I. Manarikkal, F. Elasha, D. Mba, Diagnostics and prognostics of planetary gearbox using CWT, auto regression (AR) and K-means algorithm. Applied Acoustics, 184, 2021: 108314.
https://doi.org/10.1016/j.apacoust.2021.108314
[15] P. Zivkovic, M. Milutinovic, M. Tica, S. Trifković, I. Camagi, Reliability Evaluation of Transmission Planetary Gears “bottom-up” approach. Eksploatacja i Niezawodnosc – Maintenance and Reliability, 25(1), 2023: 2. https://doi.org/10.17531/ein.2023.1.2
[16] M. Ognjanović, M. Ristić, P. Živković, Reliability for design of planetary gear drive units. Meccanica, 49, 2014: 829-841. https://doi.org/10.1007/s11012-013-9830-8
[17] Z. Daoyong, Z.Li, H. Niaoqing, Multi-Body Dynamics Modeling and Analysis of Planetary Gearbox Combination Failure Based on Digital Twin. Applied Sciences, 12(23), 2023: 12290.
https://doi.org/10.3390/app122312290
[18] J. Kish, Advanced Rotorcraft Transmission (ART) program status. 27th Joint Propulsion Conference, 24-26 June 1991, Sacramento, USA. https://doi.org/10.2514/6.1991-1909
[19] H.G. Yoo, W.J. Chung, B.-S. Kim, S.-C. Kim, G.- H. Lee, Application of flexible pin for planetary gear set of wind turbine gearbox. Scientific Reports, 12, 2022, 1713. https://doi.org/10.1038/s41598-022-05828-1
[20] M. Stanojević, R. Tomović, L. Ivanović, B. Stojanović, Critical analysis of design of ravigneaux planetary gear trains. Applied Engineering Letters, 7(1), 2022: 32-44. https://doi.org/10.18485/aeletters.2022.7.1.5
[21] P. Gao, L. Xie, W. Hu, Reliability and Random Lifetime Models of Planetary Gear Systems. Shock and Vibration, 2018, 2018: 9106404. https://doi.org/10.1155/2018/9106404
[22] E. Bai, H. Yang, S. Huang, L. Xie, Reliability modeling of gear system considering strength degradation. Journal of Physics: Conference Series, 1885, 2021: 052027.
https://doi.org/10.1088/1742-6596/1885/5/052027
[23] N.I. Petrov, K. Y. Dimitrova, D.D. Baskanbayeva, On the reliability of technological innovation systems. In IOP Conference Series: Materials Science and Engineering, 1031, 2021: 012044.
[24] S. Rachev, K. Dimitrova, L. Dimitrov, Study on behaviour of centrifugal pump driven by medium-voltage induction motor during operation control. E3S Web of Conferences, 404, 2023: 03005.
https://doi.org/10.1051/e3sconf/202340403005
[25] J.E. Akin, Finite Element Analysis Concepts, World Scientific Via SolidWorks. World Scientific Publishing Co Pte Limited, New Jersey, USA, 2010. https://doi.org/10.1142/7785
[26] X. Tang, Structural Strength Analysis of Gearbox Casing Based on ABAQUS. IOP Conference Series: Materials Science and Engineering, 677, 2019: 052067. https://doi.org/10.1088/1757-899X/677/5/052067
[27] F. Concli, A. Kolios, Preliminary Evaluation of the Influence of Surface and Tooth Root Damage on the Stress and Strain State of a Planetary Gearbox: An Innovative Hybrid Numerical–Analytical Approach for Further Development of Structural Health Monitoring Models. Computation, 9(3), 2021: 38. https://doi.org/10.3390/computation9030038
[28] Y.F. Cui, Y.H. Zhang, W.D. He, L.J. Dong, Temperature Prediction for 3 MW Wind-Turbine Gearbox Based on Thermal Network Model. Machines, 12(3), 2024: 175. https://doi.org/10.3390/machines12030175
[29] M. Matejic, M. Blagojevic, M. Matejic, Dynamic behaviour of a planetary reducer with double planet gears. Mechanical Sciences, 12(2), 2021: 997-1003. https://doi.org/10.5194/ms-12-997-2021
[30] H. Dong, Y. Bi, Z.-B. Liu, X.-L. Zhao, Establishment and analysis of nonlinear frequency response model of planetary gear transmission system. Mechanical Sciences, 12(2), 2012: 1093-1104.
https://doi.org/10.5194/ms-12-1093-2021

© 2024 by the authors. This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0)

Volume 9
Number 3
September 2024

Last Edition

Volume 9
Number 3
September 2024

How to Cite

N. Petrov, V. Dimitrov, V. Dimitrova, Reliability Assessment of Electromechanical Module With Association Among Reliability Indicators. Applied Engineering Letters, 9(2), 2024: 85-93.
https://doi.org/10.46793/aeletters.2024.9.2.3

More Citation Formats

Petrov, N., Dimitrov, V., & Dimitrova, V. (2024). Reliability Assessment of Electromechanical Module With Association Among Reliability Indicators. Applied Engineering Letters, 9(2), 85-93.
https://doi.org/10.46793/aeletters.2024.9.2.3

Petrov, Nikolay, et al. “Reliability Assessment of Electromechanical Module With Association Among Reliability Indicators.“ Applied Engineering Letters, vol. 9, no. 2, 2024, pp. 85-93.
https://doi.org/10.46793/aeletters.2024.9.2.3

Petrov, Nikolay, Ventsislav Dimitrov, and Veselina Dimitrova. 2024. “Reliability Assessment of Electromechanical Module With Association Among Reliability Indicators.“ Applied Engineering Letters, 9 (2): 85-93.
https://doi.org/10.46793/aeletters.2024.9.2.3

Petrov, N., Dimitrov, V. and Dimitrova, V. (2024). Reliability Assessment of Electromechanical Module With Association Among Reliability Indicators. Applied Engineering Letters, 9(2), pp. 85-93.
doi: 10.46793/aeletters.2024.9.2.3.

Reliability assessment of electromechanical module with association among reliability indicators

Authors:

Nikolay Petrov1

Ventsislav Dimitrov1

Veselina Dimitrova1
1Department MEMETE, FEP of Sliven, Technical University of Sofia, Sliven, 8806, Bulgaria

Received: 24 March 2024
Revised: 28 May 2024
Accepted: 10 June 2024
Published: 30 June 2024

Abstract:

This paper presents the reliability assessment results for electromechanical modules, including carbon fiber reinforced composite with thermoplastic matrix, aluminium alloy, and steel housing, through the analysis of competing risks, establishing an association among reliability indicators and non-stationary failure flow using the Weibull probability density function. It has been demonstrated that the estimated probabilities of reliability operations and failure are merely approximations and may deviate from the actual values. This analysis correlates with the estimation of mutual competing risks in the operation of planetary gearbox housing constructed from composite materials. It has been confirmed that the estimated probability of failures is asymptotically effective. A comparative analysis illustrates reliance on simulation methods for planetary gearbox housing made of carbon fiber reinforced composite with a thermoplastic matrix, aluminium alloy, and steel, focusing on parameters such as von Mises stress and deformation (deflection). It has been proven that the electromechanical module, including carbon fiber reinforced composite with thermoplastic matrix, aluminium alloy, and steel planetary gearbox housing is the most reliable, with the lowest heat transfer coefficient, but with the lowest strength.

Keywords:

Carbon fiber reinforced composite, Composite materials, Electromechanical module, Planetary gearbox housing, Reliability, Risk in technical systems (RTS)

References:

[1] T. Schneider, M. Kreutzmann, R. Rademacher, C. Dominé, H. Motte, C. Tok, Simulation- driven development of a CFRPT gearbox housing. The 8th International Conference on Computational Methods (ICCM2017), 25-29 July 2017, Guilin, Guangxi, China.
[2] T. Imanishi, H. Nishida, N. Hirayama, N. Tomomitsu, In-situ polymerizable thermoplastic epoxy resin and high performance FRTP using it and fiber fabrics. 16th International Conference on Composite Materials, 8-13 July 2007, Kyoto, Japan, pp.1- 6.
[3] Z. Sun, Y. Dai, H. Hu, C. Guan, G. Tie, X. Chen, Design of Compound Machine Tool for Ultra-Precision Shaft Parts. MATEC Web of Conferences, 319, 2020: 01002.
https://doi.org/10.1051/matecconf/202031901002
[4] S. Radojičić, P. Konjatić, M. Katinić, J. Kačmarčik, The Influence of Material Storage on Mechanical Properties and Deterioration of Composite Materials. Tehnički vjesnik, 30(5), 2023: 1645-1651.
https://doi.org/10.17559/TV-20230308000422
[5] I. Demir, M. Ogdu, O. Dogan, S. Demir, Mechanical and physical properties of autoclaved aerated concrete reinforced using carbon fibre of different lengths. Tehnički vjesnik, 28(2), 2021: 503-508.
https://doi.org/10.17559/TV-20200218194755
[6] K.K.H Yeung, K.P. Rao, Mechanical Properties of Kevlar-49 Fibre Reinforced Thermoplastic Composites. Polymers & Polymer Composites, 20(5), 2012: 411-424. https://doi.org/10.1177/096739111202000501
[7] H.F. Lei, Z.Q. Zhang, B. Liu, Effect of fiber arrangement on mechanical properties of short fiber reinforced composites. Composites Science and Technology, 72(4), 2012: 506-514.
https://doi.org/10.1016/j.compscitech.2011.12.011
[8] S.M. Letchumanan, T. Arifin, M. Taib, M.Z. Rahim, N.A.N. Salim, Simulating the optimization of carbon fiber reinforced polymer as a wrapping structure on piping system using SolidWorks. Journal of Failure Analysis and Prevention, 21, 2021: 2038-2063. https://doi.org/10.1007/s11668-021-01287-4
[9] L. Roblek, K. Gregorin, T. Munih, J. Škofic, Transmission and Hysteresis Error of a Compound Planetary Gearbox. Svet strojništva, 12(03/06), 2023. https://doi.org/10.62020/svet.str.as20230044
[10] N. Petrov, V. Dimitrov, V. Dimitrova. Reliability of technology systems in industrial manufacturing. AkiNik Publications, New Delhi, India, 2018.
[11] R. Yankov, Movement of single solid impurities in the boundary lear of a quasi- static two-phase plane current Part I. International Scientific Conference “UNITECH 2018”, 16-17 November 2018, Gabrovo, Bulgaria, pp.22-24.
[12] M. Vasic, B. Stojanovic, M. Blagojevic, Fault analysis of gearboxes in open pit mine. Applied Engineering Letters, 5(2), 2020: 50-61. https://doi.org/10.18485/aeletters.2020.5.2.3
[13] S.S. Patil, S. Karuppanan, I. Atanasovska, A.A. Wahab, Contact stress analysis of helical gear pairs, including frictional coefficients. International Journal of Mechanical Sciences, 85, 2014: 205-211.
https://doi.org/10.1016/j.ijmecsci.2014.05.013
[14] I. Manarikkal, F. Elasha, D. Mba, Diagnostics and prognostics of planetary gearbox using CWT, auto regression (AR) and K-means algorithm. Applied Acoustics, 184, 2021: 108314.
https://doi.org/10.1016/j.apacoust.2021.108314
[15] P. Zivkovic, M. Milutinovic, M. Tica, S. Trifković, I. Camagi, Reliability Evaluation of Transmission Planetary Gears “bottom-up” approach. Eksploatacja i Niezawodnosc – Maintenance and Reliability, 25(1), 2023: 2. https://doi.org/10.17531/ein.2023.1.2
[16] M. Ognjanović, M. Ristić, P. Živković, Reliability for design of planetary gear drive units. Meccanica, 49, 2014: 829-841. https://doi.org/10.1007/s11012-013-9830-8
[17] Z. Daoyong, Z.Li, H. Niaoqing, Multi-Body Dynamics Modeling and Analysis of Planetary Gearbox Combination Failure Based on Digital Twin. Applied Sciences, 12(23), 2023: 12290.
https://doi.org/10.3390/app122312290
[18] J. Kish, Advanced Rotorcraft Transmission (ART) program status. 27th Joint Propulsion Conference, 24-26 June 1991, Sacramento, USA. https://doi.org/10.2514/6.1991-1909
[19] H.G. Yoo, W.J. Chung, B.-S. Kim, S.-C. Kim, G.- H. Lee, Application of flexible pin for planetary gear set of wind turbine gearbox. Scientific Reports, 12, 2022, 1713. https://doi.org/10.1038/s41598-022-05828-1
[20] M. Stanojević, R. Tomović, L. Ivanović, B. Stojanović, Critical analysis of design of ravigneaux planetary gear trains. Applied Engineering Letters, 7(1), 2022: 32-44. https://doi.org/10.18485/aeletters.2022.7.1.5
[21] P. Gao, L. Xie, W. Hu, Reliability and Random Lifetime Models of Planetary Gear Systems. Shock and Vibration, 2018, 2018: 9106404. https://doi.org/10.1155/2018/9106404
[22] E. Bai, H. Yang, S. Huang, L. Xie, Reliability modeling of gear system considering strength degradation. Journal of Physics: Conference Series, 1885, 2021: 052027.
https://doi.org/10.1088/1742-6596/1885/5/052027
[23] N.I. Petrov, K. Y. Dimitrova, D.D. Baskanbayeva, On the reliability of technological innovation systems. In IOP Conference Series: Materials Science and Engineering, 1031, 2021: 012044.
[24] S. Rachev, K. Dimitrova, L. Dimitrov, Study on behaviour of centrifugal pump driven by medium-voltage induction motor during operation control. E3S Web of Conferences, 404, 2023: 03005.
https://doi.org/10.1051/e3sconf/202340403005
[25] J.E. Akin, Finite Element Analysis Concepts, World Scientific Via SolidWorks. World Scientific Publishing Co Pte Limited, New Jersey, USA, 2010. https://doi.org/10.1142/7785
[26] X. Tang, Structural Strength Analysis of Gearbox Casing Based on ABAQUS. IOP Conference Series: Materials Science and Engineering, 677, 2019: 052067. https://doi.org/10.1088/1757-899X/677/5/052067
[27] F. Concli, A. Kolios, Preliminary Evaluation of the Influence of Surface and Tooth Root Damage on the Stress and Strain State of a Planetary Gearbox: An Innovative Hybrid Numerical–Analytical Approach for Further Development of Structural Health Monitoring Models. Computation, 9(3), 2021: 38. https://doi.org/10.3390/computation9030038
[28] Y.F. Cui, Y.H. Zhang, W.D. He, L.J. Dong, Temperature Prediction for 3 MW Wind-Turbine Gearbox Based on Thermal Network Model. Machines, 12(3), 2024: 175. https://doi.org/10.3390/machines12030175
[29] M. Matejic, M. Blagojevic, M. Matejic, Dynamic behaviour of a planetary reducer with double planet gears. Mechanical Sciences, 12(2), 2021: 997-1003. https://doi.org/10.5194/ms-12-997-2021
[30] H. Dong, Y. Bi, Z.-B. Liu, X.-L. Zhao, Establishment and analysis of nonlinear frequency response model of planetary gear transmission system. Mechanical Sciences, 12(2), 2012: 1093-1104.
https://doi.org/10.5194/ms-12-1093-2021

© 2024 by the authors. This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0)

Volume 9
Number 3
September 2024

Last Edition

Volume 9
Number 3
September 2024

How to Cite

N. Petrov, V. Dimitrov, V. Dimitrova, Reliability Assessment of Electromechanical Module With Association Among Reliability Indicators. Applied Engineering Letters, 9(2), 2024: 85-93.
https://doi.org/10.46793/aeletters.2024.9.2.3

More Citation Formats

Petrov, N., Dimitrov, V., & Dimitrova, V. (2024). Reliability Assessment of Electromechanical Module With Association Among Reliability Indicators. Applied Engineering Letters, 9(2), 85-93.
https://doi.org/10.46793/aeletters.2024.9.2.3

Petrov, Nikolay, et al. “Reliability Assessment of Electromechanical Module With Association Among Reliability Indicators.“ Applied Engineering Letters, vol. 9, no. 2, 2024, pp. 85-93.
https://doi.org/10.46793/aeletters.2024.9.2.3

Petrov, Nikolay, Ventsislav Dimitrov, and Veselina Dimitrova. 2024. “Reliability Assessment of Electromechanical Module With Association Among Reliability Indicators.“ Applied Engineering Letters, 9 (2): 85-93.
https://doi.org/10.46793/aeletters.2024.9.2.3

Petrov, N., Dimitrov, V. and Dimitrova, V. (2024). Reliability Assessment of Electromechanical Module With Association Among Reliability Indicators. Applied Engineering Letters, 9(2), pp. 85-93.
doi: 10.46793/aeletters.2024.9.2.3.