Stress Distribution and Transverse Vibration of Flywheel Within Linear Elastic Range
Flywheels have been largely used in rotating machine engines to save inertial energy and to limit speed fluctuations. A stress distribution problem is created due to the centrifugal forces that are formed when the flywheel is spinning around, which leads to different levels of pressure and decompres...
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MDPI AG
2024-12-01
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| author | Desejo Filipeson Sozinando Kgotso Koketso Leema Vhahangwele Colleen Sigonde Bernard Xavier Tchomeni Alfayo Anyika Alugongo |
| author_facet | Desejo Filipeson Sozinando Kgotso Koketso Leema Vhahangwele Colleen Sigonde Bernard Xavier Tchomeni Alfayo Anyika Alugongo |
| author_sort | Desejo Filipeson Sozinando |
| collection | DOAJ |
| description | Flywheels have been largely used in rotating machine engines to save inertial energy and to limit speed fluctuations. A stress distribution problem is created due to the centrifugal forces that are formed when the flywheel is spinning around, which leads to different levels of pressure and decompression inside its structure. Lack of balance leads to high energy losses through various mechanisms, which deteriorate both the flywheel’s expectancy and their ability to rotate at high speeds. Deviation in the design of flywheels from their optimum performance can cause instability issues and even a catastrophic failure during operation. This paper aims to analytically examine the stress distribution of radial and tangential directions along the flywheel structure within a linear elastic range. The eigenvalues and eigenvectors, which are representative of free vibrational features, were extracted by applying finite element analysis (FEA). Natural frequencies and their corresponding vibrating mode shapes and mass participation factors were identified. Furthermore, Kirchhoff–Love plate theory was employed to model the transverse vibration of the system. A general solution for the radial component of the equation of flywheel motion was derived with the help of the Bessel function. The results show certain modes of vibration identified as particularly influential in specific directions. Advanced time-frequency analysis techniques, including but not limited to continuous wavelet transform (CWT) and Hilbert–Huang transform (HHT), were applied to extract transverse vibration features of the flywheel system. It was also found that using CWT, low-frequency vibrations contribute to the majority of the energy in the extracted signal spectrum, while HHT exposes the high-frequency components of vibration that may cause significant structural damage if not addressed in time. |
| format | Article |
| id | doaj-art-450bf035cb9e43e7a8b18c7e5355f531 |
| institution | Kabale University |
| issn | 2571-631X |
| language | English |
| publishDate | 2024-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Vibration |
| spelling | doaj-art-450bf035cb9e43e7a8b18c7e5355f5312024-12-27T14:58:50ZengMDPI AGVibration2571-631X2024-12-01741248126510.3390/vibration7040064Stress Distribution and Transverse Vibration of Flywheel Within Linear Elastic RangeDesejo Filipeson Sozinando0Kgotso Koketso Leema1Vhahangwele Colleen Sigonde2Bernard Xavier Tchomeni3Alfayo Anyika Alugongo4Department of Industrial Engineering, Operations Management, and Mechanical Engineering, Vaal University of Technology, Vanderbijlpark Campus Private Bag X021, Andries Potgieter Blvd, Vaderbijlpark 1911, South AfricaDepartment of Industrial Engineering, Operations Management, and Mechanical Engineering, Vaal University of Technology, Vanderbijlpark Campus Private Bag X021, Andries Potgieter Blvd, Vaderbijlpark 1911, South AfricaDepartment of Industrial Engineering, Operations Management, and Mechanical Engineering, Vaal University of Technology, Vanderbijlpark Campus Private Bag X021, Andries Potgieter Blvd, Vaderbijlpark 1911, South AfricaDepartment of Industrial Engineering, Operations Management, and Mechanical Engineering, Vaal University of Technology, Vanderbijlpark Campus Private Bag X021, Andries Potgieter Blvd, Vaderbijlpark 1911, South AfricaDepartment of Industrial Engineering, Operations Management, and Mechanical Engineering, Vaal University of Technology, Vanderbijlpark Campus Private Bag X021, Andries Potgieter Blvd, Vaderbijlpark 1911, South AfricaFlywheels have been largely used in rotating machine engines to save inertial energy and to limit speed fluctuations. A stress distribution problem is created due to the centrifugal forces that are formed when the flywheel is spinning around, which leads to different levels of pressure and decompression inside its structure. Lack of balance leads to high energy losses through various mechanisms, which deteriorate both the flywheel’s expectancy and their ability to rotate at high speeds. Deviation in the design of flywheels from their optimum performance can cause instability issues and even a catastrophic failure during operation. This paper aims to analytically examine the stress distribution of radial and tangential directions along the flywheel structure within a linear elastic range. The eigenvalues and eigenvectors, which are representative of free vibrational features, were extracted by applying finite element analysis (FEA). Natural frequencies and their corresponding vibrating mode shapes and mass participation factors were identified. Furthermore, Kirchhoff–Love plate theory was employed to model the transverse vibration of the system. A general solution for the radial component of the equation of flywheel motion was derived with the help of the Bessel function. The results show certain modes of vibration identified as particularly influential in specific directions. Advanced time-frequency analysis techniques, including but not limited to continuous wavelet transform (CWT) and Hilbert–Huang transform (HHT), were applied to extract transverse vibration features of the flywheel system. It was also found that using CWT, low-frequency vibrations contribute to the majority of the energy in the extracted signal spectrum, while HHT exposes the high-frequency components of vibration that may cause significant structural damage if not addressed in time.https://www.mdpi.com/2571-631X/7/4/64stress distributiontransverse vibrationKirchhoff–Love plate theoryFEACWTHHT |
| spellingShingle | Desejo Filipeson Sozinando Kgotso Koketso Leema Vhahangwele Colleen Sigonde Bernard Xavier Tchomeni Alfayo Anyika Alugongo Stress Distribution and Transverse Vibration of Flywheel Within Linear Elastic Range Vibration stress distribution transverse vibration Kirchhoff–Love plate theory FEA CWT HHT |
| title | Stress Distribution and Transverse Vibration of Flywheel Within Linear Elastic Range |
| title_full | Stress Distribution and Transverse Vibration of Flywheel Within Linear Elastic Range |
| title_fullStr | Stress Distribution and Transverse Vibration of Flywheel Within Linear Elastic Range |
| title_full_unstemmed | Stress Distribution and Transverse Vibration of Flywheel Within Linear Elastic Range |
| title_short | Stress Distribution and Transverse Vibration of Flywheel Within Linear Elastic Range |
| title_sort | stress distribution and transverse vibration of flywheel within linear elastic range |
| topic | stress distribution transverse vibration Kirchhoff–Love plate theory FEA CWT HHT |
| url | https://www.mdpi.com/2571-631X/7/4/64 |
| work_keys_str_mv | AT desejofilipesonsozinando stressdistributionandtransversevibrationofflywheelwithinlinearelasticrange AT kgotsokoketsoleema stressdistributionandtransversevibrationofflywheelwithinlinearelasticrange AT vhahangwelecolleensigonde stressdistributionandtransversevibrationofflywheelwithinlinearelasticrange AT bernardxaviertchomeni stressdistributionandtransversevibrationofflywheelwithinlinearelasticrange AT alfayoanyikaalugongo stressdistributionandtransversevibrationofflywheelwithinlinearelasticrange |