Steady State and Transient Vibration Analysis of an Exponentially Graded Rotor Bearing System Having a Slant Crack
The dynamic behaviour of a slant-cracked exponentially graded (EG) rotor-bearing system has been investigated using the finite element method for flexural vibrations. A two nodded EG rotor element has been developed based on the Timoshenko beam theory. Local flexibility coefficients (LFCs) of a slan...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-07-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/12/14/6900 |
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| author | Prabhakar Sathujoda Aneesh Batchu Giacomo Canale Roberto Citarella |
| author_facet | Prabhakar Sathujoda Aneesh Batchu Giacomo Canale Roberto Citarella |
| author_sort | Prabhakar Sathujoda |
| collection | DOAJ |
| description | The dynamic behaviour of a slant-cracked exponentially graded (EG) rotor-bearing system has been investigated using the finite element method for flexural vibrations. A two nodded EG rotor element has been developed based on the Timoshenko beam theory. Local flexibility coefficients (LFCs) of a slant-cracked EG shaft element have been derived using fracture mechanics concepts to develop the stiffness matrix of a cracked EG element. The steady-state and transient vibration responses of cracked and uncracked rotor systems have been simulated using the Houbolt time marching method. When a crack is present in the shaft, the subharmonic frequency peaks are centred on operating speed in the steady-state frequency responses, whereas on critical speed in the transient frequency responses at an interval frequency corresponding to the torsional frequency. It has been found that the crack parameters such as crack depth and location, temperature gradients and torsional frequencies have a significant influence on natural frequencies and dynamic responses, which could be implemented for efficient rotor crack detection methodologies. |
| first_indexed | 2024-03-09T12:18:29Z |
| format | Article |
| id | doaj.art-0391d399542b48dfadad934815b794fa |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-09T12:18:29Z |
| publishDate | 2022-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-0391d399542b48dfadad934815b794fa2023-11-30T22:43:24ZengMDPI AGApplied Sciences2076-34172022-07-011214690010.3390/app12146900Steady State and Transient Vibration Analysis of an Exponentially Graded Rotor Bearing System Having a Slant CrackPrabhakar Sathujoda0Aneesh Batchu1Giacomo Canale2Roberto Citarella3Department of Mechanical Engineering, Bennett University, Greater Noida 201310, IndiaDepartment of Mechanical Engineering, Bennett University, Greater Noida 201310, IndiaRolls-Royce Plc, Derby DE24 8BJ, UKDepartment of Industrial Engineering, University of Salerno, 84084 Fisciano, SA, ItalyThe dynamic behaviour of a slant-cracked exponentially graded (EG) rotor-bearing system has been investigated using the finite element method for flexural vibrations. A two nodded EG rotor element has been developed based on the Timoshenko beam theory. Local flexibility coefficients (LFCs) of a slant-cracked EG shaft element have been derived using fracture mechanics concepts to develop the stiffness matrix of a cracked EG element. The steady-state and transient vibration responses of cracked and uncracked rotor systems have been simulated using the Houbolt time marching method. When a crack is present in the shaft, the subharmonic frequency peaks are centred on operating speed in the steady-state frequency responses, whereas on critical speed in the transient frequency responses at an interval frequency corresponding to the torsional frequency. It has been found that the crack parameters such as crack depth and location, temperature gradients and torsional frequencies have a significant influence on natural frequencies and dynamic responses, which could be implemented for efficient rotor crack detection methodologies.https://www.mdpi.com/2076-3417/12/14/6900functionally graded rotor-bearing systemlocal flexibility coefficientsslant cracksteady-state responsetransient response |
| spellingShingle | Prabhakar Sathujoda Aneesh Batchu Giacomo Canale Roberto Citarella Steady State and Transient Vibration Analysis of an Exponentially Graded Rotor Bearing System Having a Slant Crack Applied Sciences functionally graded rotor-bearing system local flexibility coefficients slant crack steady-state response transient response |
| title | Steady State and Transient Vibration Analysis of an Exponentially Graded Rotor Bearing System Having a Slant Crack |
| title_full | Steady State and Transient Vibration Analysis of an Exponentially Graded Rotor Bearing System Having a Slant Crack |
| title_fullStr | Steady State and Transient Vibration Analysis of an Exponentially Graded Rotor Bearing System Having a Slant Crack |
| title_full_unstemmed | Steady State and Transient Vibration Analysis of an Exponentially Graded Rotor Bearing System Having a Slant Crack |
| title_short | Steady State and Transient Vibration Analysis of an Exponentially Graded Rotor Bearing System Having a Slant Crack |
| title_sort | steady state and transient vibration analysis of an exponentially graded rotor bearing system having a slant crack |
| topic | functionally graded rotor-bearing system local flexibility coefficients slant crack steady-state response transient response |
| url | https://www.mdpi.com/2076-3417/12/14/6900 |
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