Dynamic characteristics of multi-disk shaft system using the vectors of solution coefficients / Z. Hamdi Cherif and Ch. Kandouci
In this paper, a technique using relationships between the coefficient vectors of the differential equation solutions is extended to calculate the five lowest forward and backward whirling speeds of a multi-disk shaft system. To this end, the vertical and horizontal components of transverse vibratio...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Faculty of Mechanical Engineering Universiti Teknologi MARA (UiTM)
2020
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| Subjects: | |
| Online Access: | https://ir.uitm.edu.my/id/eprint/36592/1/36592.pdf |
| _version_ | 1825738332561211392 |
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| author | Z., Hamdi Cherif Ch., Kandouci |
| author_facet | Z., Hamdi Cherif Ch., Kandouci |
| author_sort | Z., Hamdi Cherif |
| collection | UITM |
| description | In this paper, a technique using relationships between the coefficient vectors of the differential equation solutions is extended to calculate the five lowest forward and backward whirling speeds of a multi-disk shaft system. To this end, the vertical and horizontal components of transverse vibrations are analysed using the Bernoulli-Eulerbeam model, including the gyroscopic effect of each disk. The aforementioned relationships obtained from the continuity equation and the equilibrium equations, when written in matrix form and compared to the conventional transfer matrices related to the state vector, present an advantage that reduces the number of multiplied matrices, when adjacent shaft segments have the same material properties and/or diameters. The associated whirling mode shapes are determined using the algebraic complements according to I.P. Natanson. The good agreement via a comparison between the obtained results and those available in the literature shows the efficiency and the accuracy of the presented method |
| first_indexed | 2024-03-06T02:31:56Z |
| format | Article |
| id | oai:ir.uitm.edu.my:36592 |
| institution | Universiti Teknologi MARA |
| language | English |
| last_indexed | 2024-03-06T02:31:56Z |
| publishDate | 2020 |
| publisher | Faculty of Mechanical Engineering Universiti Teknologi MARA (UiTM) |
| record_format | dspace |
| spelling | oai:ir.uitm.edu.my:365922020-11-12T02:27:48Z https://ir.uitm.edu.my/id/eprint/36592/ Dynamic characteristics of multi-disk shaft system using the vectors of solution coefficients / Z. Hamdi Cherif and Ch. Kandouci jmeche Z., Hamdi Cherif Ch., Kandouci TJ Mechanical engineering and machinery Mechanics applied to machinery. Dynamics In this paper, a technique using relationships between the coefficient vectors of the differential equation solutions is extended to calculate the five lowest forward and backward whirling speeds of a multi-disk shaft system. To this end, the vertical and horizontal components of transverse vibrations are analysed using the Bernoulli-Eulerbeam model, including the gyroscopic effect of each disk. The aforementioned relationships obtained from the continuity equation and the equilibrium equations, when written in matrix form and compared to the conventional transfer matrices related to the state vector, present an advantage that reduces the number of multiplied matrices, when adjacent shaft segments have the same material properties and/or diameters. The associated whirling mode shapes are determined using the algebraic complements according to I.P. Natanson. The good agreement via a comparison between the obtained results and those available in the literature shows the efficiency and the accuracy of the presented method Faculty of Mechanical Engineering Universiti Teknologi MARA (UiTM) 2020 Article PeerReviewed text en https://ir.uitm.edu.my/id/eprint/36592/1/36592.pdf Dynamic characteristics of multi-disk shaft system using the vectors of solution coefficients / Z. Hamdi Cherif and Ch. Kandouci. (2020) Journal of Mechanical Engineering (JMechE) <https://ir.uitm.edu.my/view/publication/Journal_of_Mechanical_Engineering_=28JMechE=29/>, 17 (3). pp. 95-115. ISSN 1823-5514 ; 2550-164X https://jmeche.uitm.edu.my/ |
| spellingShingle | TJ Mechanical engineering and machinery Mechanics applied to machinery. Dynamics Z., Hamdi Cherif Ch., Kandouci Dynamic characteristics of multi-disk shaft system using the vectors of solution coefficients / Z. Hamdi Cherif and Ch. Kandouci |
| title | Dynamic characteristics of multi-disk shaft system using the vectors of solution coefficients / Z. Hamdi Cherif and Ch. Kandouci |
| title_full | Dynamic characteristics of multi-disk shaft system using the vectors of solution coefficients / Z. Hamdi Cherif and Ch. Kandouci |
| title_fullStr | Dynamic characteristics of multi-disk shaft system using the vectors of solution coefficients / Z. Hamdi Cherif and Ch. Kandouci |
| title_full_unstemmed | Dynamic characteristics of multi-disk shaft system using the vectors of solution coefficients / Z. Hamdi Cherif and Ch. Kandouci |
| title_short | Dynamic characteristics of multi-disk shaft system using the vectors of solution coefficients / Z. Hamdi Cherif and Ch. Kandouci |
| title_sort | dynamic characteristics of multi disk shaft system using the vectors of solution coefficients z hamdi cherif and ch kandouci |
| topic | TJ Mechanical engineering and machinery Mechanics applied to machinery. Dynamics |
| url | https://ir.uitm.edu.my/id/eprint/36592/1/36592.pdf |
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