Torsional vibration analysis of shafts based on Adomian decomposition method
In this paper free torsional vibration of shafts is studied using a new approach of solving differential equations called Adomian decomposition method (ADM). Applying this method to free torsional vibration of shafts means a systematic and straightforward procedure for calculating both low and high...
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University of West Bohemia
2013-12-01
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Online Access: | http://www.kme.zcu.cz/acm/acm/article/view/208/240 |
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doaj-963c49c9dc804f718f505c2ecac219542021-09-02T02:57:41ZengUniversity of West BohemiaApplied and Computational Mechanics1802-680X2336-11822013-12-0172205222Torsional vibration analysis of shafts based on Adomian decomposition methodTabassian R.0Ferdowsi University of Mashhad, Department of Mechanical Engineering, Mashhad, IranIn this paper free torsional vibration of shafts is studied using a new approach of solving differential equations called Adomian decomposition method (ADM). Applying this method to free torsional vibration of shafts means a systematic and straightforward procedure for calculating both low and high frequency modes. In this paper different boundary conditions are applied to both end of the shaft and first five natural frequencies and mode shapes are calculated for four different cases. Obtained results are compared with results presented in literature. These results demonstrate that ADM is a suitable approach for analysis of free torsional vibration of shafts which provides precise results with high order of accuracy.http://www.kme.zcu.cz/acm/acm/article/view/208/240Adomian decomposition methodtorsional vibrationnatural frequenciesshaftsdifferential equations |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Tabassian R. |
spellingShingle |
Tabassian R. Torsional vibration analysis of shafts based on Adomian decomposition method Applied and Computational Mechanics Adomian decomposition method torsional vibration natural frequencies shafts differential equations |
author_facet |
Tabassian R. |
author_sort |
Tabassian R. |
title |
Torsional vibration analysis of shafts based on Adomian decomposition method |
title_short |
Torsional vibration analysis of shafts based on Adomian decomposition method |
title_full |
Torsional vibration analysis of shafts based on Adomian decomposition method |
title_fullStr |
Torsional vibration analysis of shafts based on Adomian decomposition method |
title_full_unstemmed |
Torsional vibration analysis of shafts based on Adomian decomposition method |
title_sort |
torsional vibration analysis of shafts based on adomian decomposition method |
publisher |
University of West Bohemia |
series |
Applied and Computational Mechanics |
issn |
1802-680X 2336-1182 |
publishDate |
2013-12-01 |
description |
In this paper free torsional vibration of shafts is studied using a new approach of solving differential equations called Adomian decomposition method (ADM). Applying this method to free torsional vibration of shafts means a systematic and straightforward procedure for calculating both low and high frequency modes. In this paper different boundary conditions are applied to both end of the shaft and first five natural frequencies and mode shapes are calculated for four different cases. Obtained results are compared with results presented in literature. These results demonstrate that ADM is a suitable approach for analysis of free torsional vibration of shafts which provides precise results with high order of accuracy. |
topic |
Adomian decomposition method torsional vibration natural frequencies shafts differential equations |
url |
http://www.kme.zcu.cz/acm/acm/article/view/208/240 |
work_keys_str_mv |
AT tabassianr torsionalvibrationanalysisofshaftsbasedonadomiandecompositionmethod |
_version_ |
1721181053114122240 |