Exact forced torsional vibration solution of a shaft with multiple discontinuities and arbitrary boundary conditions
In this paper, the method based on Laplace transform and Fourier transform and their inverse transforms is developed to give an exact solution to the forced torsional vibration of a shaft subjected to multiple inertias, multiple elastic supports, arbitrary boundary conditions and arbitrary excitatio...
Main Authors: | , , , |
---|---|
Format: | Article |
Language: | English |
Published: |
JVE International
2020-06-01
|
Series: | Journal of Vibroengineering |
Subjects: | |
Online Access: | https://www.jvejournals.com/article/20938 |
id |
doaj-355eefdec0f0440991d572bcad9df636 |
---|---|
record_format |
Article |
spelling |
doaj-355eefdec0f0440991d572bcad9df6362020-11-25T03:14:23ZengJVE InternationalJournal of Vibroengineering1392-87162538-84602020-06-0122477379110.21595/jve.2020.2093820938Exact forced torsional vibration solution of a shaft with multiple discontinuities and arbitrary boundary conditionsMeilong Chen0Shuying Li1Hongliang Li2Siyuan Liu3Harbin Engineering University, Harbin, ChinaHarbin Engineering University, Harbin, ChinaHarbin Engineering University, Harbin, ChinaHarbin Engineering University, Harbin, ChinaIn this paper, the method based on Laplace transform and Fourier transform and their inverse transforms is developed to give an exact solution to the forced torsional vibration of a shaft subjected to multiple inertias, multiple elastic supports, arbitrary boundary conditions and arbitrary excitation forces. Two simple cases are used to show in detail how this developed method can obtain an exact analytical solution to the forced torsional vibration of shaft and the results are compared with Eigenfunction Expansion Method and Finite Element Method (FEM) to demonstrate the accuracy and effectiveness of the developed method. Two more complex cases are investigated to further show the superiority of the developed method over FEM in highly efficient and accurate. Finally, using the developed method, the effects of parameters on forced torsional vibration response of shaft are discussed, including the stiffness, the location of elastic supports and the time interval of impact loading. The developed method can provide a reliable theoretical base not only for analysis and fault diagnosis of a shaft system in engineering signal testing projects but also for the verification of other numerical and analytical methods.https://www.jvejournals.com/article/20938analytical solutionforced torsional vibrationintegral transformationsarbitrary boundary conditions |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Meilong Chen Shuying Li Hongliang Li Siyuan Liu |
spellingShingle |
Meilong Chen Shuying Li Hongliang Li Siyuan Liu Exact forced torsional vibration solution of a shaft with multiple discontinuities and arbitrary boundary conditions Journal of Vibroengineering analytical solution forced torsional vibration integral transformations arbitrary boundary conditions |
author_facet |
Meilong Chen Shuying Li Hongliang Li Siyuan Liu |
author_sort |
Meilong Chen |
title |
Exact forced torsional vibration solution of a shaft with multiple discontinuities and arbitrary boundary conditions |
title_short |
Exact forced torsional vibration solution of a shaft with multiple discontinuities and arbitrary boundary conditions |
title_full |
Exact forced torsional vibration solution of a shaft with multiple discontinuities and arbitrary boundary conditions |
title_fullStr |
Exact forced torsional vibration solution of a shaft with multiple discontinuities and arbitrary boundary conditions |
title_full_unstemmed |
Exact forced torsional vibration solution of a shaft with multiple discontinuities and arbitrary boundary conditions |
title_sort |
exact forced torsional vibration solution of a shaft with multiple discontinuities and arbitrary boundary conditions |
publisher |
JVE International |
series |
Journal of Vibroengineering |
issn |
1392-8716 2538-8460 |
publishDate |
2020-06-01 |
description |
In this paper, the method based on Laplace transform and Fourier transform and their inverse transforms is developed to give an exact solution to the forced torsional vibration of a shaft subjected to multiple inertias, multiple elastic supports, arbitrary boundary conditions and arbitrary excitation forces. Two simple cases are used to show in detail how this developed method can obtain an exact analytical solution to the forced torsional vibration of shaft and the results are compared with Eigenfunction Expansion Method and Finite Element Method (FEM) to demonstrate the accuracy and effectiveness of the developed method. Two more complex cases are investigated to further show the superiority of the developed method over FEM in highly efficient and accurate. Finally, using the developed method, the effects of parameters on forced torsional vibration response of shaft are discussed, including the stiffness, the location of elastic supports and the time interval of impact loading. The developed method can provide a reliable theoretical base not only for analysis and fault diagnosis of a shaft system in engineering signal testing projects but also for the verification of other numerical and analytical methods. |
topic |
analytical solution forced torsional vibration integral transformations arbitrary boundary conditions |
url |
https://www.jvejournals.com/article/20938 |
work_keys_str_mv |
AT meilongchen exactforcedtorsionalvibrationsolutionofashaftwithmultiplediscontinuitiesandarbitraryboundaryconditions AT shuyingli exactforcedtorsionalvibrationsolutionofashaftwithmultiplediscontinuitiesandarbitraryboundaryconditions AT hongliangli exactforcedtorsionalvibrationsolutionofashaftwithmultiplediscontinuitiesandarbitraryboundaryconditions AT siyuanliu exactforcedtorsionalvibrationsolutionofashaftwithmultiplediscontinuitiesandarbitraryboundaryconditions |
_version_ |
1724642774674833408 |