Application of Laplace Transform to the Free Vibration of Continuous Beams
Laplace Transform is often used in solving the free vibration problems of structural beams. In existing research, there are two types of simplified models of continuous beam placement. The first is to regard the continuous beam as a single-span beam, the middle bearing of which is replaced by the be...
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doaj-d375de10237b46e0a1d21b68a43e43db2020-11-24T21:55:23ZengSciendoArchives of Civil Engineering1230-29452017-03-0163116318010.1515/ace-2017-0011ace-2017-0011Application of Laplace Transform to the Free Vibration of Continuous BeamsWen H.B.0Zeng T.1Hu G.Z.2College Mechanical Engineering, Sichuan University of Science & Engineering, Zigong, 643000, ChinaCollege Mechanical Engineering, Sichuan University of Science & Engineering, Zigong, 643000, ChinaCollege Mechanical Engineering, Sichuan University of Science & Engineering, Zigong, 643000, ChinaLaplace Transform is often used in solving the free vibration problems of structural beams. In existing research, there are two types of simplified models of continuous beam placement. The first is to regard the continuous beam as a single-span beam, the middle bearing of which is replaced by the bearing reaction force; the second is to divide the continuous beam into several simply supported beams, with the bending moment of the continuous beam at the middle bearing considered as the external force. Research shows that the second simplified model is incorrect, and the frequency equation derived from the first simplified model contains multiple expressions which might not be equivalent to each other. This paper specifies the application method of Laplace Transform in solving the free vibration problems of continuous beams, having great significance in the proper use of the transform method.http://www.degruyter.com/view/j/ace.2017.63.issue-1/ace-2017-0011/ace-2017-0011.xml?format=INTLaplace transformContinuous beamVibrationSegmented combination methodFrequency |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Wen H.B. Zeng T. Hu G.Z. |
spellingShingle |
Wen H.B. Zeng T. Hu G.Z. Application of Laplace Transform to the Free Vibration of Continuous Beams Archives of Civil Engineering Laplace transform Continuous beam Vibration Segmented combination method Frequency |
author_facet |
Wen H.B. Zeng T. Hu G.Z. |
author_sort |
Wen H.B. |
title |
Application of Laplace Transform to the Free Vibration of Continuous Beams |
title_short |
Application of Laplace Transform to the Free Vibration of Continuous Beams |
title_full |
Application of Laplace Transform to the Free Vibration of Continuous Beams |
title_fullStr |
Application of Laplace Transform to the Free Vibration of Continuous Beams |
title_full_unstemmed |
Application of Laplace Transform to the Free Vibration of Continuous Beams |
title_sort |
application of laplace transform to the free vibration of continuous beams |
publisher |
Sciendo |
series |
Archives of Civil Engineering |
issn |
1230-2945 |
publishDate |
2017-03-01 |
description |
Laplace Transform is often used in solving the free vibration problems of structural beams. In existing research, there are two types of simplified models of continuous beam placement. The first is to regard the continuous beam as a single-span beam, the middle bearing of which is replaced by the bearing reaction force; the second is to divide the continuous beam into several simply supported beams, with the bending moment of the continuous beam at the middle bearing considered as the external force. Research shows that the second simplified model is incorrect, and the frequency equation derived from the first simplified model contains multiple expressions which might not be equivalent to each other. This paper specifies the application method of Laplace Transform in solving the free vibration problems of continuous beams, having great significance in the proper use of the transform method. |
topic |
Laplace transform Continuous beam Vibration Segmented combination method Frequency |
url |
http://www.degruyter.com/view/j/ace.2017.63.issue-1/ace-2017-0011/ace-2017-0011.xml?format=INT |
work_keys_str_mv |
AT wenhb applicationoflaplacetransformtothefreevibrationofcontinuousbeams AT zengt applicationoflaplacetransformtothefreevibrationofcontinuousbeams AT hugz applicationoflaplacetransformtothefreevibrationofcontinuousbeams |
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1725863033768509440 |