An Improved Analytical Method for Vibration Analysis of Variable Section Beam
Joint Authors
Hao, Shuying
Feng, Jingjing
Chen, Zhengneng
Zhang, Kunpeng
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-08-17
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
The variable section structure could be the physical model of many vibration problems, and its analysis becomes more complicated either.
It is very important to know how to obtain the exact solution of the modal function and the natural frequency effectively.
In this paper, a general analytical method, based on segmentation view and iteration calculation, is proposed to obtain the modal function and natural frequency of the beam with an arbitrary variable section.
In the calculation, the section function of the beam is considered as an arbitrary function directly, and then the result is obtained by the proposed method that could have high precision.
In addition, the total amount of calculation caused by high-order Taylor expansion is reduced greatly by comparing with the original Adomian decomposition method (ADM).
Several examples of the typical beam with different variable sections are calculated to show the excellent calculation accuracy and convergence of the proposed method.
The correctness and effectiveness of the proposed method are verified also by comparing the results of the several kinds of the theoretical method, finite element simulation, and experimental method.
American Psychological Association (APA)
Feng, Jingjing& Chen, Zhengneng& Hao, Shuying& Zhang, Kunpeng. 2020. An Improved Analytical Method for Vibration Analysis of Variable Section Beam. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1194556
Modern Language Association (MLA)
Feng, Jingjing…[et al.]. An Improved Analytical Method for Vibration Analysis of Variable Section Beam. Mathematical Problems in Engineering No. 2020 (2020), pp.1-11.
https://search.emarefa.net/detail/BIM-1194556
American Medical Association (AMA)
Feng, Jingjing& Chen, Zhengneng& Hao, Shuying& Zhang, Kunpeng. An Improved Analytical Method for Vibration Analysis of Variable Section Beam. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1194556
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1194556