Application of Adomian Modified Decomposition Method to Free Vibration Analysis of Rotating Beams
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-24
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The Adomian modified decomposition method (AMDM) is employed in this paper for dynamic analysis of a rotating Euler-Bernoulli beam under various boundary conditions.
Based on AMDM, the governing differential equation for the rotating beam becomes a recursive algebraic equation.
By using the boundary condition equations, the dimensionless natural frequencies and corresponding mode shapes can be easily obtained simultaneously.
The computed results for different boundary conditions as well as different offset length and rotational speeds are presented.
The accuracy is assured from the convergence and comparison published results.
It is shown that the AMDM offers an accurate and effective method of free vibration analysis of rotating beams with arbitrary boundary conditions.
American Psychological Association (APA)
Mao, Qibo. 2013. Application of Adomian Modified Decomposition Method to Free Vibration Analysis of Rotating Beams. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-1008917
Modern Language Association (MLA)
Mao, Qibo. Application of Adomian Modified Decomposition Method to Free Vibration Analysis of Rotating Beams. Mathematical Problems in Engineering No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-1008917
American Medical Association (AMA)
Mao, Qibo. Application of Adomian Modified Decomposition Method to Free Vibration Analysis of Rotating Beams. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-1008917
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1008917