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Transverse Free Vibration of Axially Moving Stepped Beam with Different Length and Tip Mass
Joint Authors
Ma, Guoliang
Xu, Minglong
Chen, Liqun
An, Zengyong
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-11-10
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Axially moving stepped beam (AMSB) with different length and tip mass is represented by adopting Euler-Bernoulli beam theory, and its characteristics and displacements of transverse free vibration are calculated by using semianalytical method.
Firstly, the governing equation of the transverse free vibration is established based on Hamilton’s principle.
The equation is cast into eigenvalue equation through the complex modal analysis.
Then, a scheme is proposed to derive the continuous condition accordingly as the displacement, rotation, bending moment, and shear force are all equal at the connections of any two segments.
Another scheme is to derive frequency equation from the given boundary conditions which contain a tip mass in the last segment.
Finally, the natural frequency and modal function are calculated by using numerical method according to the eigenvalue equation and frequency equation.
Due to the introduction of modal truncation, displacement and, the free vibration solution can be obtained by adopting modal superposition after Hilbert transform.
The numerical examples illustrate that length, velocity, mass, and geometry affect characteristics and displacements significantly; the series of methods are effective and accurate to investigate the vibration of the AMSB with different length and tip mass after comparing several results.
American Psychological Association (APA)
Ma, Guoliang& Xu, Minglong& Chen, Liqun& An, Zengyong. 2015. Transverse Free Vibration of Axially Moving Stepped Beam with Different Length and Tip Mass. Shock and Vibration،Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1078184
Modern Language Association (MLA)
Ma, Guoliang…[et al.]. Transverse Free Vibration of Axially Moving Stepped Beam with Different Length and Tip Mass. Shock and Vibration No. 2015 (2015), pp.1-11.
https://search.emarefa.net/detail/BIM-1078184
American Medical Association (AMA)
Ma, Guoliang& Xu, Minglong& Chen, Liqun& An, Zengyong. Transverse Free Vibration of Axially Moving Stepped Beam with Different Length and Tip Mass. Shock and Vibration. 2015. Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1078184
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1078184