Transverse Vibration of Axially Moving Functionally Graded Materials Based on Timoshenko Beam Theory
Joint Authors
Sui, Suihan
Chen, Ling
Li, Cheng
Liu, Xinpei
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-06-25
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The transverse free vibration of an axially moving beam made of functionally graded materials (FGM) is investigated using a Timoshenko beam theory.
Natural frequencies, vibration modes, and critical speeds of such axially moving systems are determined and discussed in detail.
The material properties are assumed to vary continuously through the thickness of the beam according to a power law distribution.
Hamilton’s principle is employed to derive the governing equation and a complex mode approach is utilized to obtain the transverse dynamical behaviors including the vibration modes and natural frequencies.
Effects of the axially moving speed and the power-law exponent on the dynamic responses are examined.
Some numerical examples are presented to reveal the differences of natural frequencies for Timoshenko beam model and Euler beam model.
Moreover, the critical speed is determined numerically to indicate its variation with respect to the power-law exponent, axial initial stress, and length to thickness ratio.
American Psychological Association (APA)
Sui, Suihan& Chen, Ling& Li, Cheng& Liu, Xinpei. 2015. Transverse Vibration of Axially Moving Functionally Graded Materials Based on Timoshenko Beam Theory. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1073720
Modern Language Association (MLA)
Sui, Suihan…[et al.]. Transverse Vibration of Axially Moving Functionally Graded Materials Based on Timoshenko Beam Theory. Mathematical Problems in Engineering No. 2015 (2015), pp.1-9.
https://search.emarefa.net/detail/BIM-1073720
American Medical Association (AMA)
Sui, Suihan& Chen, Ling& Li, Cheng& Liu, Xinpei. Transverse Vibration of Axially Moving Functionally Graded Materials Based on Timoshenko Beam Theory. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1073720
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073720