Vibration of Elastic Functionally Graded Thick Rings
Joint Authors
Xu, Guang-Hui
Huang, Huai-Wei
Zhang, Yong-Qiang
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-02-16
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
The free vibration behaviors of functionally graded rings were investigated theoretically.
The material graded in the thickness direction according to the power law rule and the rings were assumed to be in plane stress and plane strain states.
Based on the first-order shear deformation theory and the kinetic relation of von Kárman type, the frequency equation for free vibration of functionally graded ring was derived.
The derived results were verified by those in literatures which reveals that the present theory can be appropriate to predict the free vibration characteristics for quite thick rings with the radius-to-thickness ratio from 60 down to 2.09.
Comparison between the plane stress case and the plane strain case indicates a slight difference.
Meanwhile, the effects of the structural dimensional parameters and the material inhomogeneous parameter are examined.
It is interesting that the value of the logarithmic form of vibration frequency is inversely proportional to the logarithmic form of the radius-to-thickness ratio or the mean radius.
American Psychological Association (APA)
Xu, Guang-Hui& Huang, Huai-Wei& Zhang, Yong-Qiang. 2017. Vibration of Elastic Functionally Graded Thick Rings. Shock and Vibration،Vol. 2017, no. 2017, pp.1-7.
https://search.emarefa.net/detail/BIM-1204028
Modern Language Association (MLA)
Xu, Guang-Hui…[et al.]. Vibration of Elastic Functionally Graded Thick Rings. Shock and Vibration No. 2017 (2017), pp.1-7.
https://search.emarefa.net/detail/BIM-1204028
American Medical Association (AMA)
Xu, Guang-Hui& Huang, Huai-Wei& Zhang, Yong-Qiang. Vibration of Elastic Functionally Graded Thick Rings. Shock and Vibration. 2017. Vol. 2017, no. 2017, pp.1-7.
https://search.emarefa.net/detail/BIM-1204028
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1204028