Thermoelastic Coupling Vibration and Stability Analysis of Rotating Annular Sector Plates
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-03-05
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
This study investigates the thermoelastic coupling vibration and stability of rotating annular sector plates.
Based on Hamilton’s principle and thermal conduction equation with deformation effect, the differential equation of transverse vibration for a rotating annular sector plate is established.
The differential equation of vibration and corresponding boundary conditions are discretized by the differential quadrature method.
Then, the thermoelastic coupling transverse vibrations under three different boundary conditions are calculated.
The change curve of the first three order dimensionless complex frequencies of the rotating annular sector plate with the dimensionless angular speed are analyzed in the case of the thermoelastic coupling and uncoupling.
The effects of the dimensionless angular speed, the ratio of inner to outer radius, the sector angle, and the dimensionless thermoelastic coupling coefficient on transverse vibration and stability of the annular sector plate are discussed.
Finally, we obtained the type of instability and corresponding critical speed of the rotating annular sector plate in the case of the thermoelastic coupling and uncoupling.
American Psychological Association (APA)
Yang, Yongqiang& Wang, Zhongmin. 2019. Thermoelastic Coupling Vibration and Stability Analysis of Rotating Annular Sector Plates. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-18.
https://search.emarefa.net/detail/BIM-1197731
Modern Language Association (MLA)
Yang, Yongqiang& Wang, Zhongmin. Thermoelastic Coupling Vibration and Stability Analysis of Rotating Annular Sector Plates. Mathematical Problems in Engineering No. 2019 (2019), pp.1-18.
https://search.emarefa.net/detail/BIM-1197731
American Medical Association (AMA)
Yang, Yongqiang& Wang, Zhongmin. Thermoelastic Coupling Vibration and Stability Analysis of Rotating Annular Sector Plates. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-18.
https://search.emarefa.net/detail/BIM-1197731
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1197731