Free Vibration of Functionally Graded Sandwich Shallow Shells on Winkler and Pasternak Foundations with General Boundary Restraints
Joint Authors
Wang, Xiancheng
Li, Wei
Yao, Jianjun
Wan, Zhenshuai
Fu, Yu
Sheng, Tang
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-03-13
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
In this investigation, an exact method based on the first-order shear deformation shallow shell theory (FSDSST) is performed for the free vibration of functionally graded sandwich shallow shells (FGSSS) on Winkler and Pasternak foundations with general boundary restraints.
Vibration characteristics of the FGSSS have been obtained by the energy function represented in the orthogonal coordinates, in which the displacement and rotation components consisted of standard double Fourier cosine series and several closed-form supplementary functions are introduced to eliminate the potential jumps and boundary discontinuities.
Then, the expansion coefficients are determined by using Rayleigh-Ritz method.
The proposed method shows good accuracy and reliability by comprehensive investigation concerning free vibration of the FGSSS.
Numerous new vibration results for FGSSS on Winkler and Pasternak foundations with various curvature types, geometrical parameters, and boundary restraints are provided, which may serve as benchmark solutions for future research.
In addition, the effects of the inertia, shear deformation, and foundation coefficients on free vibration characteristic of FGSSS are illustrated.
American Psychological Association (APA)
Wang, Xiancheng& Li, Wei& Yao, Jianjun& Wan, Zhenshuai& Fu, Yu& Sheng, Tang. 2019. Free Vibration of Functionally Graded Sandwich Shallow Shells on Winkler and Pasternak Foundations with General Boundary Restraints. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-19.
https://search.emarefa.net/detail/BIM-1197067
Modern Language Association (MLA)
Wang, Xiancheng…[et al.]. Free Vibration of Functionally Graded Sandwich Shallow Shells on Winkler and Pasternak Foundations with General Boundary Restraints. Mathematical Problems in Engineering No. 2019 (2019), pp.1-19.
https://search.emarefa.net/detail/BIM-1197067
American Medical Association (AMA)
Wang, Xiancheng& Li, Wei& Yao, Jianjun& Wan, Zhenshuai& Fu, Yu& Sheng, Tang. Free Vibration of Functionally Graded Sandwich Shallow Shells on Winkler and Pasternak Foundations with General Boundary Restraints. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-19.
https://search.emarefa.net/detail/BIM-1197067
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1197067