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An Edge-Based Smoothed Finite Element for Free Vibration Analysis of Functionally Graded Porous (FGP) Plates on Elastic Foundation Taking into Mass (EFTIM)
Joint Authors
Tran, Trung Thanh
Pham, Quoc Hoa
Nguyen-Thoi, Trung
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-04-25
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
In this paper, free vibration analysis of the functionally graded porous (FGP) plates on the elastic foundation taking into mass (EFTIM) is presented.
The fundamental equations of the FGP plate are derived using Hamilton’s principle.
The mixed interpolation of the tensorial components (MITC) approach and the edge-based smoothed finite element method (ES-FEM) is employed to avoid the shear locking as well as to improve the accuracy for the triangular element.
The EFTIM is a foundation model based on the two-parameter Winkler–Pasternak model but added a mass parameter of foundation.
Materials of the plate are FGP with a power-law distribution and maximum porosity distributions in the forms of cosine functions.
Some numerical examples are examined to demonstrate the accuracy and reliability of the proposed method in comparison with those available in the literature.
American Psychological Association (APA)
Tran, Trung Thanh& Pham, Quoc Hoa& Nguyen-Thoi, Trung. 2020. An Edge-Based Smoothed Finite Element for Free Vibration Analysis of Functionally Graded Porous (FGP) Plates on Elastic Foundation Taking into Mass (EFTIM). Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-17.
https://search.emarefa.net/detail/BIM-1201003
Modern Language Association (MLA)
Tran, Trung Thanh…[et al.]. An Edge-Based Smoothed Finite Element for Free Vibration Analysis of Functionally Graded Porous (FGP) Plates on Elastic Foundation Taking into Mass (EFTIM). Mathematical Problems in Engineering No. 2020 (2020), pp.1-17.
https://search.emarefa.net/detail/BIM-1201003
American Medical Association (AMA)
Tran, Trung Thanh& Pham, Quoc Hoa& Nguyen-Thoi, Trung. An Edge-Based Smoothed Finite Element for Free Vibration Analysis of Functionally Graded Porous (FGP) Plates on Elastic Foundation Taking into Mass (EFTIM). Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-17.
https://search.emarefa.net/detail/BIM-1201003
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1201003