Buckling analysis of functionally graded material (FGM) sandwich truncated conical shells reinforced by FGM stiffeners filled inside by elastic foundations

doi:10.1007/s10483-016-2097-9

Applied Mathematics and Mechanics (English Edition) ›› 2016, Vol. 37 ›› Issue (7): 879-902.doi: https://doi.org/10.1007/s10483-016-2097-9

Buckling analysis of functionally graded material (FGM) sandwich truncated conical shells reinforced by FGM stiffeners filled inside by elastic foundations

D. V. DUNG¹, L. K. HOA^1,2, B. T. THUYET³, N. T. NGA¹

1. Faculty of Mathematics, Mechanics and Informatics, Vietnam National University, Hanoi 100000, Vietnam;
2. Faculty of Basic Science, Military Logistic Academy, Hanoi 100000, Vietnam;
3. Faculty of Mining, Hanoi University of Mining and Geology, Hanoi 100000, Vietnam

收稿日期:2015-11-20 修回日期:2016-03-08 出版日期:2016-07-01 发布日期:2016-07-01
通讯作者: L. K. HOA E-mail:lekhahoa@gmail.com
基金资助:
Project supported by the Vietnam National Foundation for Science and Technology Development (No. 107.02-2015.11)

Buckling analysis of functionally graded material (FGM) sandwich truncated conical shells reinforced by FGM stiffeners filled inside by elastic foundations

D. V. DUNG¹, L. K. HOA^1,2, B. T. THUYET³, N. T. NGA¹

1. Faculty of Mathematics, Mechanics and Informatics, Vietnam National University, Hanoi 100000, Vietnam;
2. Faculty of Basic Science, Military Logistic Academy, Hanoi 100000, Vietnam;
3. Faculty of Mining, Hanoi University of Mining and Geology, Hanoi 100000, Vietnam

Received:2015-11-20 Revised:2016-03-08 Online:2016-07-01 Published:2016-07-01
Contact: L. K. HOA E-mail:lekhahoa@gmail.com
Supported by:
Project supported by the Vietnam National Foundation for Science and Technology Development (No. 107.02-2015.11)

摘要/Abstract

摘要：

An analytical solution for buckling of an eccentrically stiffened sandwich truncated conical shell is investigated. The shell consists of two functionally graded material (FGM) coating layers and a core layer which are metal or ceramic subjected to an axial compressive load and an external uniform pressure. Shells are reinforced by stringers and rings, in which the material properties of shells and stiffeners are graded in the thickness direction following a general sigmoid law distribution. Two models of coated shell-stiffener arrangements are investigated. The change of the spacing between stringers in the meridional direction is taken into account. A couple set of three-variablecoefficient partial differential equations in terms of displacement components are solved by the Galerkin method. A closed-form expression for determining the buckling load is obtained. The numerical examples are presented and compared with previous works.

关键词: sandwich truncated conical shell, elastic foundation, buckling analysis, stiffener, functionally graded material (FGM)

Abstract:

Key words: buckling analysis, sandwich truncated conical shell, functionally graded material (FGM), stiffener, elastic foundation

中图分类号:

D. V. DUNG, L. K. HOA, B. T. THUYET, N. T. NGA. Buckling analysis of functionally graded material (FGM) sandwich truncated conical shells reinforced by FGM stiffeners filled inside by elastic foundations[J]. Applied Mathematics and Mechanics (English Edition), 2016, 37(7): 879-902.

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Buckling analysis of functionally graded material (FGM) sandwich truncated conical shells reinforced by FGM stiffeners filled inside by elastic foundations

Buckling analysis of functionally graded material (FGM) sandwich truncated conical shells reinforced by FGM stiffeners filled inside by elastic foundations

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