Nonlinear stability of functionally graded material (FGM) sandwich cylindrical shells reinforced by FGM stiffeners in thermal environment

doi:10.1007/s10483-017-2198-9

Applied Mathematics and Mechanics (English Edition) ›› 2017, Vol. 38 ›› Issue (5): 647-670.doi: https://doi.org/10.1007/s10483-017-2198-9

Nonlinear stability of functionally graded material (FGM) sandwich cylindrical shells reinforced by FGM stiffeners in thermal environment

D. V. DUNG¹, N. T. NGA¹, L. K. HOA²

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

收稿日期:2016-11-16 修回日期:2016-12-28 出版日期:2017-05-01 发布日期:2017-05-01
通讯作者: N. T. NGA E-mail:nguyennga282@gmail.com
基金资助:
Project supported by the Vietnam National Foundation for Science and Technology Development (No. 107.02-2015.11)

Nonlinear stability of functionally graded material (FGM) sandwich cylindrical shells reinforced by FGM stiffeners in thermal environment

D. V. DUNG¹, N. T. NGA¹, L. K. HOA²

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

Received:2016-11-16 Revised:2016-12-28 Online:2017-05-01 Published:2017-05-01
Contact: N. T. NGA E-mail:nguyennga282@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：

In this paper, Donnell's shell theory and smeared stiffeners technique are improved to analyze the postbuckling and buckling behaviors of circular cylindrical shells of stiffened thin functionally graded material (FGM) sandwich under an axial loading on elastic foundations, and the shells are considered in a thermal environment. The shells are stiffened by FGM rings and stringers. A general sigmoid law and a general power law are proposed. Thermal elements of the shells and reinforcement stiffeners are considered. Explicit expressions to find critical loads and postbuckling load-deflection curves are obtained by applying the Galerkin method and choosing the three-term approximate solution of deflection. Numerical results show various effects of temperature, elastic foundation, stiffeners, material and geometrical properties, and the ratio between face sheet thickness and total thickness on the nonlinear behavior of shells.

关键词: variational principle, non-holonomic system, stationary action, analytical dynamics, functionally graded material (FGM), stiffened cylindrical shell, thermal environment, sandwich

Abstract:

Key words: variational principle, non-holonomic system, stationary action, analytical dynamics, thermal environment, functionally graded material (FGM), stiffened cylindrical shell, sandwich

中图分类号:

O344.3

D. V. DUNG, N. T. NGA, L. K. HOA. Nonlinear stability of functionally graded material (FGM) sandwich cylindrical shells reinforced by FGM stiffeners in thermal environment[J]. Applied Mathematics and Mechanics (English Edition), 2017, 38(5): 647-670.

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Nonlinear stability of functionally graded material (FGM) sandwich cylindrical shells reinforced by FGM stiffeners in thermal environment

Nonlinear stability of functionally graded material (FGM) sandwich cylindrical shells reinforced by FGM stiffeners in thermal environment

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