Nonlinear analysis on dynamic buckling of eccentrically stiffened functionally graded material toroidal shell segment surrounded by elastic foundations in thermal environment and under time-dependent torsional loads

doi:10.1007/s10483-016-2099-9

Applied Mathematics and Mechanics (English Edition) ›› 2016, Vol. 37 ›› Issue (7): 835-860.doi: https://doi.org/10.1007/s10483-016-2099-9

Nonlinear analysis on dynamic buckling of eccentrically stiffened functionally graded material toroidal shell segment surrounded by elastic foundations in thermal environment and under time-dependent torsional loads

D. V. DUNG¹, P. M. VUONG²

1. Department of Mathematics, Mechanics and Informatics, Vietnam National University, Hanoi 100000, Vietnam;
2. Faculty of Civil and Industrial, National University of Civil Engineering, Hanoi 100000, Vietnam

收稿日期:2015-12-13 修回日期:2016-03-22 出版日期:2016-07-01 发布日期:2016-07-01
通讯作者: P. M. VUONG E-mail:phamminhvuongkhtn@gmail.com
基金资助:
Project supported by the Vietnam National Foundation for Science and Technology Development (No. 107.02-2015.11)

Nonlinear analysis on dynamic buckling of eccentrically stiffened functionally graded material toroidal shell segment surrounded by elastic foundations in thermal environment and under time-dependent torsional loads

D. V. DUNG¹, P. M. VUONG²

1. Department of Mathematics, Mechanics and Informatics, Vietnam National University, Hanoi 100000, Vietnam;
2. Faculty of Civil and Industrial, National University of Civil Engineering, Hanoi 100000, Vietnam

Received:2015-12-13 Revised:2016-03-22 Online:2016-07-01 Published:2016-07-01
Contact: P. M. VUONG E-mail:phamminhvuongkhtn@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：

The nonlinear analysis with an analytical approach on dynamic torsional buckling of stiffened functionally graded thin toroidal shell segments is investigated. The shell is reinforced by inside stiffeners and surrounded by elastic foundations in a thermal environment and under a time-dependent torsional load. The governing equations are derived based on the Donnell shell theory with the von Kármán geometrical nonlinearity, the Stein and McElman assumption, the smeared stiffeners technique, and the Galerkin method. A deflection function with three terms is chosen. The thermal parameters of the uniform temperature rise and nonlinear temperature conduction law are found in an explicit form. A closed-form expression for determining the static critical torsional load is obtained. A critical dynamic torsional load is found by the fourth-order Runge-Kutta method and the Budiansky-Roth criterion. The effects of stiffeners, foundations, material, and dimensional parameters on dynamic responses of shells are considered.

关键词: functionally graded material (FGM), stiffened shell, thermal environment, toroidal shell segment, critical static and dynamic torsional load

Abstract:

Key words: thermal environment, functionally graded material (FGM), stiffened shell, toroidal shell segment, critical static and dynamic torsional load

中图分类号:

D. V. DUNG, P. M. VUONG. Nonlinear analysis on dynamic buckling of eccentrically stiffened functionally graded material toroidal shell segment surrounded by elastic foundations in thermal environment and under time-dependent torsional loads[J]. Applied Mathematics and Mechanics (English Edition), 2016, 37(7): 835-860.

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Nonlinear analysis on dynamic buckling of eccentrically stiffened functionally graded material toroidal shell segment surrounded by elastic foundations in thermal environment and under time-dependent torsional loads

Nonlinear analysis on dynamic buckling of eccentrically stiffened functionally graded material toroidal shell segment surrounded by elastic foundations in thermal environment and under time-dependent torsional loads

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