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Constrained shell finite element method for elastic buckling analysis of thin-walled members
Abstract The objective of this paper is to develop a constrained shell Finite Element Method (cFEM) based on a force approach for elastic buckling analysis of thin-walled members. The new cFEM is able to separate the general deformation of thin-walled members into the three fundamental deformation mode classes, namely Global (G), Distortional (D), and Local (L), to enable the modal decomposition and identification. In this paper, four force-based mechanical criteria are defined to separate these mode classes. These mechanical criteria are implemented with the general shell finite element formulation without any special treatment of the element formulation. The constraint matrices of the G, D, and L mode classes are then constructed. Numerical examples are presented to demonstrate the capabilities of the new cFEM in modal decomposition and identification. In particular, the modal decomposition and identification results are compared with the cFSM solutions. Applicability of the new cFEM to other shell FE formulation and different loading conditions are illustrated. All these numerical examples demonstrate the potential of the developed cFEM in taking advantages of the modeling capability of the existing shell FE method.
Highlights Proposed and implemented a new constrained shell finite element method (cFEM). Derived the needed constraint matrices of each buckling mode class. Validated the applicability of the developed cFEM with existing method such as constrained Finite Strip Method (cFSM). Demonstrated the feasibility of the development cFEM for various loading conditions. Highlighted the excellent adoptability of the cFEM with general shell element formulations.
Constrained shell finite element method for elastic buckling analysis of thin-walled members
Abstract The objective of this paper is to develop a constrained shell Finite Element Method (cFEM) based on a force approach for elastic buckling analysis of thin-walled members. The new cFEM is able to separate the general deformation of thin-walled members into the three fundamental deformation mode classes, namely Global (G), Distortional (D), and Local (L), to enable the modal decomposition and identification. In this paper, four force-based mechanical criteria are defined to separate these mode classes. These mechanical criteria are implemented with the general shell finite element formulation without any special treatment of the element formulation. The constraint matrices of the G, D, and L mode classes are then constructed. Numerical examples are presented to demonstrate the capabilities of the new cFEM in modal decomposition and identification. In particular, the modal decomposition and identification results are compared with the cFSM solutions. Applicability of the new cFEM to other shell FE formulation and different loading conditions are illustrated. All these numerical examples demonstrate the potential of the developed cFEM in taking advantages of the modeling capability of the existing shell FE method.
Highlights Proposed and implemented a new constrained shell finite element method (cFEM). Derived the needed constraint matrices of each buckling mode class. Validated the applicability of the developed cFEM with existing method such as constrained Finite Strip Method (cFSM). Demonstrated the feasibility of the development cFEM for various loading conditions. Highlighted the excellent adoptability of the cFEM with general shell element formulations.
Constrained shell finite element method for elastic buckling analysis of thin-walled members
Jin, Sheng (author) / Li, Zhanjie (author) / Huang, Fang (author) / Gan, Dan (author) / Cheng, Rui (author) / Deng, Gaofeng (author)
Thin-Walled Structures ; 145
2019-09-16
Article (Journal)
Electronic Resource
English
Shell element for constrained finite element analysis of thin-walled structural members
Online Contents | 2016
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