A platform for research: civil engineering, architecture and urbanism
Constrained shell finite element method of modal buckling analysis for thin-walled members with curved cross-sections
Highlights Proposed and implemented a new constrained shell finite element method (cFEM) for curved sections. Derived the needed constraint matrices of each buckling mode class. Demonstrated and Validated the applicability of the developed cFEM with numerical examples. Provided the mechanical difference of local and distortional buckling modes of tube sections. Provided a practical solution of modal separation of sections with rounded corners.
Abstract The objective of this study is to develop a constrained shell finite element method (cFEM) for curved cross-sections based on a force-based approach and to enrich the elastic buckling analysis of these thin-walled members for a potentially broader engineering application. These curved thin-walled sections, with significant material efficiency, can experience very complex buckling behaviors that commonly exist for thin-walled members, namely global (G), local (L), and distortional (D) buckling. Given the limitations of the current constrained finite strip method (cFSM) and constrained finite element method for handling curved cross-sections, the cFEM method developed in this study provides a constrained approach to enable buckling mode separation for curved sections. This is a unified method not only applicable to curved sections, but also for straight wall sections. In this study, four criteria utilizing the displacement and force characteristics of modes are defined to separate these mode classes (i.e., G, D, and L). Constraint matrices of G, D, and L mode classes were then constructed and implemented based on the shell element formulations in ANSYS. Numerical examples are presented to demonstrate how the method’s capability in modal decomposition and identification can be applied to the stability analysis of thin-walled structural members, such as circular cylindrical tubes, elliptical cylindrical tubes, and open-branch lipped channel sections with and without rounded corners. All these numerical examples demonstrate the potential of the developed cFEM in advancing structural mechanics to provide an enriched structural analysis capability that can aid the design and enable broad applications of these members.
Constrained shell finite element method of modal buckling analysis for thin-walled members with curved cross-sections
Highlights Proposed and implemented a new constrained shell finite element method (cFEM) for curved sections. Derived the needed constraint matrices of each buckling mode class. Demonstrated and Validated the applicability of the developed cFEM with numerical examples. Provided the mechanical difference of local and distortional buckling modes of tube sections. Provided a practical solution of modal separation of sections with rounded corners.
Abstract The objective of this study is to develop a constrained shell finite element method (cFEM) for curved cross-sections based on a force-based approach and to enrich the elastic buckling analysis of these thin-walled members for a potentially broader engineering application. These curved thin-walled sections, with significant material efficiency, can experience very complex buckling behaviors that commonly exist for thin-walled members, namely global (G), local (L), and distortional (D) buckling. Given the limitations of the current constrained finite strip method (cFSM) and constrained finite element method for handling curved cross-sections, the cFEM method developed in this study provides a constrained approach to enable buckling mode separation for curved sections. This is a unified method not only applicable to curved sections, but also for straight wall sections. In this study, four criteria utilizing the displacement and force characteristics of modes are defined to separate these mode classes (i.e., G, D, and L). Constraint matrices of G, D, and L mode classes were then constructed and implemented based on the shell element formulations in ANSYS. Numerical examples are presented to demonstrate how the method’s capability in modal decomposition and identification can be applied to the stability analysis of thin-walled structural members, such as circular cylindrical tubes, elliptical cylindrical tubes, and open-branch lipped channel sections with and without rounded corners. All these numerical examples demonstrate the potential of the developed cFEM in advancing structural mechanics to provide an enriched structural analysis capability that can aid the design and enable broad applications of these members.
Constrained shell finite element method of modal buckling analysis for thin-walled members with curved cross-sections
Jin, Sheng (author) / Li, Zhanjie (author) / Gao, Teng (author) / Huang, Fang (author) / Gan, Dan (author) / Cheng, Rui (author)
Engineering Structures ; 240
2021-03-23
Article (Journal)
Electronic Resource
English
Buckling Analysis of Thin-Walled Members with Closed Cross Sections
Online Contents | 1995
|