Constrained shell finite element method of modal buckling analysis for thin-walled members with curved cross-sections

2021 ◽  
Vol 240 ◽  
pp. 112281
Author(s):  
Sheng Jin ◽  
Zhanjie Li ◽  
Teng Gao ◽  
Fang Huang ◽  
Dan Gan ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Cross Sections ◽  
Buckling Analysis ◽  
Thin Walled ◽  
Shell Finite Element ◽  
Element Method

Constrained shell finite element method for elastic buckling analysis of thin-walled members

2019 ◽  
Vol 145 ◽  
pp. 106409 ◽  
Author(s):  
Sheng Jin ◽  
Zhanjie Li ◽  
Fang Huang ◽  
Dan Gan ◽  
Rui Cheng ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Buckling Analysis ◽  
Elastic Buckling ◽  
Thin Walled ◽  
Shell Finite Element ◽  
Element Method

BUCKLING ANALYSIS OF PLANAR FRAMEWORKS USING THE QUADRATURE ELEMENT METHOD

2011 ◽  
Vol 11 (02) ◽  
pp. 363-378 ◽  
Author(s):  
H. ZHONG ◽  
R. ZHANG ◽  
H. YU
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Cross Sections ◽  
Computational Efficiency ◽  
Variational Formulation ◽  
Weak Form ◽  
Buckling Analysis ◽  
The Finite Element Method ◽  
Quadrature Element Method ◽  
Element Method

The recently proposed weak form quadrature element method (QEM) is applied to the buckling analysis of planar frameworks. This method starts with approximation of the integrands in the weak form description (variational formulation) of a problem. Neither the nodes nor the number of nodes in a quadrature element is fixed, being adjustable according to convergence need. Examples are presented and comparison with the results of the finite element method is made to demonstrate the effectiveness and computational efficiency of the QEM. It is shown that the QEM is suitable for buckling analysis of planar frameworks with either varying or constant cross sections.

Post-buckling inelastic analysis of thin-walled metal members using the Generalised Beam Theory

2019 ◽  
Author(s):  
Miguel Abambres ◽  
Dinar Camotim ◽  
Miguel Abambres
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Beam Theory ◽  
Flow Theory ◽  
Promising Alternative ◽  
Inelastic Analysis ◽  
Post Buckling ◽  
Thin Walled ◽  
Shell Finite Element ◽  
Generalised Beam Theory

A 2nd order inelastic Generalised Beam Theory (GBT) formulation based on the J2 flow theory is proposed, being a promising alternative to the shell finite element method. Its application is illustrated for an I-section beam and a lipped-C column. GBT results were validated against ABAQUS, namely concerning equilibrium paths, deformed configurations, and displacement profiles. It was concluded that the GBT modal nature allows (i) precise results with only 22% of the number of dof required in ABAQUS, as well as (ii) the understanding (by means of modal participation diagrams) of the behavioral mechanics in any elastoplastic stage of member deformation .

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