Hybrid Finite Element Formulation for Geometrically Nonlinear Buckling Analysis of Truss System Under Mechanical and Thermal Load

2021 ◽  
pp. 280-289
Author(s):  
Vu Thi Bich Quyen ◽  
Dao Ngoc Tien ◽  
Tran Thi Thuy Van
Keyword(s):  
Finite Element ◽  
Thermal Load ◽  
Buckling Analysis ◽  
Finite Element Formulation ◽  
Element Formulation ◽  
Geometrically Nonlinear ◽  
Nonlinear Buckling ◽  
Hybrid Finite Element ◽  
Nonlinear Buckling Analysis

Shear-deformable hybrid finite-element formulation for lateral-torsional buckling analysis of composite thin-walled members

2020 ◽  
Author(s):  
Emre Erkmen ◽  
Vida Niki ◽  
Ashkan Afnani
Keyword(s):  
Finite Element ◽  
Beam Theory ◽  
Buckling Analysis ◽  
Finite Element Formulation ◽  
Element Formulation ◽  
Lateral Torsional Buckling ◽  
Torsional Buckling ◽  
Hybrid Finite Element ◽  
Thin Walled ◽  
Shear Deformable

A shear deformable hybrid finite element formulation is developed for the lateral-torsional buckling analysis of fiber-reinforced composite thin-walled members with open cross-section. The method is developed by using the Hellinger-Reissner functional. Comparison to the displacement-based formulations the current hybrid formulation has the advantage of incorporating the shear deformation effects easily by using the strain energy of the shear stress field without modifying the basic kinematic assumptions of the thin-walled beam theory. Numerical results are validated through comparisons with results based on other formulations presented in the literature. Examples illustrate the effects of shear deformations and stacking sequence of the composite layers in predicting bucking loads.

scholarly journals Shear deformable hybrid finite element formulation for buckling analysis of composite columns

2018 ◽  
Vol 45 (4) ◽  
pp. 279-288
Author(s):  
Vida Niki ◽  
R. Emre Erkmen
Keyword(s):  
Finite Element ◽  
Shear Stress ◽  
Shear Deformation ◽  
Cross Sections ◽  
Buckling Analysis ◽  
Finite Element Formulation ◽  
Element Formulation ◽  
Composite Columns ◽  
Hybrid Finite Element ◽  
Shear Deformable

The objective of this study is to develop a shear deformable hybrid finite element formulation for the flexural buckling analysis of fiber-reinforced laminate composite columns with doubly symmetric cross sections. The hybrid finite element formulation is developed by using the Hellinger-Reissner functional which is obtained by introducing the conditions of compatibility as auxiliary conditions to the potential energy functional. The shear deformation effects due to bending are included by equilibrating shear stress. In comparison to the displacement-based formulations the current hybrid formulation has the advantage of incorporating the shear deformation effects easily by using the strain energy of the shear stress field without modifying the basic kinematic assumptions of the beam theory. The agreement with Engesser formulation for flexural buckling analysis of columns with shear-weak cross sections shows the applicability and accuracy of the current hybrid finite element method for composite structural elements. The applicability of the developed method herein to sandwich and built-up columns are also illustrated.

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