A novel finite element for global and local buckling analysis of sandwich beams

2009 ◽  
Vol 90 (3) ◽  
pp. 270-278 ◽  
Author(s):  
Heng Hu ◽  
Salim Belouettar ◽  
Michel Potier-Ferry ◽  
Ahmed Makradi
Keyword(s):  
Finite Element ◽  
Local Buckling ◽  
Buckling Analysis ◽  
Sandwich Beams ◽  
Global And Local

Tripping Analysis and Design Consideration of Permanent Means of Access Structure

2011 ◽  
Author(s):  
Ming Ma ◽  
Beom-Seon Jang ◽  
Owen F. Hughes
Keyword(s):  
Finite Element ◽  
Design Space Exploration ◽  
Solution Process ◽  
Local Buckling ◽  
Extensive Study ◽  
Buckling Analysis ◽  
Element Analysis ◽  
Analysis And Design ◽  
Linear Buckling ◽  
Linear Buckling Analysis

An efficient Rayleigh-Ritz approach is presented for analyzing the lateral-torsional buckling (“tripping”) behavior of permanent means of access (PMA) structures. Tripping failure is dangerous and often occurs when a stiffener has a tall web plate. For ordinary stiffeners of short web plates, tripping usually occurs after plate local buckling and often happens in plastic range. Since PMA structures have a wide platform for a regular walk-through inspection, they are vulnerable to elastic tripping failure and may take place prior to plate local buckling. Based on an extensive study of finite element linear buckling analysis, a strain distribution is assumed for PMA platforms. The total potential energy functional, with a parametric expression of different supporting members (flat bar, T-stiffener and angle stiffener), is formulated, and the critical tripping stress is obtained using eigenvalue approach. The method offers advantages over commonly used finite element analysis because it is mesh-free and requires only five degrees of freedom; therefore the solution process is rapid and suitable for design space exploration. The numerical results are in agreement with NX NASTRAN [1] linear buckling analysis. Design recommendations are proposed based on extensive parametric studies.

scholarly journals Linearized global and local buckling analysis of sandwich struts with a refined quasi-3D model

2014 ◽  
Vol 226 (1) ◽  
pp. 81-101 ◽  
Author(s):  
Michele D’Ottavio ◽  
Olivier Polit
Keyword(s):  
3D Model ◽  
Local Buckling ◽  
Buckling Analysis ◽  
Global And Local

LOCAL AND INTERACTIVE POST-BUCKLING OF RHS THIN-WALLED MEMBERS — COMPARING A NEW SPECIAL BEAM FINITE ELEMENT WITH SHELL FE MODELS

2007 ◽  
Vol 07 (02) ◽  
pp. 213-241 ◽  
Author(s):  
HERVE DEGEE ◽  
NICOLAS BOISSONNADE ◽  
BARBARA ROSSI
Keyword(s):  
Finite Element ◽  
Local Buckling ◽  
Linear Analysis ◽  
Local Deformation ◽  
Theoretical Formulation ◽  
Non Linear ◽  
Beam Displacement ◽  
Post Buckling ◽  
Thin Walled ◽  
Global And Local

This paper presents a special thin-walled plane beam finite element that accounts for the in-plane cross-section local deformation. The element is based on the superposition of a classical beam displacement field and of an additional field describing local effects, with an approximation on the local second-order membrane stress field. The theoretical formulation is summarized and an application of the resulting numerical tool to the post-buckling analysis of RHS thin-walled members with moderate local and global slenderness susceptible to both global and local buckling is then performed. Different types of analyses are presented (computation of critical bifurcation loads, geometrically non-linear analysis, geometrically and materially non-linear analysis). The results obtained with the proposed beam finite element are compared to values provided by shell FE models.

Finite element bending analysis of symmetric and non-symmetric functionally graded sandwich beams using a novel parabolic shear deformation theory

2021 ◽  
pp. 146442072110050
Author(s):  
Mohamed-Ouejdi Belarbi ◽  
Abdelhak Khechai ◽  
Aicha Bessaim ◽  
Mohammed-Sid-Ahmed Houari ◽  
Aman Garg ◽  
...  
Keyword(s):  
Finite Element ◽  
Finite Element Model ◽  
Shear Deformation ◽  
Transverse Shear ◽  
Deformation Theory ◽  
Shear Deformation Theory ◽  
Element Model ◽  
Beam Element ◽  
Functionally Graded ◽  
Sandwich Beams

In this paper, the bending behavior of functionally graded single-layered, symmetric and non-symmetric sandwich beams is investigated according to a new higher order shear deformation theory. Based on this theory, a novel parabolic shear deformation function is developed and applied to investigate the bending response of sandwich beams with homogeneous hardcore and softcore. The present theory provides an accurate parabolic distribution of transverse shear stress across the thickness and satisfies the zero traction boundary conditions on the top and bottom surfaces of the functionally graded sandwich beam without using any shear correction factors. The governing equations derived herein are solved by employing the finite element method using a two-node beam element, developed for this purpose. The material properties of functionally graded sandwich beams are graded through the thickness according to the power-law distribution. The predictive capability of the proposed finite element model is demonstrated through illustrative examples. Four types of beam support, i.e. simply-simply, clamped-free, clamped–clamped, and clamped-simply, are used to study how the beam deflection and both axial and transverse shear stresses are affected by the variation of volume fraction index and beam length-to-height ratio. Results of the numerical analysis have been reported and compared with those available in the open literature to evaluate the accuracy and robustness of the proposed finite element model. The comparisons with other higher order shear deformation theories verify that the proposed beam element is accurate, presents fast rate of convergence to the reference results and it is also valid for both thin and thick functionally graded sandwich beams. Further, some new results are reported in the current study, which will serve as a benchmark for future research.

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