Buckling Sensitivity Analysis of Thin-Walled Structures using Shell Finite Elements and Nonlinear Computational Methods

2009 ◽  
Author(s):  
Z. Kala ◽  
J. Kala
Keyword(s):  
Sensitivity Analysis ◽  
Finite Elements ◽  
Computational Methods ◽  
Thin Walled Structures ◽  
Thin Walled

scholarly journals Large deflection and post-buckling of thin-walled structures by finite elements with node-dependent kinematics

2020 ◽  
Author(s):  
E. Carrera ◽  
◽  
A. Pagani ◽  
R. Augello
Keyword(s):  
Finite Elements ◽  
Large Deflection ◽  
Nonlinear Problems ◽  
Structural Domain ◽  
Fe Model ◽  
Efficient Manner ◽  
Cross Sectional ◽  
Thin Walled Structures ◽  
Post Buckling ◽  
Thin Walled

AbstractIn the framework of finite elements (FEs) applications, this paper proposes the use of the node-dependent kinematics (NDK) concept to the large deflection and post-buckling analysis of thin-walled metallic one-dimensional (1D) structures. Thin-walled structures could easily exhibit local phenomena which would require refinement of the kinematics in parts of them. This fact is particularly true whenever these thin structures undergo large deflection and post-buckling. FEs with kinematics uniform in each node could prove inappropriate or computationally expensive to solve these locally dependent deformations. The concept of NDK allows kinematics to be independent in each element node; therefore, the theory of structures changes continuously over the structural domain. NDK has been successfully applied to solve linear problems by the authors in previous works. It is herein extended to analyze in a computationally efficient manner nonlinear problems of beam-like structures. The unified 1D FE model in the framework of the Carrera Unified Formulation (CUF) is referred to. CUF allows introducing, at the node level, any theory/kinematics for the evaluation of the cross-sectional deformations of the thin-walled beam. A total Lagrangian formulation along with full Green–Lagrange strains and 2nd Piola Kirchhoff stresses are used. The resulting geometrical nonlinear equations are solved with the Newton–Raphson linearization and the arc-length type constraint. Thin-walled metallic structures are analyzed, with symmetric and asymmetric C-sections, subjected to transverse and compression loadings. Results show how FE models with NDK behave as well as their convenience with respect to the classical FE analysis with the same kinematics for the whole nodes. In particular, zones which undergo remarkable deformations demand high-order theories of structures, whereas a lower-order theory can be employed if no local phenomena occur: this is easily accomplished by NDK analysis. Remarkable advantages are shown in the analysis of thin-walled structures with transverse stiffeners.

Comparisons between 1D (Beam) and 2D (Plate/Shell) Finite Elements to Analyze Thin Walled Structures

2014 ◽  
Vol 93 (1-2) ◽  
pp. 3-16 ◽  
Author(s):  
E. Carrera ◽  
M. Cinefra ◽  
M. Petrolo ◽  
E. Zappino
Keyword(s):  
Finite Elements ◽  
Thin Walled Structures ◽  
Thin Walled

scholarly journals Models and Finite Elements for Thin-Walled Structures

2004 ◽  
Author(s):  
M. Bischoff ◽  
K.-U. Bletzinger ◽  
W. A. Wall ◽  
E. Ramm
Keyword(s):  
Finite Elements ◽  
Thin Walled Structures ◽  
Thin Walled

Structural Sensitivity Analysis in Eigenvalue Problems Using Finite Strip Method

1994 ◽  
Author(s):  
Andrzej Garstecki ◽  
Witold Kakol
Keyword(s):  
Sensitivity Analysis ◽  
Eigenvalue Problems ◽  
Structural Sensitivity ◽  
Finite Strip ◽  
Strip Method ◽  
Thin Walled Structures ◽  
Finite Strip Method ◽  
Structural Sensitivity Analysis ◽  
Thin Walled ◽  
Methods Numerical

Abstract Structural Sensitivity Analysis is performed using the direct differentiation method for buckling and free vibration problems of prismatic thin-walled structures employing the Finite Strip Method. The sensitivity of eigenvalues (critical stresses and free frequencies) with respect to variation of thickness of plate members and with respect to shape-type variations is considered. The differentiation is carried out employing analytical and semi-analytical methods. Numerical examples illustrate the sensitivity of thin-walled plates stiffened with ribs and thin-walled beams. The examples also serve for discussion of numerical efficiency and accuracy of the presented methods.

scholarly journals Blade cutting of thin walled structures by explicit dynamics finite elements

Meccanica ◽  
2017 ◽  
Vol 53 (6) ◽  
pp. 1271-1289 ◽  
Author(s):  
Federica Confalonieri ◽  
Aldo Ghisi ◽  
Umberto Perego
Keyword(s):  
Finite Elements ◽  
Explicit Dynamics ◽  
Thin Walled Structures ◽  
Thin Walled ◽  
Blade Cutting
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