Buckling of thin-walled structures through a higher order beam model

2017 ◽  
Vol 180 ◽  
pp. 104-116 ◽  
Author(s):  
R.F. Vieira ◽  
F.B.E. Virtuoso ◽  
E.B.R. Pereira
Keyword(s):  
Higher Order ◽  
Beam Model ◽  
Thin Walled Structures ◽  
Thin Walled

scholarly journals A Simplified Approach to Identify Sectional Deformation Modes of Thin-Walled Beams with Prismatic Cross-Sections

2018 ◽  
Vol 8 (10) ◽  
pp. 1847 ◽  
Author(s):  
Lei Zhang ◽  
Weidong Zhu ◽  
Aimin Ji ◽  
Liping Peng
Keyword(s):  
Cross Sections ◽  
Three Dimensional ◽  
Higher Order ◽  
Basis Functions ◽  
Beam Model ◽  
Linear Superposition ◽  
Simplified Approach ◽  
Thin Walled Structures ◽  
Thin Walled ◽  
Deformation Modes

In this paper, a simplified approach to identify sectional deformation modes of prismatic cross-sections is presented and utilized in the establishment of a higher-order beam model for the dynamic analyses of thin-walled structures. The model considers the displacement field through a linear superposition of a set of basis functions whose amplitudes vary along the beam axis. These basis functions, which describe basis deformation modes, are approximated from nodal displacements on the discretized cross-section midline, with interpolation polynomials. Their amplitudes acting in the object vibration shapes are extracted through a modal analysis. A procedure similar to combining like terms is then implemented to superpose basis deformation modes, with equal or opposite amplitude, to produce primary deformation modes. The final set of the sectional deformation modes are assembled with primary deformation modes, excluding the ones constituting conventional modes. The derived sectional deformation modes, hierarchically organized and physically meaningful, are used to update the basis functions in the higher-order beam model. Numerical examples have also been presented and the comparison with ANSYS shell model showed its accuracy, efficiency, and applicability in reproducing three-dimensional behaviors of thin-walled structures.

Definition of warping modes within the context of a higher order thin-walled beam model

2015 ◽  
Vol 147 ◽  
pp. 68-78 ◽  
Author(s):  
R.F. Vieira ◽  
F.B.E. Virtuoso ◽  
E.B.R. Pereira
Keyword(s):  
Higher Order ◽  
Beam Model ◽  
Thin Walled ◽  
Definition Of

A higher order thin-walled beam model including warping and shear modes

2013 ◽  
Vol 66 ◽  
pp. 67-82 ◽  
Author(s):  
R.F. Vieira ◽  
F.B.E. Virtuoso ◽  
E.B.R. Pereira
Keyword(s):  
Higher Order ◽  
Beam Model ◽  
Shear Modes ◽  
Thin Walled

scholarly journals On the role of large cross-sectional deformations in the nonlinear analysis of composite thin-walled structures

2020 ◽  
Author(s):  
E. Carrera ◽  
A. Pagani ◽  
R. Augello
Keyword(s):  
Composite Structures ◽  
Laminated Composite ◽  
Nonlinear Effects ◽  
Higher Order ◽  
Cross Sectional ◽  
Thin Walled Structures ◽  
Static Responses ◽  
Geometrical Nonlinear ◽  
Thin Walled ◽  
The Cross

AbstractThe geometrical nonlinear effects caused by large displacements and rotations over the cross section of composite thin-walled structures are investigated in this work. The geometrical nonlinear equations are solved within the finite element method framework, adopting the Newton–Raphson scheme and an arc-length method. Inherently, to investigate cross-sectional nonlinear kinematics, low- to higher-order theories are employed by using the Carrera unified formulation, which provides a tool to generate refined theories of structures in a systematic manner. In particular, beams and shell-like laminated composite structures are analyzed using a layerwise approach, according to which each layer has its own independent kinematics. Different stacking sequences are analyzed, to highlight the influence of the cross-ply angle on the static responses. The results show that the geometrical nonlinear effects play a crucial role, mainly when higher-order theories are utilized.

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