The ‘panel analysis’ technique in the computational study of axisymmetric thin-walled shell systems

Autor: Petrina Constantinou, Adam J. Sadowski, Ludovica Pototschnig
Rok vydání: 2018
Předmět:
Technology
Wave number
Computer science
Computation
LOADS
Mathematics
Applied
Rotational symmetry
AXIAL-COMPRESSION
020101 civil engineering
02 engineering and technology
Mechanics
09 Engineering
0201 civil engineering
Software
Isight
DESIGN
0203 mechanical engineering
Axisymmetric shell
COLLAPSE
Fourier series
01 Mathematical Sciences
computer.programming_language
Science & Technology
STABILITY
Buckling
business.industry
Applied Mathematics
General Engineering
Structural engineering
Python (programming language)
iSight
Design Practice & Management
Computer Graphics and Computer-Aided Design
Panel analysis
Finite element method
020303 mechanical engineering & transports
IMPERFECT CONICAL SHELLS
Physical Sciences
SPHERICAL-SHELLS
ELASTIC CYLINDRICAL-SHELLS
ABAQUS
business
computer
Mathematics
Analysis
Zdroj: Finite Elements in Analysis and Design. 152:55-68
ISSN: 0168-874X
DOI: 10.1016/j.finel.2018.07.004
Popis: Thin-walled shells of revolution under circumferentially uniform pre-buckling stress states are important fundamental systems, often serving as reference ‘base cases’ to which the behaviour of more complex unsymmetrical systems can be related. However, the same simplicity that often permits closed-form algebraic expressions for the critical buckling load is also often responsible for a lack of localisation and significant ambiguity in the critical buckling mode. The computation of the linear or nonlinear buckling loads requires the systematic trial of many potential buckling modes to identify the one which minimises the necessary strain energy. In times when researchers used custom-written tools usually based on circumferential Fourier series expansions, this operation was relatively straightforward. However, today's analysts using ‘general’ commercial 3D finite element packages must apply careful safeguards to correctly identify the correct buckling load and associated mode in axisymmetric shell systems. This paper presents a detailed computational strategy to accurately and efficiently investigate the correct buckling load and mode number of axisymmetric shell systems using the technique of a ‘panel analysis’. This is implemented in the ABAQUS finite element solver controlled by the SIMULIA™ Isight automation software and the Python object-oriented programming language. The methodology is illustrated on three classical benchmark problems from the scientific literature on the buckling of cylindrical shells under meridional compression, with special attention given to meshing considerations.
Databáze: OpenAIRE
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