Optimization of thin-walled structures with geometric nonlinearity for maximum critical buckling load using optimality criteria

In this study, two optimality criteria are presented for shape optimization of thin-walled structures with geometric nonlinearity modeled by finite elements. The optimization problem considers the thickness and geometry design variables, and aims to maximize the critical load of the structure subjec...

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Published in:Thin-walled structures Vol. 46; no. 12; pp. 1319 - 1328
Main Authors: Khosravi, Peyman, Ganesan, Rajamohan, Sedaghati, Ramin
Format: Journal Article
Language:English
Published: Oxford Elsevier Ltd 01.12.2008
New York, NY Elsevier Science
Subjects:
Buckling
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Geometric nonlinearity
Optimality criterion
Physics
Shape optimization
Solid mechanics
Structural and continuum mechanics
Thickness optimization
Thin-walled structures
Thickness optimization
Thin-walled structures
Optimality criterion
Geometric nonlinearity
Shape optimization
Geometrical shape
Variable geometry
Sensitivity analysis
Optimization method
Quadratic programming
Modeling
Geometrical model
Optimization
Finite element method
Sequential method
Critical load
Non linear effect
Buckling
Gradient method
Thin wall
ISSN:0263-8231, 1879-3223
Online Access:Get full text
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Abstract In this study, two optimality criteria are presented for shape optimization of thin-walled structures with geometric nonlinearity modeled by finite elements. The optimization problem considers the thickness and geometry design variables, and aims to maximize the critical load of the structure subject to constant total mass. Results of the optimization with optimality criteria are compared with those found by the gradient-based sequential quadratic programming method. It is shown that the optimum shape can be found using this method without performing the sensitivity analysis, and in less number of iterations compared to the standard gradient-based methods of optimization.
AbstractList In this study, two optimality criteria are presented for shape optimization of thin-walled structures with geometric nonlinearity modeled by finite elements. The optimization problem considers the thickness and geometry design variables, and aims to maximize the critical load of the structure subject to constant total mass. Results of the optimization with optimality criteria are compared with those found by the gradient-based sequential quadratic programming method. It is shown that the optimum shape can be found using this method without performing the sensitivity analysis, and in less number of iterations compared to the standard gradient-based methods of optimization.
Author Ganesan, Rajamohan
Khosravi, Peyman
Sedaghati, Ramin
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  givenname: Ramin
  surname: Sedaghati
  fullname: Sedaghati, Ramin
  email: sedagha@encs.concordia.ca
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Issue 12
Keywords Thickness optimization
Thin-walled structures
Optimality criterion
Geometric nonlinearity
Shape optimization
Geometrical shape
Variable geometry
Sensitivity analysis
Optimization method
Quadratic programming
Modeling
Geometrical model
Optimization
Finite element method
Sequential method
Critical load
Non linear effect
Buckling
Gradient method
Thin wall
Language English
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CC BY 4.0
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Snippet In this study, two optimality criteria are presented for shape optimization of thin-walled structures with geometric nonlinearity modeled by finite elements....
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SubjectTerms Buckling
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Geometric nonlinearity
Optimality criterion
Physics
Shape optimization
Solid mechanics
Structural and continuum mechanics
Thickness optimization
Thin-walled structures
Title Optimization of thin-walled structures with geometric nonlinearity for maximum critical buckling load using optimality criteria
URI https://dx.doi.org/10.1016/j.tws.2008.04.002
Volume 46
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