Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/springer_journal/topology-optimization-of-continuum-structures-under-hybrid-35LXrRkSDq
References (24)
-
James Guest, T. Igusa (2008)
Structural optimization under uncertain loads and nodal locationsComputer Methods in Applied Mechanics and Engineering, 198
-
Mingdong Zhou, B. Lazarov, O. Sigmund (2014)
Topology optimization for optical projection lithography with manufacturing uncertainties.Applied optics, 53 12
-
Shikui Chen, Wei Chen (2010)
A new level-set based approach to shape and topology optimization under geometric uncertaintyStructural and Multidisciplinary Optimization, 44
-
O. Sigmund (2009)
Manufacturing tolerant topology optimizationActa Mechanica Sinica, 25
-
B. Lazarov, M. Schevenels, O. Sigmund (2012)
Topology optimization with geometric uncertainties by perturbation techniquesInternational Journal for Numerical Methods in Engineering, 90
-
E. Cherkaev, A. Cherkaev (2008)
Minimax optimization problem of structural designComputers & Structures, 86
-
J. Lógó (2007)
New Type of Optimality Criteria Method in Case of Probabilistic Loading ConditionsMechanics Based Design of Structures and Machines, 35
-
T. Bruns, D. Tortorelli (2001)
Topology optimization of non-linear elastic structures and compliant mechanismsComputer Methods in Applied Mechanics and Engineering, 190
-
M. Tootkaboni, A. Asadpoure, James Guest (2012)
Topology optimization of continuum structures under uncertainty – A Polynomial Chaos approachComputer Methods in Applied Mechanics and Engineering, 201
-
Qinghai Zhao, Xiaokai Chen, Zheng-Dong Ma, Yi Lin (2015)
Robust Topology Optimization Based on Stochastic Collocation Methods under Loading UncertaintiesMathematical Problems in Engineering, 2015
-
K. Matsui, Kenjiro Terada (2004)
Continuous approximation of material distribution for topology optimizationInternational Journal for Numerical Methods in Engineering, 59
-
Z. Kang, Yiqiang Wang (2011)
Structural topology optimization based on non-local Shepard interpolation of density fieldComputer Methods in Applied Mechanics and Engineering, 200
-
Shikui Chen, Sanghoon Lee, Wei Chen (2010)
Level set based robust shape and topology optimization under random field uncertaintiesStructural and Multidisciplinary Optimization, 41
-
M. Schevenels, B. Lazarov, O. Sigmund (2011)
Robust topology optimization accounting for spatially varying manufacturing errorsComputer Methods in Applied Mechanics and Engineering, 200
-
K Matsui, K Terada (2004)
Continuous approximation of material distribution for topology optimizationInternat J Numer Methods Engrg, 59
-
J. Lógó, M. Ghaemi, M. Rad (2009)
Optimal Topologies in Case of Probabilistic Loading: The Influence of Load CorrelationMechanics Based Design of Structures and Machines, 37
-
N. Kogiso, Wonjin Ahn, S. Nishiwaki, K. Izui, M. Yoshimura (2008)
Robust Topology Optimization for Compliant Mechanisms Considering Uncertainty of Applied LoadsJournal of Advanced Mechanical Design Systems and Manufacturing, 2
-
B. Lazarov, M. Schevenels, O. Sigmund (2012)
Topology optimization considering material and geometric uncertainties using stochastic collocation methodsStructural and Multidisciplinary Optimization, 46
-
Vahid Keshavarzzadeh, F. Fernández, D. Tortorelli (2017)
Topology optimization under uncertainty via non-intrusive polynomial chaos expansionComputer Methods in Applied Mechanics and Engineering, 318
-
J. Witteveen, H. Bijl (2006)
Modeling Arbitrary Uncertainties Using Gram-Schmidt Polynomial Chaos -
A. Ben-Tal, A. Nemirovski (1997)
Robust Truss Topology Design via Semidefinite ProgrammingSIAM J. Optim., 7
-
Junpeng Zhao, Chun Wang (2014)
Robust Topology Optimization of Structures Under Loading UncertaintyAIAA Journal, 52
-
G. Allaire, C. Dapogny (2014)
A linearized approach to worst-case design in parametric and geometric shape optimizationMathematical Models and Methods in Applied Sciences, 24
-
Peter Dunning, H. Kim, G. Mullineux (2009)
Introducing Loading Uncertainty in Topology OptimizationAIAA Journal, 49
- Publisher
- Springer Journals
- Copyright
- Copyright © 2017 by Springer-Verlag GmbH Germany, part of Springer Nature
- Subject
- Engineering; Theoretical and Applied Mechanics; Computational Mathematics and Numerical Analysis; Engineering Design
- ISSN
- 1615-147X
- eISSN
- 1615-1488
- DOI
- 10.1007/s00158-017-1868-0
- Publisher site
- See Article on Publisher Site
Abstract
The aim of this paper is to study the topology optimization for mechanical systems with hybrid material and geometric uncertainties. The random variations are modeled by a memory-less transformation of random fields which ensures their physical admissibility. The stochastic collocation method combined with the proposed material and geometry uncertainty models provides robust designs by utilizing already developed deterministic solvers. The computational cost is decreased by using of sparse grids and discretization refinement that are proposed and demonstrated as well. The method is utilized in the design of minimum compliance structure. The proposed algorithm provides a computationally cheap alternative to previously introduced stochastic optimization methods based on Monte Carlo sampling by using adaptive sparse grids method.
Journal
Structural and Multidisciplinary Optimization – Springer Journals
Published: Dec 4, 2017