Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/springer_journal/non-probabilistic-reliability-based-topology-optimization-with-YCXi90y8IU
References (64)
-
Yangjun Luo, Z. Kang, Z. Luo, A. Li (2009)
Continuum topology optimization with non-probabilistic reliability constraints based on multi-ellipsoid convex modelStructural and Multidisciplinary Optimization, 39
-
(1998)
Efficient probabilistic design by converting reliability constraints to approximately equivalent deterministic constraints -
MP Bendsøe (1999)
635Arch Appl Mech, 69
-
C. Jiang, X. Han, G. Liu (2008)
A sequential nonlinear interval number programming method for uncertain structuresComputer Methods in Applied Mechanics and Engineering, 197
-
Z. Kang, Yangjun Luo (2010)
Reliability-based structural optimization with probability and convex set hybrid modelsStructural and Multidisciplinary Optimization, 42
-
B. Ni, C. Jiang, X. Han (2016)
An improved multidimensional parallelepiped non-probabilistic model for structural uncertainty analysisApplied Mathematical Modelling, 40
-
Anukal Chiralaksanakul, S. Mahadevan (2005)
First-Order Approximation Methods in Reliability-Based Design OptimizationJournal of Mechanical Design, 127
-
O. Sigmund (2001)
A 99 line topology optimization code written in MatlabStructural and Multidisciplinary Optimization, 21
-
I. Elishakoff, P. Elisseeff, S. Glegg (1994)
Nonprobabilistic, convex-theoretic modeling of scatter in material propertiesAIAA Journal, 32
-
Jinglai Wu, Z. Luo, Hao Li, Nong Zhang (2017)
Level-set topology optimization for mechanical metamaterials under hybrid uncertaintiesComputer Methods in Applied Mechanics and Engineering, 319
-
O. Sigmund, K. Maute (2013)
Topology optimization approachesStructural and Multidisciplinary Optimization, 48
-
Tomás Zegard, G. Paulino (2015)
GRAND3 — Ground structure based topology optimization for arbitrary 3D domains using MATLABStructural and Multidisciplinary Optimization, 52
-
Bin Xu, Lei Zhao, Yi Xie, J. Jiang (2017)
Topology optimization of continuum structures with uncertain-but-bounded parameters for maximum non-probabilistic reliability of frequency requirementJournal of Vibration and Control, 23
-
Tam Nguyen, Junho Song, G. Paulino (2011)
Single-loop system reliability-based topology optimization considering statistical dependence between limit-statesStructural and Multidisciplinary Optimization, 44
-
A. Hasofer, N. Lind (1974)
Exact and Invariant Second-Moment Code FormatJournal of Engineering Mechanics-asce, 100
-
Mariana Silva, D. Tortorelli, J. Norato, Christopher Ha, Ha-Rok Bae (2010)
Component and system reliability-based topology optimization using a single-loop methodStructural and Multidisciplinary Optimization, 41
-
Sarah Bobby, Arthriya Suksuwan, S. Spence, A. Kareem (2017)
Reliability-based topology optimization of uncertain building systems subject to stochastic excitationStructural Safety, 66
-
Tomás Zegard, G. Paulino (2014)
GRAND — Ground structure based topology optimization for arbitrary 2D domains using MATLABStructural and Multidisciplinary Optimization, 50
-
H. Lindberg (1992)
Convex Models for Uncertain Imperfection Control in Multimode Dynamic BucklingJournal of Applied Mechanics, 59
-
MP Bendsøe, N Kikuchi (1988)
Generating optimal topologies in structural design using a homogenization methodComput Methods Appl Mech Eng, 71
-
Jie Liu, G. Wen, H. Zuo, Qixiang Qing (2016)
A simple reliability-based topology optimization approach for continuum structures using a topology description functionEngineering Optimization, 48
-
Xiaodong Huang, Y. Xie (2010)
Evolutionary Topology Optimization of Continuum Structures: Methods and Applications -
H. Eschenauer, N. Olhoff (2001)
Topology optimization of continuum structures: A review*Applied Mechanics Reviews, 54
-
Z. Qiu, Xiaojun Wang (2003)
Comparison of dynamic response of structures with uncertain-but-bounded parameters using non-probabilistic interval analysis method and probabilistic approachInternational Journal of Solids and Structures, 40
-
Xiaoguang Chen, T. Hasselman, D. Neill (1997)
Reliability based structural design optimization for practical applications -
G. Allaire, F. Jouve, Anca-Maria Toader (2004)
Structural optimization using sensitivity analysis and a level-set methodJournal of Computational Physics, 194
-
Jinghong Liang, Z. Mourelatos, J. Tu (2004)
A Single-Loop Method for Reliability-Based Design Optimization -
M. Wang, Xiaoming Wang, D. Guo (2003)
A level set method for structural topology optimizationComputer Methods in Applied Mechanics and Engineering, 192
-
Yangjun Luo, Z. Kang, A. Li (2009)
Structural reliability assessment based on probability and convex set mixed modelComputers & Structures, 87
-
C. Jiang, Q. Zhang, X. Han, Jie Liu, D. Hu (2015)
Multidimensional parallelepiped model—a new type of non‐probabilistic convex model for structural uncertainty analysisInternational Journal for Numerical Methods in Engineering, 103
-
G. Schuëller, H. Jensen (2008)
Computational methods in optimization considering uncertainties – An overviewComputer Methods in Applied Mechanics and Engineering, 198
-
Xu Guo, G. Cheng (2010)
Recent development in structural design and optimizationActa Mechanica Sinica, 26
-
C. Jiang, Xu Han, Gui-rong Liu (2007)
Optimization of structures with uncertain constraints based on convex model and satisfaction degree of intervalComputer Methods in Applied Mechanics and Engineering, 196
-
James Guest, T. Igusa (2008)
Structural optimization under uncertain loads and nodal locationsComputer Methods in Applied Mechanics and Engineering, 198
-
Y. Wu, H. Millwater, T. Cruse (1990)
Advanced probabilistic structural analysis method for implicit performance functionsAIAA Journal, 28
-
N. Higham (1987)
Computing real square roots of a real matrixLinear Algebra and its Applications
-
M. Valdebenito, G. Schuëller (2010)
A survey on approaches for reliability-based optimizationStructural and Multidisciplinary Optimization, 42
-
AM Hasofer, NC Lind (1974)
Exact and Invariant Second-Moment Code FormatJ Eng Mech Div-ASCE, 100
-
H. Jung, Seonho Cho (2004)
Reliability-based topology optimization of geometrically nonlinear structures with loading and material uncertaintiesFinite Elements in Analysis and Design, 41
-
M. Jalalpour, James Guest, T. Igusa (2013)
Reliability-based Topology Optimization of Trusses with Stochastic StiffnessStructural Safety, 43
-
Z. Qiu, Xiaojun Wang (2005)
Parameter perturbation method for dynamic responses of structures with uncertain-but-bounded parameters based on interval analysisInternational Journal of Solids and Structures, 42
-
Y. Xie, G. Steven (1993)
A simple evolutionary procedure for structural optimizationComputers & Structures, 49
-
Y. Ben-Haim (1993)
Convex Models of Uncertainty in Radial Pulse Buckling of ShellsJournal of Applied Mechanics, 60
-
XP Du, W Chen (2004)
Sequential optimization and reliability assessment method for efficient probabilistic designJ Mech Des, 126
-
Vahid Keshavarzzadeh, F. Fernández, D. Tortorelli (2017)
Topology optimization under uncertainty via non-intrusive polynomial chaos expansionComputer Methods in Applied Mechanics and Engineering, 318
-
R. Rackwitz, Bernd Flessler (1978)
Structural reliability under combined random load sequencesComputers & Structures, 9
-
M. Bendsøe, O. Sigmund (1999)
Material interpolation schemes in topology optimizationArchive of Applied Mechanics, 69
-
M. Bendsøe, N. Kikuchi (1988)
Generating optimal topologies in structural design using a homogenization methodApplied Mechanics and Engineering, 71
-
K. Maute, D. Frangopol (2003)
Reliability-based design of MEMS mechanisms by topology optimizationComputers & Structures, 81
-
Y. Ben-Haim, I. Elishakoff (1990)
Convex models of uncertainty in applied mechanics -
Junpeng Zhao, Chunjie Wang (2014)
Robust structural topology optimization under random field loading uncertaintyStructural and Multidisciplinary Optimization, 50
-
(2004)
A single-loop method for reliabilitybased design optimization//ASME 2004 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference -
Chwail Kim, Semyun Wang, Kyoung-ryun Rae, H. Moon, K. Choi (2006)
Reliability-based topology optimization with uncertaintiesJournal of Mechanical Science and Technology, 20
-
H. Grouni (1986)
Methods of structural safetyCanadian Journal of Civil Engineering, 13
-
Jiten Patel, Seung-Kyum Choi (2010)
Classification approach for reliability-based topology optimization using probabilistic neural networksStructural and Multidisciplinary Optimization, 45
-
M. Jalalpour, M. Tootkaboni (2016)
An efficient approach to reliability-based topology optimization for continua under material uncertaintyStructural and Multidisciplinary Optimization, 53
-
J. Du, Chuangchuang Sun (2017)
Reliability-based vibro-acoustic microstructural topology optimizationStructural and Multidisciplinary Optimization, 55
-
I. Elishakoff, Yannis Bekel (2013)
Application of Lamé's Super Ellipsoids to Model Initial ImperfectionsJournal of Applied Mechanics, 80
-
M. Bendsøe, O. Sigmund (2011)
Topology Optimization: "Theory, Methods, And Applications" -
Jihong Zhu, Weihong Zhang, L. Xia (2016)
Topology Optimization in Aircraft and Aerospace Structures DesignArchives of Computational Methods in Engineering, 23
-
T. Sokół (2011)
A 99 line code for discretized Michell truss optimization written in MathematicaStructural and Multidisciplinary Optimization, 43
-
A. Hami, B. Radi (2013)
Reliability‐Based Topology Optimization -
K. Svanberg (1987)
The method of moving asymptotes—a new method for structural optimizationInternational Journal for Numerical Methods in Engineering, 24
-
Xiaoping Du, Wei Chen (2004)
Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic DesignProceedings of the IEEE
- Publisher
- Springer Journals
- Copyright
- Copyright © 2017 by Springer-Verlag GmbH Germany
- Subject
- Engineering; Theoretical and Applied Mechanics; Computational Mathematics and Numerical Analysis; Engineering Design
- ISSN
- 1615-147X
- eISSN
- 1615-1488
- DOI
- 10.1007/s00158-017-1851-9
- Publisher site
- See Article on Publisher Site
Abstract
In this paper, a new non-probabilistic reliability-based topology optimization (NRBTO) method is proposed to account for interval uncertainties considering parametric correlations. Firstly, a reliability index is defined based on a newly developed multidimensional parallelepiped (MP) convex model, and the reliability-based topology optimization problem is formulated to optimize the topology of the structure, to minimize material volume under displacement constraints. Secondly, an efficient decoupling scheme is applied to transform the double-loop NRBTO into a sequential optimization process, using the sequential optimization & reliability assessment (SORA) method associated with the performance measurement approach (PMA). Thirdly, the adjoint variable method is used to obtain the sensitivity information for both uncertain and design variables, and a gradient-based algorithm is employed to solve the optimization problem. Finally, typical numerical examples are used to demonstrate the effectiveness of the proposed topology optimization method.
Journal
Structural and Multidisciplinary Optimization – Springer Journals
Published: Nov 23, 2017