Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/springer-journals/manufacturing-tolerant-topology-optimization-k0H8EKo4EN
References (51)
-
A Saxena (2008)
Design of nonlinear springs for prescribed load-displacement functionsJ. Mech. Des., 130
-
(2008)
Reanalysis of Structures, Solid Mechanics and its applications, vol -
O. Amir, M. Bendsøe, O. Sigmund (2009)
Approximate reanalysis in topology optimizationInternational Journal for Numerical Methods in Engineering, 78
-
citation_title=Microlithography (2007)
Microlithography: Science and Technology -
Je-Nam Kang, Chwail Kim, Semyun Wang (2004)
Reliability‐based topology optimization for electromagnetic systemsCompel-the International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 23
-
O. Sigmund (2001)
A 99 line topology optimization code written in MatlabStructural and Multidisciplinary Optimization, 21
-
Thomas Poulsen (2003)
A new scheme for imposing a minimum length scale in topology optimizationInternational Journal for Numerical Methods in Engineering, 57
-
M. Bendsøe, O. Sigmund (2004)
Extensions and applications -
consider linear isotropic materials and the Young’s modulus of an element is a function of the element design variable ρ e given by the modified SIMP -
C. Pedersen, T. Buhl, O. Sigmund (2001)
Topology synthesis of large‐displacement compliant mechanismsInternational Journal for Numerical Methods in Engineering, 50
-
G. Yoon, Y. Kim, M. Bendsøe, O. Sigmund (2004)
Hinge-free topology optimization with embedded translation-invariant differentiable wavelet shrinkageStructural and Multidisciplinary Optimization, 27
-
A. Ben-Tal, A. Nemirovski (1997)
Robust Truss Topology Design via Semidefinite ProgrammingSIAM J. Optim., 7
-
C. Jog, R. Haber (1996)
Stability of finite element models for distributed-parameter optimization and topology designComputer Methods in Applied Mechanics and Engineering, 130
-
P. Borel, L. Frandsen, A. Harpøth, M. Kristensen, Jakob Jensen, O. Sigmund (2005)
Topology optimised broadband photonic crystal Y-splitterElectronics Letters, 41
-
P. Borel, A. Harpøth, L. Frandsen, Martin Kristensen, P. Shi, Jakob Jensen, O. Sigmund (2004)
Topology optimization and fabrication of photonic crystal structures.Optics express, 12 9
-
T. Bruns, D. Tortorelli (2001)
Topology optimization of non-linear elastic structures and compliant mechanismsComputer Methods in Applied Mechanics and Engineering, 190
-
with Penalization) interpolation scheme -
O. Sigmund, J. Petersson (1998)
Numerical instabilities in topology optimization: A survey on procedures dealing with checkerboards, mesh-dependencies and local minimaStructural optimization, 16
-
Nam-Ho Kim (2008)
Mechanics Based Design of Structures and Machines -
J. Allen C. Seepersad (2006)
Robust design of cellular materials with topological and dimensional imperfectionsJ. Mech. Des. Trans. ASME, 128
-
A. Diaz, O. Sigmund (1995)
Checkerboard patterns in layout optimizationStructural optimization, 10
-
S. Rahmatalla, C. Swan (2004)
Sparse monolithic compliant mechanisms using continuum structural topology optimizationInternational Journal for Numerical Methods in Engineering, 62
-
N. Olhoff G. Kharmanda (2004)
Reliability-based topology optimizationStruct. Multidiscip. Optim., 26
-
C. Swan S. Rahmatalla (2005)
Sparse monolithic compliant mechanisms using continuum structural topology optimizationInt. J. Numer. Methods Eng., 62
-
U. Kirsch (2008)
Reanalysis of Structures, 151
-
James Guest, T. Igusa (2008)
Structural optimization under uncertain loads and nodal locationsComputer Methods in Applied Mechanics and Engineering, 198
-
O. Sigmund (2007)
Morphology-based black and white filters for topology optimizationStructural and Multidisciplinary Optimization, 33
-
Katsuya Mogami, S. Nishiwaki, K. Izui, M. Yoshimura, N. Kogiso (2006)
Reliability-based structural optimization of frame structures for multiple failure criteria using topology optimization techniquesStructural and Multidisciplinary Optimization, 32
-
H. Jung, Seonho Cho (2004)
Reliability-based topology optimization of geometrically nonlinear structures with loading and material uncertaintiesFinite Elements in Analysis and Design, 41
-
Chen, Jianjun, Cao, Yibo, Sun, Huai＇an (1999)
Topology optimization of truss structures with systematic reliability constraints under multiple loading casesActa Mechanica Solida Sinica, 12
-
O. Sigmund (2001)
A 99 line topology optimization code written in MATLAB. Struct. Multidiscip. Optim. 21 -
O. Sigmund (2001)
Design of multiphysics actuators using topology optimization - Part I: One-material structuresComputer Methods in Applied Mechanics and Engineering, 190
-
James Guest, J. Prévost, T. Belytschko (2004)
Achieving minimum length scale in topology optimization using nodal design variables and projection functionsInternational Journal for Numerical Methods in Engineering, 61
-
S. Christiansen, M. Patriksson, L. Wynter (2001)
Stochastic bilevel programming in structural optimizationStructural and Multidisciplinary Optimization, 21
-
U. Kirsch (1991)
Reduced basis approximations of structural displacements for optimaldesignAIAA Journal, 29
-
Chwail Kim, Semyun Wang, Il-Han Hwang, Jong-Hyun Lee (2007)
Application of Reliability-Based Topology Optimization for Microelectromechanical SystemsAIAA Journal, 45
-
K. Maute, D. Frangopol (2003)
Reliability-based design of MEMS mechanisms by topology optimizationComputers & Structures, 81
-
O. Sigmund (1997)
On the Design of Compliant Mechanisms Using Topology OptimizationMechanics of Structures and Machines, 25
-
B. Bourdin (2001)
Filters in topology optimizationInternational Journal for Numerical Methods in Engineering, 50
-
O. Sigmund (2001)
Optimum Design of Microelectromechanical Systems -
Jun Luo, Z. Luo, Shikui Chen, L. Tong, M. Wang (2008)
A new level set method for systematic design of hinge-free compliant mechanismsComputer Methods in Applied Mechanics and Engineering, 198
-
Christine Jutte, S. Kota (2008)
Design of Nonlinear Springs for Prescribed Load-Displacement -
(2001)
Mechanics for a New Millenium -
M. Bendsøe, O. Sigmund (2011)
Topology Optimization: "Theory, Methods, And Applications" -
E e = E ( ρ e ) = E min + ρ pe ( E 0 − E min ) , ρ e ∈ [ 0 , 1 ] -
K. Svanberg (1987)
The method of moving asymptotes—a new method for structural optimizationInternational Journal for Numerical Methods in Engineering, 24
-
O. Amir (2009)
Approximate reanalysis in topology optimization. Int. J. Numer. Methods Eng. -
M. Dekker, L. Yin, G. Ananthasuresh (2003)
Design of Distributed Compliant MechanismsMechanics Based Design of Structures and Machines, 31
-
P. Hawkes (1980)
Digital image processingNature, 285
-
C. Seepersad, J. Allen, D. McDowell, F. Mistree (2006)
Robust Design of Cellular Materials With Topological and Dimensional Imperfections -
M.P. Bendsøe (2003)
Topology Optimization—Theory
- Publisher
- Springer Journals
- Copyright
- 2009 The Chinese Society of Theoretical and Applied Mechanics and Springer-Verlag GmbH
- ISSN
- 0567-7718
- eISSN
- 1614-3116
- DOI
- 10.1007/s10409-009-0240-z
- Publisher site
- See Article on Publisher Site
Abstract
Abstract In this paper we present an extension of the topology optimization method to include uncertainties during the fabrication of macro, micro and nano structures. More specifically, we consider devices that are manufactured using processes which may result in (uniformly) too thin (eroded) or too thick (dilated) structures compared to the intended topology. Examples are MEMS devices manufactured using etching processes, nano-devices manufactured using e-beam lithography or laser micro-machining and macro structures manufactured using milling processes. In the suggested robust topology optimization approach, under- and over-etching is modelled by image processing-based “erode” and “dilate” operators and the optimization problem is formulated as a worst case design problem. Applications of the method to the design of macro structures for minimum compliance and micro compliant mechanisms show that the method provides manufacturing tolerant designs with little decrease in performance. As a positive side effect the robust design formulation also eliminates the longstanding problem of one-node connected hinges in compliant mechanism design using topology optimization.
Journal
"Acta Mechanica Sinica" – Springer Journals
Published: Apr 1, 2009