A fast method for binary programming using first-order derivatives, with application to topology optimization with buckling constraints

SUMMARY We present a method for finding solutions of large‐scale binary programming problems where the calculation of derivatives is very expensive. We then apply this method to a topology optimization problem of weight minimization subject to compliance and buckling constraints. We derive an analyt...

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Bibliographic Details
Published in:International journal for numerical methods in engineering Vol. 92; no. 12; pp. 1026 - 1043
Main Authors: Browne, P. A., Budd, C., Gould, N. I. M., Kim, H. A., Scott, J. A.
Format: Journal Article
Language:English
Published: Chichester Blackwell Publishing Ltd 21.12.2012
Wiley
Wiley Subscription Services, Inc
Subjects:
binary programming
Buckling
eigenvalue
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Mathematics
Methods of scientific computing (including symbolic computation, algebraic computation)
Numerical analysis. Scientific computation
Physics
Sciences and techniques of general use
Solid mechanics
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
structural optimization
topology optimization
Geometrical shape
High performance
Stiffness matrix
Constraint
structural optimization
Minimization
Topology
Distributed computing
Modeling
Weight
Constrained optimization
Finite element method
Zero one programming
binary programming
Eigenvalue problem
topology optimization
Buckling
eigenvalue
Structural analysis
ISSN:0029-5981, 1097-0207
Online Access:Get full text
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Summary:SUMMARY We present a method for finding solutions of large‐scale binary programming problems where the calculation of derivatives is very expensive. We then apply this method to a topology optimization problem of weight minimization subject to compliance and buckling constraints. We derive an analytic expression for the derivative of the stress stiffness matrix with respect to the density of an element in the finite‐element setting. Results are presented for a number of two‐dimensional test problems.Copyright © 2012 John Wiley & Sons, Ltd.
Bibliography:ark:/67375/WNG-WWF9RS5M-S
ArticleID:NME4367
EPSRC - No. EP/E053351/1
istex:0A5059919A6DABA57C8B7295DBA5D5D13219E799
ObjectType-Article-1
SourceType-Scholarly Journals-1
content type line 14
ISSN:0029-5981
1097-0207
DOI:10.1002/nme.4367