000015064 001__ 15064
000015064 005__ 20161115100210.0
000015064 04107 $$aeng
000015064 046__ $$k2016-08-21
000015064 100__ $$aSigmund, Ole
000015064 24500 $$aOn convergence speedup in topology optimization (INVITED)

000015064 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000015064 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000015064 506__ $$arestricted
000015064 520__ $$2eng$$aThis paper introduces a simple-to-implement, multiscale-inspired approach to improve convergence speed in topology optimization. To ensure convergence toward globally optimal Michell-like structures, topology optimization approaches often apply continuation schemes where e.g. the penalization exponent is increased gradually. In this way, one nudges the process by going from an initially convex problem (variable thickness sheet) to a penalized, black and white solution. Iteration counts for such continuation approaches are usually counted in many hundreds or up to thousands. By introducing an extra constraint that limits the p-norm of the difference between the local density field and a smoothed (homogenized) one, the continuation scheme can be eliminated. It is demonstrated that this approach systematically creates extremely detailed and highly optimized Michell-like structures within at most 200 iterations.

000015064 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000015064 653__ $$a

000015064 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000015064 720__ $$aSigmund, Ole
000015064 8560_ $$ffischerc@itam.cas.cz
000015064 8564_ $$s133129$$uhttps://invenio.itam.cas.cz/record/15064/files/TS.MS06-1.03.pdf$$yOriginal version of the author's contribution as presented on CD,  page 340, code TS.MS06-1.03
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000015064 962__ $$r13812
000015064 980__ $$aPAPER