000015513 001__ 15513
000015513 005__ 20161115100224.0
000015513 04107 $$aeng
000015513 046__ $$k2016-08-21
000015513 100__ $$aMichailidis, Georgios
000015513 24500 $$aModal basis approaches in shape and topology optimization of frequency response problems

000015513 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000015513 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000015513 506__ $$arestricted
000015513 520__ $$2eng$$aThe optimal design of mechanical parts subject to periodic excitations within a large frequency interval is quite challenging. Mechanical intuition in such problems is very limited and although Shape and Topology (S&T) optimization techniques could provide an answer in the conceptual design phase, the necessary computational time using traditional techniques is prohibited, mainly due to the costly adjoint analysis. In this work, we present two non-adjoint approaches for treating frequency response problems in S&T optimization. In the first method, we propose to use an approximation of the objective function and its shape derivative via a modal decomposition of the direct and adjoint states. In the second, we use the modal decomposition both to formulate the problem and to approximate the shape derivative of eigenvectors, in order to evitate the solution of an adjoint equation for every eigenvector. We present numerical examples for the minimization of the dynamic compliance.

000015513 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000015513 653__ $$a

000015513 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000015513 720__ $$aMichailidis, Georgios
000015513 8560_ $$ffischerc@itam.cas.cz
000015513 8564_ $$s88647$$uhttps://invenio.itam.cas.cz/record/15513/files/TS.SM16-2.04.pdf$$yOriginal version of the author's contribution as presented on CD,  page 2981, code TS.SM16-2.04
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000015513 962__ $$r13812
000015513 980__ $$aPAPER