000012848 001__ 12848
000012848 005__ 20160920162650.0
000012848 04107 $$aeng
000012848 046__ $$k2016-09-05
000012848 100__ $$aMunro, D.
000012848 24500 $$aOn filtered “conservatism” in direct topology design

000012848 24630 $$n6.$$pInsights and Innovations in Structural Engineering, Mechanics and Computation
000012848 260__ $$bTaylor and Francis Group, London, UK
000012848 506__ $$arestricted
000012848 520__ $$2eng$$aThis is a preliminary study into convergence and termination of a sequential approximate optimization algorithm based on convex diagonal quadratic subproblems in direct topology optimization. The direct problem is characterised by a large numberof nonlinear equality constraints, hence the method forms part of a general large-scale nonlinear programming paradigm. In structural optimization globally convergent algorithms based on separable and conservative approximations are popular due to minimal storage requirements and minimal function evaluations, in addition to the fact that a trust-region need not be reduced to effect global convergence. However, these methods are restricted to inequality constrained problems. It is demonstrated that the convergence and termination properties that follow from the filtered acceptance of iterates in a trust-region framework can be effected in general nonlinear programming by conditionally increasing the curvature (“conservatism”) of the approximate subproblems, without reducing the trust-region, or even, by neglecting the trust-region all-together. A large-scale instance of the direct formulated slope constrained MBB design problem is considered for numerical experimentation.

000012848 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000012848 653__ $$a

000012848 7112_ $$aSixth International Conference on Structural Engineering, Mechanics and Computation$$cCape Town, South Africa$$d2016-09-05 / 2016-09-07$$gSEMC2016
000012848 720__ $$aMunro, D.$$iGroenwold, A.A.
000012848 8560_ $$ffischerc@itam.cas.cz
000012848 8564_ $$s852069$$uhttps://invenio.itam.cas.cz/record/12848/files/296.pdf$$yOriginal version of the author's contribution as presented on CD, 296.pdf.
000012848 962__ $$r12552
000012848 980__ $$aPAPER