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  • Design volných materiálů je spjat s otázkou nalezení nejlehčí struktury předmětu s jednou nebo více cestami, když oboje, distribuce materiálu a materiál sám o sobě může být volně zkombinován. Přidáváme omezení pro místní stresování v optimální struktuře. Diskutujeme o volbách formulací problému a stresových omezeních. Zvolená formulace vede k matematickému programu s maticemi omezenými nerovností, takzvanému nelineárnímu semidifinitnímu programu. Uvádíme algoritmus, který vyřeší tyto problémy. Algoritmus je založen na Lagrangianově metodě. Přikládáme i několik numerických příkladů. (cs)
  • Free material design deals with the question of finding the lightest structure subject to one or more given loads when both the distribution of material and the material itself can be freely varied. We additionally consider constraints on local stresses in the optimal structure. We discuss the choice of formulation of the problem and the stress constraints. The chosen formulation leads to a mathematical program with matrix inequality constraints, so-called nonlinear semidefinite program. We present an algorithm that can solve these problems. The algorithm is based on a generalized augmented Lagrangian method. A number of numerical examples demonstrates the effect of stress constraints in free material optimization.
  • Free material design deals with the question of finding the lightest structure subject to one or more given loads when both the distribution of material and the material itself can be freely varied. We additionally consider constraints on local stresses in the optimal structure. We discuss the choice of formulation of the problem and the stress constraints. The chosen formulation leads to a mathematical program with matrix inequality constraints, so-called nonlinear semidefinite program. We present an algorithm that can solve these problems. The algorithm is based on a generalized augmented Lagrangian method. A number of numerical examples demonstrates the effect of stress constraints in free material optimization. (en)
Title
  • Free material optimization for stress constraints
  • Free material optimization for stress constraints (en)
  • Volná optimizace materiálů pro stresová omezení (cs)
skos:prefLabel
  • Free material optimization for stress constraints
  • Free material optimization for stress constraints (en)
  • Volná optimizace materiálů pro stresová omezení (cs)
skos:notation
  • RIV/67985556:_____/07:00322642!RIV09-AV0-67985556
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(IAA1075402), Z(AV0Z10750506)
http://linked.open...iv/cisloPeriodika
  • 4-5
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 422597
http://linked.open...ai/riv/idVysledku
  • RIV/67985556:_____/07:00322642
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • structural optimization; material optimization; topology optimization; stress constraints (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV
  • [D5233BFEE2AB]
http://linked.open...i/riv/nazevZdroje
  • Structural and Multidisciplinary Optimization
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 33
http://linked.open...iv/tvurceVysledku
  • Kočvara, Michal
  • Stingl, M.
http://linked.open...ain/vavai/riv/wos
  • 000244689200004
http://linked.open...n/vavai/riv/zamer
issn
  • 1615-147X
number of pages
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