Structural Optimization with Reliability Constraints

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Resumé

During the last 25 years considerable progress has been made in the fields of structural optimization and structural reliability theory. In classical deterministic structural optimization all variables are assumed to be deterministic. Due to the unpredictability of loads and strengths of actual structures it is now widely accepted that structural problems are non-deterministic. Therefore, some of the variables have to be modelled as random variables/processes and a reliability-based design philosophy should be used, Comell [1], Moses [2], Ditlevsen [3] and Thoft-Christensen & Baker [ 4]. In this paper we consider only structures which can be modelled as systems of elasto-plastic elements, e.g. frame and truss structures. In section 2 a method to evaluate the reliability of such structural systems is presented. Based on a probabilistic point of view a modern structural optimization problem is formulated in section 3. The formulation is a natural extension of the commonly used formulations in determinstic structural optimization. The mathematical form of the optimization problem is briefly discussed. In section 4 two new optimization procedures especially designed for the reliability-based optimization problem are presented. In some examples in section 5 the optimization procedures are compared.
OriginalsprogEngelsk
TitelSystem Modeling and Optimization : Proceedings of the 12th IFIP Conference
RedaktørerA. Prékopa, J. Szelezán, B. Strazicky
Antal sider10
ForlagSpringer
Publikationsdato1986
Sider876-885
ISBN (Trykt)3-540-16854-0
StatusUdgivet - 1986
BegivenhedSystem Modeling and Optimization: IFIP - Budapest, Ungarn
Varighed: 2 sep. 19856 sep. 1985
Konferencens nummer: 12

Konference

KonferenceSystem Modeling and Optimization
Nummer12
LandUngarn
ByBudapest
Periode02/09/198506/09/1985
NavnLecture Notes in Control and Information Sciences
Vol/bind84
ISSN0170-8643

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Structural optimization
Reliability theory
Random variables
Plastics

Emneord

  • Structural Optimization
  • Reliability Constraints

Citer dette

Sørensen, J. D., & Thoft-Christensen, P. (1986). Structural Optimization with Reliability Constraints. I A. Prékopa, J. Szelezán, & B. Strazicky (red.), System Modeling and Optimization: Proceedings of the 12th IFIP Conference (s. 876-885). Springer. Lecture Notes in Control and Information Sciences, Bind. 84
Sørensen, John Dalsgaard ; Thoft-Christensen, Palle. / Structural Optimization with Reliability Constraints. System Modeling and Optimization: Proceedings of the 12th IFIP Conference. red. / A. Prékopa ; J. Szelezán ; B. Strazicky. Springer, 1986. s. 876-885 (Lecture Notes in Control and Information Sciences, Bind 84).
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title = "Structural Optimization with Reliability Constraints",
abstract = "During the last 25 years considerable progress has been made in the fields of structural optimization and structural reliability theory. In classical deterministic structural optimization all variables are assumed to be deterministic. Due to the unpredictability of loads and strengths of actual structures it is now widely accepted that structural problems are non-deterministic. Therefore, some of the variables have to be modelled as random variables/processes and a reliability-based design philosophy should be used, Comell [1], Moses [2], Ditlevsen [3] and Thoft-Christensen & Baker [ 4]. In this paper we consider only structures which can be modelled as systems of elasto-plastic elements, e.g. frame and truss structures. In section 2 a method to evaluate the reliability of such structural systems is presented. Based on a probabilistic point of view a modern structural optimization problem is formulated in section 3. The formulation is a natural extension of the commonly used formulations in determinstic structural optimization. The mathematical form of the optimization problem is briefly discussed. In section 4 two new optimization procedures especially designed for the reliability-based optimization problem are presented. In some examples in section 5 the optimization procedures are compared.",
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Sørensen, JD & Thoft-Christensen, P 1986, Structural Optimization with Reliability Constraints. i A Prékopa, J Szelezán & B Strazicky (red), System Modeling and Optimization: Proceedings of the 12th IFIP Conference. Springer, Lecture Notes in Control and Information Sciences, bind 84, s. 876-885, System Modeling and Optimization, Budapest, Ungarn, 02/09/1985.

Structural Optimization with Reliability Constraints. / Sørensen, John Dalsgaard; Thoft-Christensen, Palle.

System Modeling and Optimization: Proceedings of the 12th IFIP Conference. red. / A. Prékopa; J. Szelezán; B. Strazicky. Springer, 1986. s. 876-885 (Lecture Notes in Control and Information Sciences, Bind 84).

Publikation: Bidrag til bog/antologi/rapport/konference proceedingKonferenceartikel i proceedingForskningpeer review

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Sørensen JD, Thoft-Christensen P. Structural Optimization with Reliability Constraints. I Prékopa A, Szelezán J, Strazicky B, red., System Modeling and Optimization: Proceedings of the 12th IFIP Conference. Springer. 1986. s. 876-885. (Lecture Notes in Control and Information Sciences, Bind 84).