• Title/Summary/Keyword: Conservative Global-Local Approximation

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Substructuring-based Structural Reanalysis by Multilevel Hybrid Approximation (다단계 혼성근사화에 의한 부구조화 기반 구조 재해석)

  • 황진하;김경일;이학술
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.12 no.3
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    • pp.397-406
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    • 1999
  • A new solution procedure for approximate reanalysis, using the staged hybrid methods with substructuring, is proposed in this study. Displacements are calculated with two step mixed procedures. First step is to introduce the conservative approximation, which is a hybrid form of the linear and reciprocal approximation, as local approximation. In the next step, it is combined with the global approximation by reduced basis approach. Stresses are evaluated from the displacements by matrix transformation. The quality of reanalyzed quantities can be greatly improved through these staged hybrid approximations, specially for large changes in the design. Overall procedures are based on substructuring scheme. Several numerical examples illustrate the validity and effectiveness of the proposed methods.

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Design Optimization of Large Scale Structural Systems based on Multilevel Hybrid Approximation (다단계 혼성근사화에 기초한 대형구조계의 설계최적화)

  • 김경일;박종회;황진하
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2002.04a
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    • pp.249-256
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    • 2002
  • A new optimization procedure with approximate reanalysis module, using the staged hybrid methods with substructuring, is proposed in is study. In this procedure, displacements are calculated with two step mixed procedures. First step is to introduce the conservative approximation, which is a hybrid form of the linear and reciprocal approximation, as local approximation. In the next step, it is combined with the global approximation by reduced basis approach. The quality of reanalyzed quantities can be greatly improved through these staged hybrid approximations, specially for large changes in the design. Overall procedures are based on substructuring scheme. Several numerical examples illustrate the validity and effectiveness of the proposed methods.

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