STRUCTURAL DESIGN BASED ON A NUMERICAL DESIGN METHOD AND SENSITIVITY ANALYSIS OF OPTIMUM DESIGNS OF BUILDINGS

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  • IKAGO Kohju
    Dept. of Structural Engineering, Nikken Sekkei Ltd.
  • YAMAKAWA Makoto
    Dept. of Architecture and Architectural Engineering, Kyoto University
  • UETANI Koji
    Dept. of Architecture and Architectural Engineering, Kyoto University

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  • 数理的設計手法に基づく建築構造設計と最適設計解感度分析
  • スウリテキ セッケイ シュホウ ニ モトヅク ケンチク コウゾウ セッケイ ト サイテキ セッケイカイカンド ブンセキ

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Abstract

In this paper, we propose that a optimum design system to aid structural design in practice should present sensitivity derivatives of an objective function with respect to the parameters of structural performances. It is shown that the sensitivity derivatives of the objective function are evaluated inexpensively by Lagrange multipliers which are by-products of the optimization scheme. And, we study the dual problem which has close relationship with the sensitivity analysis of the optimum design to present that the balance between the cost and the performance which structural designers are concerned about is represented by inequalites between the derivatives of the cost and the performances with respect to the design variables.

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