Identification of the Foundation Stiffness of Large Structure as an Inverse Problem

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  • 逆問題的手法による大型構造物の基礎の剛性評価
  • ギャクモンダイテキ シュホウ ニ ヨル オオガタ コウゾウブツ ノ キソ ノ ゴウセイ ヒョウカ

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Abstract

When analyzing the strength of large structures, the stiffness of the foundation, on which the structure is placed, might significantly affect the numerical results. In order to take account of the foundation stiffness, therefore, the lower surface of the structure, which is in contact with the foundation, is frequently treated as spring-supported boundaries. Meanwhile, it is not necessarily easy to estimate the foundation stiffness with sufficient accuracy for the purpose of implementing numerical analyses. In this paper, a finite element approach to estimate the foundation stiffness as an inverse problem is proposed, where the target large structure is placed on the elastic foundation that are modeled as groups of one-dimensional spring elements in parallel. The magnitude of the spring constant that represents the foundation stiffness can exactly be calculated algebraically in terms of the same number of measured surface displacements. In the numerical analyses, unknown are the diagonal components of the global stiffness matrix that include the effect of the foundation stiffness. The validity and the accuracy of the proposed numerical method are verified by comparing the numerical results to the exact solutions for a bending problem of a cantilever that is supported by a single spring element.

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