A Hybrid Method of Thin-Layered-Element and Finite-Element Methods without Explicit Soil Stiffness Matrix in Embedded Foundation Vibration Problems

DOI
  • SAKA Toshihide
    Building Analysis Group, Kajima Technical Research Institute
  • OGATA Seijiro
    Structural Engineering Department, Architectural Design Division, Kajima Corporation
  • KOISO Toshihiro
    Building Analysis Group, Kajima Technical Research Institute
  • IWAMOTO Kenji
    Building Analysis Group, Kajima Technical Research Institute

Bibliographic Information

Other Title
  • 埋め込み基礎の振動問題を対象とした明示的な地盤剛性が不要な薄層要素法と有限要素法のハイブリッド法

Description

This paper describes a novel computational algorithm of a hybrid method composed of the thin-layered-element and the finite-element methods to obtain the vibrational responses of foundations embedded in soil. The modified-displacement method, which can efficiently solve a modified system of linear equations, is incorporated into the conventional hybrid method in order to avoid inverting a free-field flexibility matrix. Since the floating-point operations of the inverting operation, which is needed to acquire the soil stiffness matrix explicitly, dominates the whole calculating work of the conventional method, the proposed method may extremely reduce computational time. It is concluded that the floating-point operation counts of the proposed method is less than that of the conventional method, and the ratio of these two numbers is proportional to the cubes of the ratio of the number of degrees of freedom of embedded foundations and substructures to that of the whole system. The computational accuracy and efficiency of the proposed method are demonstrated through numerical examples.

Journal

Keywords

Details 詳細情報について

  • CRID
    1390282679449884800
  • NII Article ID
    130005066089
  • DOI
    10.11421/jsces.2015.20150005
  • ISSN
    13478826
    13449443
  • Text Lang
    ja
  • Data Source
    • JaLC
    • CiNii Articles
  • Abstract License Flag
    Disallowed

Report a problem

Back to top