The evaluation of impedance functions in the analysis of foundations vibrations using boundary element method


Celebi E., Firat S., ÇANKAYA İ.

APPLIED MATHEMATICS AND COMPUTATION, cilt.173, sa.1, ss.636-667, 2006 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 173 Sayı: 1
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1016/j.amc.2005.04.006
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.636-667
  • Anahtar Kelimeler: soil-structure interaction, boundary element method, three-dimensional frequency domain analysis, substructuring approach, embedded foundations, dynamic excitations, SHAPED EMBEDDED FOUNDATIONS, SOIL-STRUCTURE INTERACTION, LAYERED MEDIUM, HALF-SPACE
  • Gazi Üniversitesi Adresli: Hayır

Özet

The basic step in the substructure approach based on discretization of the soil medium for the soil-structure interaction problems is to determine the impedance functions which are defined as the complex dynamic-stiffness coefficients of the soil-footing system are used in the analysis of foundations vibrations. In this study, the discrete values of impedance functions over wide ranges of frequency-factors are presented for both surface-supported and embedded foundations. The numerical results are obtained by using the substructure approach in the frequency domain which is formulated on basis of the Boundary Element Method derived from the fundamental solution for a homogeneous, isotropic and linear-elastic continuum. To further demonstrate in practical applications and to show the solutions of this type of problems to civil engineers, a comprehensive parametric analysis and systematic calculations are performed with various controlling parameters to evaluate the dynamic response of the vibrating soil-foundation system. In addition, the solutions for normalized stiffness and damping coefficients of foundations in almost all cases of vibration modes are in very good agreement with the published results based on the analytical methods. The obtained numerical results should enable practicing engineers to take into account the linear soil-structure interaction problems over wide ranges of frequency factors. (c) 2005 Elsevier Inc. All rights reserved.