4.5 Article

Direct Method for Generating Floor Response Spectra considering Soil-Structure Interaction

Journal

JOURNAL OF EARTHQUAKE ENGINEERING
Volume 26, Issue 10, Pages 4956-4976

Publisher

TAYLOR & FRANCIS LTD
DOI: 10.1080/13632469.2020.1852137

Keywords

Seismic Analysis; Floor Response Spectrum; Direct Method; Soil-Structure Interaction; Foundation Level Input Response Spectra

Funding

  1. Natural Sciences and Engineering Research Council of Canada (NSERC)
  2. University Network of Excellence in Nuclear Engineering (UNENE)

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A methodology is developed for generating floor response spectra (FRS) considering the effect of dynamic soil-structure interaction (SSI) using the substructure technique and a direct spectra-to-spectra method. The method is accurate and efficient in modeling FRS with different Non-Exceedance Probability (NEP) levels and highlights the advantages of considering SSI in the analysis.
A methodology is developed for generating floor response spectra (FRS) considering the effect of dynamic soil-structure interaction (SSI) based on the substructure technique and a recently-developed direct spectra-tospectra method. Dynamic stiffness matrix of a three-dimensional structure with a rigid foundation subject to three translational and three rotational base excitations is derived, and is expressed in terms of the modal information of the structure. A transfer matrix, depending on the dynamic stiffness matrices of the structure-foundation system and generalized soil springs, is developed to modify the tri-directional response spectra at the foundation level of free-field (FIRS) in soil medium. The modified response spectra, called foundation level input response spectra (FLIRS), are used as the input to the fixed-base structure to generate FRS using the direct spectra-to-spectra method. Numerical examples of a reactor building and a service building in nuclear power plants demonstrate the accuracy and efficiency of the proposed method. FRS with 50% and 84% Non-Exceedance Probability (NEP) given by the proposed method agree well with the FRS obtained from a large number of time history analyses. Furthermore, the effect of SSI on FRS is studied, the physical meaning, and the advantages of the proposed method are highlighted.

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