Direct Method for Generating Floor Response Spectra considering Soil–Structure Interaction. Issue 10 (27th July 2022)

• Record Type: Journal Article
• Authors: Jiang, Wei; Zhou, Yang; Xie, Wei-Chau; Pandey, Mahesh D.
• Is Part Of: Journal of earthquake engineering. Volume 26:Issue 10(2022)
• Page Start: 4956
• Page End: 4976
• Publication Date: 2022-07-27
• Subjects: Seismic Analysis -- Floor Response Spectrum -- Direct Method -- Soil-Structure Interaction -- Foundation Level Input Response Spectra; Earthquake engineering -- Periodicals; 624.1762
• DOI: 10.1080/13632469.2020.1852137
• Languages: English
• ISSNs: 1363-2469

Abstract

ABSTRACT: 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-to-spectra 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.