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A rational H ∞ ‐norm–based approach for the optimal design of seismically excited reinforced concrete frames
Author(s) -
Venini P.,
Ceresa P.
Publication year - 2018
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/eqe.3028
Subject(s) - structural engineering , seismic analysis , displacement (psychology) , norm (philosophy) , reinforced concrete , time domain , acceleration , frame (networking) , frequency domain , engineering , computer science , mathematics , mathematical analysis , mechanical engineering , physics , psychology , classical mechanics , political science , law , computer vision , psychotherapist
Summary A rational approach is presented for minimizing the dynamic response of reinforced concrete framed structures forced by a seismic base acceleration. Reference is made to EC8 regulations, but the presented approach may in principle be applied to structures ruled by any regulation code. Governing equations are set in the frequency domain (and not in the periods domain as usual) so as to enable the adoption of sound approaches for analysis and design of dynamic structures that are typical of automatics. Among these, a novel usage of the H ∞ ‐norm concept is proposed that determines a rational design approach capable to minimize the structural response with reference to any quantity of engineering interest, eg, the overall compliance and the displacement of a specific point or the interstorey drift. A numerical investigation on a 6‐storey 3‐bay frame is performed, and relevant analysis and design results are presented in much detail to validate the theoretical framework.