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Closed-form stochastic response of linear building structures to spectrum-consistent seismic excitations

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journal contribution
posted on 19.08.2019, 15:59 authored by Giorgio Barone, Francesco Lo Iacono, Giacomo Navarra, Alessandro PalmeriAlessandro Palmeri
Design codes typically define the seismic action in terms of pseudo-acceleration response spectra, encouraging the use of the modal superposition method for the evaluation of the structural response. For linear structural systems, provided that the ground shaking has been appropriately modelled, the full characterization of the response processes of interest can be achieved with the application of random vibration theory. An analytical model for the power spectral density (PSD) functions consistent with seismic response spectra has been recently proposed. In this paper, taking advantage of this novel PSD model, closed-form approximate expressions of the spectral moments are derived and numerically validated for the seismic response of single- and multi-degree of freedom systems. For demonstration purposes, the proposed formulation is applied to the case of base isolated multi-story buildings, aimed at overcoming the difficulties associated with the non-classical nature of their damping. The paper shows how the proposed approach can be used for a computationally efficient evaluation of the probabilistic distribution of the structural response maxima.

History

School

  • Architecture, Building and Civil Engineering

Published in

Soil Dynamics and Earthquake Engineering

Volume

125

Publisher

Elsevier

Version

AM (Accepted Manuscript)

Rights holder

© Elsevier Ltd

Publisher statement

This paper was accepted for publication in the journal Soil Dynamics and Earthquake Engineering and the definitive published version is available at https://doi.org/10.1016/j.soildyn.2019.105724.

Acceptance date

11/06/2019

Publication date

2019-07-16

Copyright date

2019

ISSN

0267-7261

Language

en

Depositor

Dr Alessandro Palmeri

Article number

105724