Instantaneous earthquake input energy and sensitivity in base-isolated building

Kaoru Yamamoto, Kohei Fujita, Izuru Takewaki

Research output: Contribution to journalArticle

26 Citations (Scopus)

Abstract

The input energy and energy input rate to a base-isolated (BI) building during an earthquake are considered and formulated in the frequency domain. The frequency-domain approach for computation of input energy and energy input rate has different remarkable advantages compared with the conventional time-domain approach. It is demonstrated that the input energy can be of a compact form via the frequency integration of the product between the input component (squared Fourier amplitude spectrum of acceleration) and the structural model component (so-called energy transfer function). Furthermore, the energy input rate can also be of a similar form via the frequency integration of the product between the instantaneous power spectrum and the energy transfer function. With the help of this compact form, it is shown that the formulation in the frequency domain is essential for deriving arbitrary-order closed-form sensitivities of the input energy and energy input rate with respect to uncertain stiffness and damping coefficients in the BI storey. The closed-form sensitivity expressions provide us with information on the most unfavourable variation of the uncertain parameters that leads to the maximum input energy and input rate.

Original languageEnglish
Pages (from-to)631-648
Number of pages18
JournalStructural Design of Tall and Special Buildings
Volume20
Issue number6
DOIs
Publication statusPublished - Oct 1 2011
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Civil and Structural Engineering
  • Architecture
  • Building and Construction

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