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Instantaneous earthquake input energy and sensitivity in base‐isolated building
Author(s) -
Yamamoto Kaoru,
Fujita Kohei,
Takewaki Izuru
Publication year - 2011
Publication title -
the structural design of tall and special buildings
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.895
H-Index - 43
eISSN - 1541-7808
pISSN - 1541-7794
DOI - 10.1002/tal.539
Subject(s) - energy (signal processing) , sensitivity (control systems) , frequency domain , acceleration , transfer function , function (biology) , control theory (sociology) , amplitude , mathematics , computer science , mathematical analysis , engineering , physics , electronic engineering , statistics , electrical engineering , quantum mechanics , control (management) , classical mechanics , evolutionary biology , artificial intelligence , biology
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. Copyright © 2009 John Wiley & Sons, Ltd.