Exact Higher-Order Sensitivity and Variation of Earthquake Energy Input in Soil-Structure Interaction System

Kishida, Akiko; Takewaki, Izuru

doi:10.1260/136943306778827574

Cited by 5 publications

(4 citation statements)

References 17 publications

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“…The representative ones are Tanabashi 1956;Housner 1956Housner , 1959Berg and Thomaides 1960;Goel and Berg 1968;Housner and Jennings 1975;Mahin and Lin 1983;Zahrah and Hall 1984;Akiyama 1985;Uang and Bertero 1990;Leger and Dussault 1992;Kuwamura et al 1994;Fajfar and Vidic 1994;Riddell and Garcia 2001;Ordaz et al 2003. Different from most of the conventional works, the earthquake input energy was formulated in the frequency domain (Page 1952;Lyon 1975, Ordaz et al 2003, Takewaki 2004a, b, 2005a-d, 2006a-c, 2007a, b, 2013a, b, Takewaki and Fujimoto 2004, Takewaki and Fujita 2009, Kishida and Takewaki 2006, 2007 to facilitate the formulation of critical excitation methods and the derivation of bounds of the earthquake input energy.…”

Section: Earthquake Input Energy To Fixed-base Sdof Modelsmentioning

confidence: 99%

Building earthquake resilience in sustainable cities in terms of input energy

Kojima

Fujita

Takewaki

2014

Sustainable Cities and Society

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Input energy to building structures during earthquakes is an important index to measure the influence of earthquake ground motions on building structures. Such input energy can be defined after the structural system is specified and the input mechanism is described clearly. The energy input to structures consists mainly of the energy dissipated by hysteretic deformation and that by viscous damping. The excessive dependence on the former mechanism leads to unrepairable and unpreferable states of structures after earthquakes which should be avoided from the viewpoint of sustainability of building structures and cities. In this sense, the measure of energy is appropriate from the viewpoint of total management of buildings in a sustainable city. Then the upper bound of earthquake input energy is derived and discussed under uncertain conditions on input ground motions. It is shown that the earthquake energy input rate is another key parameter for measuring the instantaneous effect of earthquake ground motions on structural responses. A historical review is also made on the development of treatment of earthquake input energy into buildings and on its role into greater building earthquake resilience in sustainable cities.

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Section: Earthquake Input Energy To Fixed-base Sdof Modelsmentioning

confidence: 99%

Building earthquake resilience in sustainable cities in terms of input energy

Kojima

Fujita

Takewaki

2014

Sustainable Cities and Society

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“…This was derived from Takewaki (2005a) and Kishida and Takewaki (2006). Substitution of the expression of A −1 and application of stiffness and damping parameters as uncertain paremeters into Equation (19) may provide …”

Section: Earthquake Input Energy In Frequency Domainmentioning

confidence: 99%

“…Although a 2‐DOF model has been used to derive a closed‐form sensitivity expression, the numerical evaluation of higher‐order sensitivity and variation to model uncertainties may be possible as shown in Kishida and Takewaki (2006).…”

Section: Maximum Acceleration In Super‐buildingmentioning

confidence: 99%

Instantaneous earthquake input energy and sensitivity in base‐isolated building

Yamamoto

Fujita

Takewaki

2011

Structural Design Tall Build

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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.

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“…This was followed by more studies to investigate the SSI effects on inelastic behaviour of SDOF systems (e.g. Takewaki and Fujimoto [2004], Ghannad and Ahmadnia [2006], Kishida and Takewaki [2006], Ghannad and Jahankhah [2007], Mahsuli and Ghannad [2009], Aviles and Perez-Rocha [2007and 2011], Aydemir [2013, and Khoshnoudian et. al.…”

Section: Introductionmentioning

confidence: 99%

Influence of Higher Modes on Strength and Ductility Demands of Soil–Structure Systems

Ganjavi

Hao

Hajirasouliha

2016

J. Earthquake and Tsunami

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Due to the inherent complexity, the common approach in analysing nonlinear response of structures with soil-structure interaction (SSI) in current seismic provisions is based on equivalent SDOF systems (E-SDOF). This paper aims to study the influence of higher modes on the seismic response of SSI systems by performing intensive parametric analyses on more than 6400 linear and non-linear MDOF and E-SDOF systems subjected to 21 earthquake records. An established soil-shallow foundation-structure model with equivalent linear soil behaviour and nonlinear superstructure has been utilized using the concept of cone models. The lateral strength and ductility demands of MDOF soil-structure systems with different number of stories, structure-to-soil stiffness ratio, aspect ratio and level of inelasticity are compared to those of E-SDOF systems. The results indicate that using the common E-SDOF soil-structure systems for estimating the strength and ductility demands of medium and slender MDOF structures can lead to very un-conservative results when SSI effect is significant. This implies the significance of higher mode effects for soil-structure systems in comparison with fixed-based structures, which is more pronounced for the cases of elastic and low level of inelasticity.

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Exact Higher-Order Sensitivity and Variation of Earthquake Energy Input in Soil-Structure Interaction System

Cited by 5 publications

References 17 publications

Building earthquake resilience in sustainable cities in terms of input energy

Building earthquake resilience in sustainable cities in terms of input energy

Instantaneous earthquake input energy and sensitivity in base‐isolated building

Influence of Higher Modes on Strength and Ductility Demands of Soil–Structure Systems

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