Instantaneous earthquake input energy and sensitivity in base‐isolated building

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.

[1]  D. Wald,et al.  Response of High-Rise and Base-Isolated Buildings to a Hypothetical Mw 7.0 Blind Thrust Earthquake , 1995, Science.

[2]  Marvin W. Halling,et al.  Near-Source Ground Motion and its Effects on Flexible Buildings , 1995 .

[3]  Takashi Yamane,et al.  Optimum design and earthquake-response constrained design of elastic shear buildings , 1986 .

[4]  R. S. Jangid,et al.  Effects of Isolation Damping on Stochastic Response of Structures with Nonlinear Base Isolators , 1998 .

[5]  Koichi Takanashi,et al.  A SIMPLE METHOD TO ESTIMATE THE STATISTICAL PARAMETERS OF ENERGY INPUT TO STRUCTURES DURING EARTHQUAKES , 1985 .

[6]  Koichi Takanashi,et al.  ENERGY INPUT RATE SPECTRA OF EARTHQUAKE GROUND MOTIONS , 1991 .

[7]  Izuru Takewaki.  Probabilistic Critical Excitation Method for Earthquake Energy Input Rate , 2006 .

[8]  Izuru Takewaki,et al.  Uncertain-parameter sensitivity of earthquake input energy to base-isolated structure , 2005 .

[9]  Mark Austin,et al.  Energy Balance Assessment of Base-Isolated Structures , 2004 .

[10]  R. S. Jangid,et al.  Base isolation for near‐fault motions , 2001 .

[11]  Leonard Meirovitch,et al.  Nonlinear Control of Structures in Earthquakes , 1997 .

[12]  Alex H. Barbat,et al.  Active Control of Nonlinear Base-Isolated Buildings , 1995 .

[13]  Mario Ordaz,et al.  Exact computation of input‐energy spectra from Fourier amplitude spectra , 2003 .

[14]  G. W. Housner,et al.  Behavior of Structures During Earthquakes , 1959 .

[15]  C. Page.  Instantaneous Power Spectra , 1952 .

[16]  C. A. Morales,et al.  Transmissibility concept to control base motion in isolated structures , 2003 .

[17]  Hiroshi Akiyama,et al.  Prediction of earthquake energy input from smoothed fourier amplitude spectrum , 1994 .

[18]  Earl H. Dowell,et al.  Asymptotic Modal Analysis and Statistical Energy Analysis of Dynamical Systems , 1985 .

[19]  Mihailo D. Trifunac,et al.  On Energy Flow in Earthquake Response , 2001 .

[20]  Izuru Takewaki,et al.  BOUND OF EARTHQUAKE INPUT ENERGY , 2004 .

[21]  Izuru Takewaki,et al.  Resonant behaviour of base‐isolated high‐rise buildings under long‐period ground motions , 2006 .

[22]  C. Uang,et al.  Evaluation of seismic energy in structures , 1990 .

[23]  Izuru Takewaki,et al.  Bound of aspect ratio of base-isolated buildings considering nonlinear tensile behavior of rubber bearing , 2008 .

[24]  Izuru Takewaki,et al.  Exact Higher-Order Sensitivity and Variation of Earthquake Energy Input in Soil-Structure Interaction System , 2006 .

[25]  Farzad Naeim,et al.  Design of seismic isolated structures , 1999 .

[26]  Izuru Takewaki,et al.  Hybrid Inverse Eigenmode Problem for a Shear Building Supporting a Finite Element Subassemblage , 1998 .

[27]  秋山 宏,et al.  Earthquake-resistant limit-state design for buildings , 1985 .

[28]  Izuru Takewaki,et al.  Frequency domain modal analysis of earthquake input energy to highly damped passive control structures , 2004 .

[29]  Kohei Fujita,et al.  Earthquake input energy to tall and base‐isolated buildings in time and frequency dual domains , 2009 .