Closed-Form Sensitivity of Earthquake Input Energy to Soil-Structure Interaction System
Publication: Journal of Engineering Mechanics
Volume 133, Issue 4
Abstract
The input energy to a soil-structure interaction (SSI) system during earthquake shaking is taken as a structural performance measure and is formulated in the frequency domain. The purpose of this paper is to derive the closed-form expression of the sensitivity of the input energy to the SSI system with respect to uncertain parameters representing soil stiffness and damping. It is demonstrated first that the input energy expression can be of a compact form consisting of the product between the input motion component (Fourier amplitude spectrum of acceleration) and the structural model component (so-called energy transfer function). With the help of this compact form, it is shown that the formulation of earthquake input energy in the frequency domain is essential for deriving the closed-form expressions of the sensitivity of the input energy to the SSI system with respect to uncertain parameters in contrast to the time-domain formulation including inevitable numerical error and instability. This formulation is then extended to a multidegree-of-freedom superstructure model. Numerical examples support the fact that the closed-form expressions enable one to find in a reliable and efficient way the most critical combination of the uncertain parameters that leads to the maximum energy input.
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Acknowledgments
Part of the present work is supported by a grant from the Kajima Foundation and Grant-in-Aid for Scientific Research from the Japan Society for the Promotion of Science (Nos. 16560496 and 18360264). Their support is greatly appreciated.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 133 • Issue 4 • April 2007
Pages: 389 - 399
Copyright
© 2007 ASCE.
History
Received: Nov 10, 2004
Accepted: Aug 28, 2006
Published online: Apr 1, 2007
Published in print: Apr 2007
Notes
Note. Associate Editor: Nicos Makris
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