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Seismic stability evaluation of earth structures

TLDR
In this article, an analytical approach is proposed for seismic design evaluation of earth structures like foundations and slopes, based on random vibration principles, which can be directly used to evaluate seismic design inputs defined in terms of response spectra curves.
Abstract
An analytical approach is proposed for seismic design evaluation of earth structures like foundations and slopes. The approach is based on random vibration principles. Seismic design inputs defined in terms of response spectra curves can be directly used. For verification of the proposed approach a comparative study of the results obtained by a rigorous nonlinear analysis approach and the proposed approach is conducted. It is observed that the proposed approach will provide a safe and conservative evaluation of an earth structure design for earthquake induced ground motions.

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Citations
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Book ChapterDOI

Statistical and Probabilistic Methods in Geomechanics

TL;DR: The application of statistical and probabilistic methods in geomechanics is reviewed here and how decision theory concepts can be used to solve some problems by considering the risk as well as the consequences in case of a design failure is discussed.
References
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Journal ArticleDOI

Mathematical analysis of random noise

TL;DR: In this paper, the authors used the representations of the noise currents given in Section 2.8 to derive some statistical properties of I(t) and its zeros and maxima.
Journal ArticleDOI

Classical Normal Modes in Damped Linear Dynamic Systems

TL;DR: In this article, the necessary and sufficient conditions under which both discrete and continuous damped linear dynamic systems possess classical normal modes were determined for both continuous and discrete linear systems, respectively.
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