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Wavelet Analysis in Civil Engineering (Paperback)
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Wavelet Analysis in Civil Engineering (Paperback)
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Wavelets as a Powerful Signal Processing Tool The principles of
wavelets can be applied to a range of problems in civil engineering
structures, such as earthquake-induced vibration analysis, bridge
vibrations, and damage identification. This book is particularly
useful for graduate students and researchers in vibration analysis,
especially those dealing with random vibrations. Wavelet Analysis
in Civil Engineering explains the importance of wavelets in
analyzing nonstationarities in ground motions. The example of a
tank is considered to develop the problem and the model (based on
linear assumptions) and several case studies are explored-fixed
base, flexible base, lateral and rocking motions of foundations,
with and without fluid-to explain how to account for ground motion
nonstationarities. Bridge vibrations caused by vehicle passage are
explored, as is structural damage identification. Wavelet analytic
techniques starting from single degree of freedom systems to
multiple degree of freedom systems are set out and detailed
solutions of more complicated problems involving soil and fluid
interactions are presented. Separate chapters have been devoted to
explaining the basic principles of the wavelet-based random
nonstationary vibration analysis of nonlinear systems, including
probabilistic analysis. Comprised of seven chapters, this text:
Introduces the concept and utility of wavelet transform Describes
the discretization of ground motions using wavelet coefficients
Explains how to characterize nonstationary ground motions using
statistical functionals of wavelet coefficients of seismic
accelerations Develops the formulation of a linear
single-degree-of-freedom system Shows stepwise development of the
formulation of a structure idealized as a linear
multi-degree-of-freedom system in terms of wavelet coefficients
Defines wavelet domain formulation of a nonlinear
single-degree-of-freedom system Introduces the concept of
probability in wavelet-based theoretical formulation of a nonlinear
two-degree-of-freedom system Covers a variety of case studies
highlighting diverse applications Wavelet Analysis in Civil
Engineering explains the importance of wavelets in terms of
non-stationarities of ground motions, explores the application of
wavelet analytic techniques, and is an excellentresource for users
addressing wavelets for the first time.
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