Wavelet Analysis in Civil Engineering

Wavelets as a Powerful Signal Processing ToolThe principles of wavelets can be applied to a range of problems in civil engineering structures, such as earthquakeinduced 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 exploredfixed base, flexible base, lateral and rocking motions of foundations, with and without fluidto 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 waveletbased 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 singledegreeoffreedom system Shows stepwise development of the formulation of a structure idealized as a linear multidegreeoffreedom system in terms of wavelet coefficients Defines wavelet domain formulation of a nonlinear singledegreeoffreedom system Introduces the concept of probability in waveletbased theoretical formulation of a nonlinear twodegreeoffreedom system Covers a variety of case studies highlighting diverse applicationsWavelet Analysis in Civil Engineering explains the importance of wavelets in terms of nonstationarities of ground motions, explores the application of wavelet analytic techniques, and is an excellentresource for users addressing wavelets for the first time.