Wavelet Analysis in Civil Engineering

Author: Pranesh Chatterjee
Publisher: CRC Press
ISBN: 1482210568
Format: PDF, ePub, Mobi
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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 excellent resource for users addressing wavelets for the first time.

An Introduction to Random Vibrations Spectral Wavelet Analysis

Author: D. E. Newland
Publisher: Courier Corporation
ISBN: 0486136965
Format: PDF, Docs
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This classic describes and illustrates basic theory, with a detailed explanation of discrete wavelet transforms. Suitable for upper-level undergraduates, it is also a practical resource for professionals.

Wavelets in Geophysics

Author: Efi Foufoula-Georgiou
Publisher: Academic Press
ISBN: 9780122628504
Format: PDF, Mobi
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Applications of wavelet analysis to the geophysical sciences grew from Jean Morlet's work on seismic signals in the 1980s. Used to detect signals against noise, wavelet analysis excels for transients or for spatiallylocalized phenomena. In this fourth volume in the renown WAVELET ANALYSIS AND ITS APPLICATIONS Series, Efi Foufoula-Georgiou and Praveen Kumar begin with a self-contained overview of the nature, power, and scope of wavelet transforms. The eleven originalpapers that follow in this edited treatise show how geophysical researchers are using wavelets to analyze such diverse phenomena as intermittent atmospheric turbulence, seafloor bathymetry, marine and other seismic data, and flow in aquifiers. Wavelets in Geophysics will make informative reading for geophysicists seeking an up-to-date account of how these tools are being used as well as for wavelet researchers searching for ideas for applications, or even new points of departure. Key Features * Includes twelve original papers written by experts in the geophysical sciences * Provides a self-contained overview of the nature, power, and scope of wavelet transforms * Presents applications of wavelets to geophysical phenomena such as: * The sharp events of seismic data *Long memory processes, such as fluctuation in the level of the Nile * A structure preserving decomposition of turbulence signals

Novel Approaches in Civil Engineering

Author: Michel Fremond
Publisher: Springer Science & Business Media
ISBN: 3540452877
Format: PDF, ePub, Mobi
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In this edited book various novel approaches to problems of current interest in civil engineering are demonstrated. The topics range from dynamic band seismic problems to the analysis of long-span structures and ancient buildings. Experts associated within the Lagrange Laboratory present recent research results on functionally-graded or composite materials, granular materials, geotechnics, as well as frictional or adhesive contact problems.

An Introduction to Wavelets

Author: Charles K. Chui
Publisher: Elsevier
ISBN: 1483282864
Format: PDF, Kindle
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Wavelet Analysis and its Applications, Volume 1: An Introduction to Wavelets provides an introductory treatise on wavelet analysis with an emphasis on spline-wavelets and time-frequency analysis. This book is divided into seven chapters. Chapter 1 presents a brief overview of the subject, including classification of wavelets, integral wavelet transform for time-frequency analysis, multi-resolution analysis highlighting the important properties of splines, and wavelet algorithms for decomposition and reconstruction of functions. The preliminary material on Fourier analysis and signal theory is covered in Chapters 2 and 3. Chapter 4 covers the introductory study of cardinal splines, while Chapter 5 describes a general approach to the analysis and construction of scaling functions and wavelets. Spline-wavelets are deliberated in Chapter 6. The last chapter is devoted to an investigation of orthogonal wavelets and wavelet packets. This volume serves as a textbook for an introductory one-semester course on “wavelet analysis for upper-division undergraduate or beginning graduate mathematics and engineering students.

Mechanical Modelling and Computational Issues in Civil Engineering

Author: Michel Fremond
Publisher: Springer Science & Business Media
ISBN: 3540323996
Format: PDF
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In this edited book various novel approaches to problems of modern civil engineering are demonstrated. Experts associated within the Lagrange Laboratory present recent research results in civil engineering dealing both with modelling and computational aspects. Many modern topics are covered, such as monumental dams, soil mechanics and geotechnics, granular media, contact and friction problems, damage and fracture, new structural materials, and vibration damping – presenting the state of the art of mechanical modelling and computational issues in civil engineering.

Non Destructive Testing in Civil Engineering 2000

Author: T. Uomoto
Publisher: Elsevier
ISBN: 9780080545356
Format: PDF, ePub, Docs
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The first international symposium on NDT-CE (Non-Destructive Testing in Civil Engineering) was held in Berlin, Germany in 1991. Successive symposia were held throughout Europe until 1997. This, the 5th symposium is organized as SEIKEN SYMPOSIUM No. 26, and is sponsored by the Institute of Industrial Science, at the University of Tokyo, Japan. Original objectives of the NDT-CE symposium have been to provide an opportunity for discussing current issues and future perspectives of NDT and for promoting mutual understanding among engineers and researchers. Asia is one of the key regions for further development in NDT and this symposium in Japan will be a good opportunity not only to exchange technical information on NDT, but to promote worldwide friendship between engineers in Asian countries and other nations of the world. This volume contains 70 papers providing the most recent research results and findings. The papers are grouped under the following areas: (1) keynote papers, (2) magnetic / electric, (3) steel structures, (4) integrated test, (5) moisture, (6) strength, (7) acoustic emission, (8) various tests, (9) ultrasonic, (10) impact echo, (11) radar, (12) quality and (13) corrosion / cover.

Wavelet Analysis on the Sphere

Author: Sabrine Arfaoui
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110481243
Format: PDF
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The goal of this monograph is to develop the theory of wavelet harmonic analysis on the sphere. By starting with orthogonal polynomials and functional Hilbert spaces on the sphere, the foundations are laid for the study of spherical harmonics such as zonal functions. The book also discusses the construction of wavelet bases using special functions, especially Bessel, Hermite, Tchebychev, and Gegenbauer polynomials.

Adapted Wavelet Analysis

Author: Mladen Victor Wickerhauser
Publisher: CRC Press
ISBN: 143986361X
Format: PDF, ePub, Mobi
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This detail-oriented text is intended for engineers and applied mathematicians who must write computer programs to perform wavelet and related analysis on real data. It contains an overview of mathematical prerequisites and proceeds to describe hands-on programming techniques to implement special programs for signal analysis and other applications. From the table of contents: - Mathematical Preliminaries - Programming Techniques - The Discrete Fourier Transform - Local Trigonometric Transforms - Quadrature Filters - The Discrete Wavelet Transform - Wavelet Packets - The Best Basis Algorithm - Multidimensional Library Trees - Time-Frequency Analysis - Some Applications - Solutions to Some of the Exercises - List of Symbols - Quadrature Filter Coefficients