:with application to metallic, composite, and nano-composite structures
First Statement of Responsibility
/ S. Gopalakrishnan, Mira Mitra
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Boca Raton, FL
Name of Publisher, Distributor, etc.
: CRC Press/Taylor & Francis Group,
Date of Publication, Distribution, etc.
, c2010.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
xxii, 276 p.
Other Physical Details
: ill.
Dimensions
; 25 cm.
NOTES PERTAINING TO PUBLICATION, DISTRIBUTION, ETC.
Text of Note
Print - Electronic
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references (p. 265-272) and index.
CONTENTS NOTE
Text of Note
"Considering that wavelet transforms have proved useful in the solution and analysis of engineering mechanics problems, up to now there has been no sufficiently comprehensive text on this use. Wavelet Methods for Dynamical Problems: With Application to Metallic, Composite, and Nano-Composite Structures addresses this void, exploring the special value of wavelet transforms and their applications from a mechanical engineering perspective. It discusses the use of existing and cutting-edge wavelet methods for the numerical solution of structural dynamics and wave propagation problems." "Available books on wavelet transforms generally cover their mathematical aspects and effectiveness in signal processing and as approximation bases for solution of differential equations. However, this book discusses how wavelet transforms are an optimal tool for solving ordinary differential equations obtained by modeling a structure. It also demonstrates the use of wavelet methods in solving partial differential wave equations related to structural dynamics, a topic that has not been sufficiently explored in the literature to this point. Many well-established transforms, such as Fourier, have severe limitations in handling finite structures and specifying non-zero boundary/initial conditions. As a result, they have limited utility in solving real-world problems involving high frequency excitation." "This book carefully illustrates how the use of wavelet techniques removes all these shortcomings and has a potential to become a sophisticated analysis tool for handling dynamical problems in structural engineering. Designed to be useful for both professional researchers and graduate students alike, it provides MATLAB scripts that can be used to solve problems and numerical examples that illustrate the efficiency of wavelet methods and emphasize the physics involved."--BOOK JACKET.
Text of Note
Introduction -- Integral transform methods -- Structural dynamics : introduction and wavelet transform -- Wave propagation : spectral analysis -- Wavelet spectral finite element : time domain analysis -- Wavelet spectral finite element : frequency domain analysis -- Wavelet spectral finite element : two-dimensional structures -- Vibration and wave propagation in carbon nanotubes -- Vibration and wave propagation in nano-composites -- Inverse problems.
TOPICAL NAME USED AS SUBJECT
Strength of materials--Mathematical models
Wavelets (Mathematics)
Inverse problems (Differential equations)
DEWEY DECIMAL CLASSIFICATION
Number
620
.
1
.
120151863
LIBRARY OF CONGRESS CLASSIFICATION
Class number
TA407
Book number
.
G637
2010
PERSONAL NAME - PRIMARY RESPONSIBILITY
Gopalakrishnan, S
PERSONAL NAME - SECONDARY RESPONSIBILITY
Mitra, Mira
ORIGINATING SOURCE
Country
ایران
ELECTRONIC LOCATION AND ACCESS
Host name
Wavelet Methods for Dynamical Problems: With Application to Metallic, Composite, and Nano-Composite Structures