Wavelet Methods for Dynamical Problems
With Application to Metallic, Composite, and Nano-Composite Structures
Seiten
2010
Crc Press Inc (Verlag)
978-1-4398-0461-2 (ISBN)
Crc Press Inc (Verlag)
978-1-4398-0461-2 (ISBN)
Explaining wavelet transform from a mechanical engineering perspective, this book discusses the numerical solution of structural dynamics and wave propagation problems using wavelet transform methods. After an introduction to signal processing aspects, it examines the implementation of wavelet transform for simulating MDOF system.
Employs a Step-by-Step Modular Approach to Structural Modeling
Considering that wavelet transforms have also 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 in dynamical systems.
Existing 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 equations related to structural dynamics, which have not been sufficiently explored in the literature to this point.
Presents a new wavelet based spectral finite element numerical method for modeling one-, and two-dimensional structures
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.
Covers the use of wavelet transform in force identification and structural health monitoring
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.
Employs a Step-by-Step Modular Approach to Structural Modeling
Considering that wavelet transforms have also 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 in dynamical systems.
Existing 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 equations related to structural dynamics, which have not been sufficiently explored in the literature to this point.
Presents a new wavelet based spectral finite element numerical method for modeling one-, and two-dimensional structures
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.
Covers the use of wavelet transform in force identification and structural health monitoring
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.
Dr. S. Gopalakrishnan is a professor in the Department of Aerospace Engineering at Indian Institute of Science, Bangalore. Dr. M. Mitra is an assistant professor in the Department of Aerospace Engineering at Indian Institute of Technology Bombay, Mumbai.
Introduction. Integral Transform Methods. Structural Dynamics: Introduction and Wavelet Methods. 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. Applications: Inverse Problems, Control of Waves.
Erscheint lt. Verlag | 19.3.2010 |
---|---|
Zusatzinfo | 4 Tables, black and white; 129 Illustrations, black and white |
Verlagsort | Bosa Roca |
Sprache | englisch |
Maße | 156 x 234 mm |
Gewicht | 566 g |
Themenwelt | Technik ► Umwelttechnik / Biotechnologie |
ISBN-10 | 1-4398-0461-3 / 1439804613 |
ISBN-13 | 978-1-4398-0461-2 / 9781439804612 |
Zustand | Neuware |
Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
Kommentar der DIN 15905-5, LärmVibrationsArbSchV und …
Buch | Softcover (2023)
DIN Media (Verlag)
58,00 €
Buch | Softcover (2023)
DIN Media (Verlag)
75,40 €
Buch | Spiralbindung (2022)
Deutsche Vereinigung für Wasserwirtschaft, Abwasser und … (Verlag)
25,00 €