Wavelet Methods for Dynamical Problems —— With Application to Metallic, Composite, and Nano-Composite Structures

----- 动力学问题小波方法：应用到金属，复合材料，和纳米复合结构

ISBN: 9781439804612 出版年：2010 页码：299 Gopalakrishnan, S Mitra, Mira CRC Press

Introduction Solution of structural dynamics problem Solution of wave propagation problem Objective and outline of the book Integral Transform Methods Laplace transform Fourier transform Wavelet transform Structural Dynamics: Introduction and Wavelet Transform Free vibration of single degree of freedom systems Forced vibration of SDOF system Harmonic loading Response to arbitrary loading Response of SDOF through wavelet transform Free vibration of multi degree of freedom system Modal analysis for forced vibration response of MDOF Response of MDOF system using wavelet transform Wave Propagation: Spectral Analysis Spectrum and dispersion relations Computations of wavenumbers and wave amplitudes Spectral finite element (SFE) method FSFE formulation of Timoshenko beam FSFE formulation of isotropic plate under in-plane loading Wavelet Spectral Finite Element: Time Domain Analysis Reduction of wave equations for a rod Decoupling using eigenvalue analysis Wavelet spectral finite element formulation for a rod Time domain response of elementary rod under impulse load Reduction of wave equations for Euler-Bernoulli beam WSFE formulation for Euler-Bernoulli beam Time domain response of Euler-Bernoulli beam under impulse load Wave propagation in frame structure Governing differential wave equations for higher order composite beam WSFE formulation for composite beam Time domain response of higher order composite beam Wavelet Spectral Finite Element: Frequency Domain Analysis Frequency domain analysis: periodic boundary condition Computation of wavenumbers and wave speeds Constraint on time sampling rate Wavelet Spectral Finite Element: Two-Dimensional Structures Governing differential wave equations for isotropic plate Reduction of wave equations through temporal approximation Reduction of wave equations through spatial approximation Wavelet spectral finite element for plate Wave propagation in isotropic plates Governing differential wave equations for axisymmetric cylinder Bessel function solution for axisymmetric cylinder Wave Propagation in isotropic axisymmetric cylinders Vibration and Wave Propagation in Carbon Nanotubes Carbon nanotubes: introduction Axisymmetric shell model of single-walled carbon nanotubes Thin shell model of multi-walled carbon nanotubes Frequency domain analysis| Time domain analysis Vibration and Wave Propagation in Nano-Composites Introduction: nano-composites Beam model of MWNT embedded nano-composite Spectral finite element formulation for MWNT embedded nanocomposite beam Frequency domain analysis Time domain analysis Shell model of SWNT-polymer nano-composite Time domain analysis Inverse Problems Force reconstruction Numerical examples of impulse force reconstruction Damage modeling and detection Modeling of de-lamination in composite beam Damage detection and de-noising using wavelet analysis Wave propagation in delaminated composite beam and damage detection References Index