Wavelet Methods for Dynamical Problems

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, the text examines the implementation of wavelet transform for simulating the response of an MDOF system and then discusses the development of a wavelet-based simulation scheme for wave propagation analysis. The chapters also address wave propagation analysis of carbon nanotubes and the application of wave propagation studies for structural health monitoring, force identification, and control of wave transmission.Covers the application of wavelet transform for solution of structural dynamics and wave propagationPresents an integral approach to multi-disciplinary topics like wavelets, signal processing, integral transform, computational mechanics, structural dynamics and nano-technologyIncludes two chapters on wavelet based simulation of dynamical and wave properties of carbon nanotubes and nano-compositesProvides MATLAB routines for different applications