Wave Propagation in Structures: Spectral Analysis Using Fast Discrete Fourier Transforms

This book introduces spectral analysis as a means of investigating wave propagation and transient oscillations in structures. After developing the foundations of spectral analysis and the FFT (fast Fourier transform) algorithm, the book provides a thorough treatment of waves in rods, beams, and plat [...]
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This book introduces spectral analysis as a means of investigating wave propagation and transient oscillations in structures. After developing the foundations of spectral analysis and the FFT (fast Fourier transform) algorithm, the book provides a thorough treatment of waves in rods, beams, and plates and introduces a novel matrix method for analyzing complex structures as a collection of waveguides. The presentation includes an introduction to higher-order structural theories, the results of many experimental studies, and practical applications. Pertinent problems after each chapter and an extensive bibliography form the basis for further study. Intended as a texbook for graduate students of mechanical or aerospace engineering, the book will also be of interest to practicing engineers in these and related disciplines. This second edition has been revised throughout, incorporating recent developments in hardware and software, such as FFT algorithms, as well as new chapters on structural acoustics and on connected large plates.