This book introduces spectral analysis as a means of solving wave propagation and transient motion problems in structures. After a foundation of spectral analysis and the use of the fast Fourier transform (FFT) algorithm is developed, an in-depth spectral treatment of waves in rods, beams, and plates is then given. This culminates in a novel matrix method for analyzing complex structures as a collection of connected waveguides. The close relationship between the important areas of vibrations, modal analysis, and waves is ...
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This book introduces spectral analysis as a means of solving wave propagation and transient motion problems in structures. After a foundation of spectral analysis and the use of the fast Fourier transform (FFT) algorithm is developed, an in-depth spectral treatment of waves in rods, beams, and plates is then given. This culminates in a novel matrix method for analyzing complex structures as a collection of connected waveguides. The close relationship between the important areas of vibrations, modal analysis, and waves is brought out elegantly through this approach. The coverage is complete and includes: many experimental studies, an introduction to higher-order structural theories, source code listings for many of the computer programs used, and an extensive bibliography. This book is intended for practicing and research engineers in the areas of vibrations, acoustics, and structural dynamics. The level of treatment and use of examples also makes it suitable as a textbook for a graduate course on wave propagation or structural dynamics.
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