Wavelet Analysis in Civil Engineering

Wavelet Analysis in Civil Engineering explains the importance of wavelets in analyzing nonstationarities in ground motions. The book uses an example of a tank to develop the problem and the model (based on linear assumptions) and explores several case studies—fixed base, flexible base, lateral and rocking motions of foundations, with and without fluid—to explain how to account for ground motion nonstationarities. Bridge vibrations caused by vehicle passage are discussed, as is structural damage identification. Wavelet analytic techniques starting from single-degree-of-freedom systems to multiple-degree-of-freedom-systems are set out and detailed solutions of more complicated problems involving soil and fluid interactions are presented. Separate chapters have been devoted to explaining the basic principles of the wavelet-based random nonstationary vibration analysis of nonlinear systems, including probabilistic analysis.

Comprised of seven chapters, this text:

• Introduces the concept and utility of wavelet transform
• Describes the discretization of ground motions using wavelet coefficients
• Explains how to characterize nonstationary ground motions using statistical functionals of wavelet coefficients of seismic accelerations
• Develops the formulation of a linear single-degree-of-freedom system
• Shows stepwise development of the formulation of a structure idealized as a linear multi-degree-of-freedom system in terms of wavelet coefficients
• Defines wavelet domain formulation of a nonlinear single-degree-of-freedom system
• Introduces the concept of probability in wavelet-based theoretical formulation of a nonlinear two-degree-of-freedom system
• Covers a variety of case studies highlighting diverse applications

Wavelet Analysis in Civil Engineering explains the importance of wavelets in terms of nonstationarities of ground motions, explores the application of wavelet analytic techniques, and is an excellent resource for users addressing wavelets for the first time. In addition, a supplemental set of MATLAB code files is available in an appendix.