This text is designed for senior-level undergraduate students in engineering and the applied sciences, and for postgraduate students studying vibration and signal analysis. It may also be used as a reference by engineers doing wavelet analysis. A major development in vibration analysis, the wavelet transform is a new method of signal decomposition introduced in this text. Material from the second edition on random vibrations and spectral analysis is included, as well as a new chapter on wavelet analysis. Basic theory is thoroughly described and illustrated, and computer algorithms are explained and supported by examples and problem sets.