The principles of wavelets can be applied to a range of problems in civil engineering structures, such as earthquake induced vibration analysis, bridge vibrations, and damage identification. This book is particularly useful for graduate students and researchers in vibration analysis, especially those dealing with random vibrations. The book explains the importance of wavelets in terms of ground motion models with non-stationarities. It includes the example of a tank to develop the problem and the model, and explores several case studies.