This book presents various types of aperiodic resonances in the form of a complete theoretical framework for the first time. It makes aperiodic resonance be a new disciplinary direction. In addition to the achievements in existing papers, the book proposes some new methods and discovers some new phenomena about different aperiodic resonances in nonlinear systems. The book includes theoretical analysis methods and their applications in three typical engineering backgrounds. It links theoretical researches on physical phenomena with different engineering problems. It aims to solve engineering problems from a new perspective based on aperiodic resonance theories.