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While viscous damping figures in a huge range of engineering applications, this approach is often adopted more for mathematical convenience than modeling the physics of vibration damping. Over the past decade extensive research has been done on more general non-viscous damping models and vibration of non-viscously damped systems. This book is the first comprehensive text to cover vibration problems with general non-viscous damping, presenting important non-viscous concepts and techniques, including many worked examples relevant across a wide range of mechanical, aerospace, and structural engineering applications.