Mechanical vibrations are the continuing motion, repetitive and often periodic, of a solid or liquid body within certain spatial limits. Vibration occurs frequently in a variety of natural phenomena such as the tidal motion of the oceans, in rotating and stationary machinery, in structures as varied in nature as buildings and ships, in vehicles, and in combinations of these various elements in larger systems. This book examines the study of vibratory phenomena during mechanical grape harvesting, the utility of mechanical vibration methods for studying physical properties of solid materials, the vibration analysis of piecewise and continuously axially graded rods and beams and whole body vibration training, among others.