Basic Physical and Mechanical Properties of Granular Media -- Granular Dynamic Testing Techniques -- Granular Dynamic Shearing and Its Differential Mechanical Model -- Granular Dynamic Characteristics and Wave Law -- Vibrating Liquefaction of Saturated Granules -- Granular Flowability Theory and Vibrating Aided Flow -- Vibrating Drag Reduction of High Density Slurry Transported by the Pipeline -- Fractal Behavior of Saturated Granules -- Vibrating Ore-drawing Technology. Granular Dynamic Theory and Its Applications introduces both theory and applications in detail, including differential dynamical models of granular shearing, dynamical strength characteristics and the excited response of granules subject to vibration, granular liquefaction properties and the mechanisms under vibration, granular flow theory and vibration-aided flow, propagation laws of waves in granular media and their mechanism, fractal properties of granules, the vibrating ore-drawing technologies, and so on. The book is a useful reference for both theoretical researchers and engineers in the fields of mining engineering and geotechnical engineering; in addition engineers in the fields of metallurgy, coal, railway, road, bridge, water conservancy and hydroelectricity will also benefit from the book.