Abstract:Ultrasonic loading, characterized by concentrated energy, good directionality, and high-frequency low-amplitude attributes, induces cumulative internal cracks within ores, leading to significant damage and improved rock-breaking efficiency. To investigate the role of ultrasonic loading in the ore crushing process, we establish a theoretical model based on elastic mechanics and linear superposition theory. This model examines the influence of various parameters on internal stress and displacement subsidence in ores under ultrasonic vibration. The results reveal that maximum axial and shear stresses in ores are directly proportional to static loads and inversely proportional to the radius of load application. Vibration frequency does not affect the stress amplitudes but enhances ore fatigue characteristics. Dynamic-static loading generates larger surface displacements in ores compared to static loading alone, making ores more prone to damage. Minerals with different material properties exhibit varying displacements under ultrasonic vibration, with greater elastic modulus corresponding to smaller displacement.