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This paper takes the impact and collision behavior between coal gangue granule and the hydraulic support during the top coal caving mining as the research subject. The impact-contact dynamic model when the rock sphere impact on the any axial direction position of the bilateral fixed supporting, bilateral elastic supporting, and unilateral elastic unilateral fixed supporting metal plate is established respectively, which is conducted with the full consideration of the Flores contact theory (contain the elastic force and damping force), the bending deformation and energy absorption theory of the simply supported beam and the cantilever beam, and the constant stiffness spring compression deformation and energy absorption theory. And the maximum contact responses such as the max contact force, the max sphere rock compression, the max deflection of the metal plate and the max system energy conversion ratio are solved on the basis of the energy conservation law and the recursive solution method. After that, the rock yield velocity when the rock sphere impact on the different supported metal plates is obtained. Finally, we analyze the effects of the elastic supporting, the impact position and the spring stiffness on the yield velocity. The influence of the elastic support, the impact position, the spring stiffness and the metal plate length on the system contact response, as well as the influence of the elastic support on the coal gangue impact response differences are analyzed within the elastic impact velocity range. The research conclusions will provide theoretical references for the contact response problems when the sphere vertical impact on any position of the flexible plate and impact the elastic supporting structures, and provides research foundation for the study of impact behavior in the top coal caving mining between the coal gangue granule and the hydraulic support.