The present invention relates to an acoustic metamaterial structure for impact vibration mitigation by controlling nonlinear contact properties and a formation method thereof. More specifically, the acoustic metamaterial structure for impact vibration mitigation by controlling nonlinear contact properties includes one or more acoustic metamaterial unit elements of a round bar shape having a long length in one direction. The acoustic metamaterial unit elements are arranged in parallel to have prescribed intervals to form a unit element layer forming a single layer. A plurality of the unit element layers are alternately stacked to form an acoustic metamaterial structure. Coupling units formed on acoustic metamaterial unit elements of vertically formed unit element layers come in contact with each other to be alternately stacked on the acoustic metamaterial structure. The coupling units have coupling grooves or protrusions formed on an outer circumferential surface of an upper portion of acoustic metamaterial unit elements to be coupled to a unit element layer coming in contact with an upper portion thereof, and coupling grooves or protrusions formed on an outer circumferential surface of a lower portion to be coupled to a unit element layer coming in contact with a lower portion thereof, or flat grooves dented on one side thereof in parallel in a prescribed depth to allow acoustic metamaterial unit elements to be placed thereon to be coupled to a unit element layer coming in contact with an upper or a lower portion of acoustic metamaterial unit elements to control nonlinear contact properties of the acoustic metamaterial structure to have an impact mitigation effect of the acoustic metamaterial and allow reuse to be used as a structural member of a mechanical system.
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