Vibration damping floor system

A method of damping vibrations and absorbing loads in a floor, comprising:

• (i) placing a load on a top surface of a floor, said floor comprising:
• an upper contact surface disposed atop an upper subfloor, the upper subfloor comprising a first resilient pad disposed within an opening of the upper subfloor and beneath the upper contact surface, wherein the first resilient pad is in a compressed state, and is in contact with and generating a force against, (a) the upper contact surface, (b) the upper subfloor, and (c) the lower subfloor;
• a lower subfloor disposed beneath and in contact with the upper subfloor, the lower subfloor comprising a second resilient pad disposed within an opening of the lower subfloor and beneath the upper subfloor, wherein the second resilient pad elevates the bottom of the lower subfloor a distance above a ground surface on which the floor is located;
• a force transfer member disposed above the second resilient pad, the force transfer configured to compress an upper portion of the second resilient pad;
• (ii) absorbing vibrational forces acting on the first resilient pad that are communicated to the first pad through the upper contact surface, the upper subfloor, or the lower subfloor and absorbing forces acting on the second resilient pad that are communicated to the second pad through the force transfer member and the lower subfloor;
• (iii) compressing a portion of the second resilient pad thereby absorbing a top load acting on the floor.