Reduced-mass floating-nut system and method for assembling two parts using said system

An assembly comprising:

• a first part comprising a first opening having a first axis of rotation;
• a second part comprising a second opening;
• a screw that is inserted into and through the first opening and the second opening;
• and
• a floating-nut system assembling the first part with the second part using the screw, the system comprising:
• at least one elastomer cage device comprising:
• a first cylinder that is hollow and has a second axis of revolution and an outside diameter substantially equal to a diameter of the second opening, wherein the first cylinder is introduced into the second opening via a first end of the first cylinder;
• a first collar projecting around a second end of the first cylinder on an external surface of the first cylinder, the first collar having a diameter greater than a diameter of the second opening;
• and
• a second collar projecting around the first end of the first cylinder on an external surface of the first cylinder, wherein the second collar:
• has a diameter greater than the diameter of the second opening;
• is elastically deformable so that the second collar is configured to bend against the first cylinder in order to pass through the second opening when a user forces the cage device to pass through the second opening in a direction parallel to the second axis of revolution;
• and
• is configured to return to an unbent state after having passed through the second opening;
• and
• a nut device comprising:
• a second cylinder that is hollow and has a third axis of revolution, which is parallel to the second axis of revolution, and an internal surface comprising a screw thread, with which the screw engages as the screw is screwed in;
• and
• a washer secured to the second cylinder, wherein the washer extends entirely around the second cylinder, has a diameter greater than the diameter of the second opening, is embedded in the first collar, and is presses the first collar against the second part when the screw is screwed into the screw thread;
• wherein the first cylinder is deformable as the screw is screwed in, so that the first axis of revolution and the third axis of revolution become substantially coincident with each other when a screw is screwed into the screw thread.