Screw-based adjustment mechanism, rail comprising such an adjustment mechanism, and seat comprising such a rail

A screw-based adjustment mechanism, comprising:

• a screw which extends along a longitudinal axis,
• a support having first and second transverse walls substantially perpendicular to the longitudinal axis,
• a casing mounted on the support between the first and second transverse walls of said support, said casing having first and second end faces respectively arranged facing said first and second transverse walls of said support, and said casing having a nut housing which extends along said longitudinal axis and opens at the first and second end faces of the casing in respective and opposite first and second openings, the screw passing through the first and second openings,
• a first elastomer pad interposed in compression between the first transverse wall of the support and the first end face of the casing,
• a second elastomer pad interposed between the second transverse wall of the support and the second end face of the casing,
• a nut screwed onto said screw, the nut being rotatably mounted in the nut housing of the casing, and
• a bearing engaged in the second opening of the casing and traversed by the screw, the nut being in rigid axial abutment against the bearing in the direction of the second opening,
• wherein the nut is in rigid axial abutment against the casing in the direction of the first opening and the bearing is in elastic axial abutment against the second elastomer pad.