The present invention relates to a connection device of the safety of a first body (4) to a second body (5). The first and second (38) (30) tubular portions are connected by a means of gaseous transfer of the vibrations (26), at least under a force threshold determined. It comprises at least two pressure chambers (27, 28) filled with a liquid under pressure. The two pressure chambers (27, 28) are secured to one between said first tubular portion (38) and said second tubular portion (30). The two pressure chambers (27, 28) are separated by at least one piston (29) which is integral with the other (30) between said first tubular portion (38) and said second tubular portion (30). Use in particular in order to fix a turbojet with a mat of attachment of an aircraft.
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