Plant structure, especially a cryogenic plant structure, comprising at least two apparatuses (1, 2) each supported by a base support device (3, 4), or one being secured to the other by a separating support device (6), and being furthermore linked by at least one linking device (5) attached at two respective points on the two apparatuses, characterized in that at least two of its components among the support devices (3, 4;
- 6) and the linking device (5) are made, over at least part of their length, of different materials having among the expansion coefficient and the thermal conductivity coefficient at least one coefficient whose respective values are different, so that when the plant goes from inactivity at ambient temperature to steady-state operation with the said apparatuses at a temperature very different from ambient temperature, and vice versa, the variations in length of the said components (3, 4;
- 6, 5) made of different materials over at least part of their length are concomitant so as substantially to avoid mechanical stresses on the linking device (5) resulting from a relative displacement of the points of attachment of the linking device to the two apparatuses (1, 2).