A clamp system for operatively connecting a vibratory device to a plurality of caissons defining at least first and second diameters comprises a structural member, first and second clamps comprising first and second lock systems, respectively, and a clamp displacement system. The first and second clamps are supported by the structural member. The first and second lock systems fix the first and second clamps relative to the structural member. The clamp displacement system comprises at least one clamp displacement motor supported by the structural member and a mechanical link assembly connected between the at least one clamp displacement motor and the first and second clamps. Operation of the at least one clamp displacement motor allows the first and second clamps to be remotely displaced relative to the structural member such that the first and second clamps are spaced along the structural member as appropriate for either of the first and second diameters. Operation of the first and second locks systems fixes the first and second clamps relative to the structural member.