A suspension adapted to damp the vibrations generated by a vibrating source body on a receiving body, comprising: - a first energy dissipation system comprising at least one first energy dissipater with controllable dissipation force and at least one first elastic element, - a second energy dissipation system comprising at least one second energy dissipater with controllable dissipation force and at least one second elastic element, - at least one intermediate body, - an electronic control device, - at least one first sensor which can be associated to the receiving body, at least one second sensor which can be associated to the source body and at least one third sensor associated to the at least one intermediate body, to detect instantaneous physical parameters of source body, of receiving body and of the least one intermediate body, wherein the electronic control device can be operated as a function of a control strategy which takes said instantaneous physical parameters into account to control the damping forces of said first and second energy dissipation systems in a combined manner, wherein the at least one first and the at least one second energy dissipaters, the at least one first elastic element and the at least one second elastic element are connected between source body and/or receiving body and/or the at least one intermediate body so that only the adjustment of the damping forces generated by said at least one first and at least one second energy dissipaters modifies: - the static stiffness of the suspension itself, - the transmission curve of the suspension by varying both the peak frequencies and the associated amplitude, - the instantaneous elastic forces produced by the at least one first and second elastic element, in order to optimize the motion features of the receiving body, wherein the receiving body is an upper part (PSUP), the source body is a lower part (PINF), wherein the at least one first energy dissipater is connected between the upper part (PSUP) and the at least one intermediate body, the at least one second energy dissipater is connected between the at least one intermediate body and the lower part (PINF), the at least one first elastic element is connected between the upper part (PSUP) and the lower part (PINF), and the at least one second elastic element is connected between the upper part (PSUP) and the at least one intermediate body. - a first energy dissipation system comprising at least one first energy dissipater with controllable dissipation force and at least one first elastic element, - a second energy dissipation system comprising at least one second energy dissipater with controllable dissipation force and at least one second elastic element, - at least one intermediate body, - an electronic control device, - at least one first sensor which can be associated to the receiving body, at least one second sensor which can be associated to the source body and at least one third sensor associated to the at least one intermediate body, to detect instantaneous physical parameters of source body, of receiving body and of the least one intermediate body, - the static stiffness of the suspension itself, - the transmission curve of the suspension by varying both the peak frequencies and the associated amplitude, - the instantaneous elastic forces produced by the at least one first and second elastic element,