There is a possibility of mechanical energy flow management through the acoustical logical devices (ALDs) with tunable (controllable) spectral characteristics. It is expected that application of such devices may significantly reduce vibrations and noise by performing logical operations on wavefields propagating in the structure. These would include logical N/AND, X/OR operations, frequency filtering, multiplexing, directing energy flow, switching, phase-shifting and amplifying. The purpose of developing the devices able to perform these operations and therefore manage mechanical energy may relate to amplitude-dependent mitigation of vibrations and noise by filtering, partial conversion and internal redirection of wave components to different substructures that possess pre-designed damping characteristics, isolation of selected critical structural parts from noise and vibration in the case of changing excitations and incident fields or dynamic creation of desired noise transmission paths between structural components.