Vibration it can be very harmful – leading to eventual failure of the system. Consequently, one of the major reasons for vibration analysis is to predict when this type of resonance may occur and then to determine what steps to take to prevent it from occurring. As the amplitude plot shows, adding damping can significantly reduce the magnitude of the vibration. Also, the magnitude can be reduced if the natural frequency can be shifted away from the forcing frequency by changing the stiffness or mass of the system. If the system cannot be changed, perhaps the forcing frequency can be shifted
Cube-connected cycles graphs are not pancyclic, they contain cycles of all but a bounded number of possible even lengths, and when "n" is odd they also contain many of the possible odd lengths of cycles. Cube-connected cycles were investigated by , who applied these graphs as the interconnection pattern of a network connecting the processors in a parallel computer. In this application, cube-connected cycles have the connectivity advantages of hypercubes while only requiring three connections per processor. Preparata and Vuillemin showed that a planar layout based on this network has optimal area × time complexity for many parallel processing tasks. Cube-connected cycles