Experimental and numerical investigations of transfer matrix representation of simple centrifugal pendulum vibration absorber

The transfer matrix for a simple centrifugal pendulum vibration absorber (SCPVA), defined based on the vector-type four-pole method, is verified numerically and experimentally using a validation model derived from a downsized model for the drivetrain of a hydroelectric generator. First, a theoretical model and the transfer matrix for the SCPVA are briefly reviewed. Subsequently, a validation system derived from the drivetrain for a hydroelectric generator is introduced along with its dynamic characteristics obtained using the conventional, analytical method involving inertia, damping, and stiffness matrices. Next, SCPVA systems for the first- and second-order rotational vibration of the validation system are designed. In addition, the effects of the SCPVA systems are predicted using theoretical analysis and the transfer matrix method, which confirmed sufficient attenuations in the rotational vibration of the corresponding order. Next, a validation system, including a drive motor and a universal joint, is then built to intentionally generate the second-order rotational vibration. Rotational vibration responses of the system are measured using an incremental encoder and a data recorder. Finally, samples for the SCPVA are developed and then applied to the validation system. The effects of the SCPVAs are identified by comparing the vibration response of the validation system with SCPVA(s) with those of the original system. The comparison results clearly validate the transfer matrix for the SCPVA in terms of effectiveness of the SCPVA(s).