ANALYSIS AND CONTROL OF VIBRATIONAL POWER TRANSMISSION TO MACHINERY SUPPORTING STRUCTURES SUBJECTED TO A MULTI-EXCITATION SYSTEM .1. DRIVING POINT MOBILITY MATRIX OF BEAMS AND RECTANGULAR-PLATES

The analysis and control of vibration transmission from a machine sour ce to flexible beam- and plate-like supporting structures via the tran slational and rotational motions as well as the coupling between these motions are studied in these three companion papers. In these studies , co-located simultaneously acting sinusoidal force and moment excitat ions are assumed to act on the flexible supporting structures and the transmission of vibrational energy into the structures is expressed in terms of the time-averaged vibrational power. The driving point mobil ity functions of uniform beams and rectangular plates are derived in t he first paper. The existence and contribution of the coupling mobilit y functions in the case of a multi-excitation system give rise to canc ellation of vibrational power components. This observation forms the b asis of the proposed vibration control technique, which is studied in the second paper. The experimental arrangements for validation of the cancellation of vibrational power components and the proposed vibratio n control technique with suitably designed force and moment seatings a re described in the third paper. The proposed vibration control techni que is most suitable for the case of a low to medium constant speed ma chine mounted on a flexible supporting structure. (C) 1996 Academic Pr ess Limited.