An efficient model of an equipment loaded panel for active control design studies

An effective investigation of alternative control strategies for the reduct ion of vibration levels in satellite structures requires realistic, yet eff icient, structural models to simulate the dynamics of the system. These mod els should include the effects of the sources, receivers, supporting struct ure, sensors, and actuators. In this paper, a modeling technique which meet s these requirements is developed and some active control strategies are br iefly investigated. The particular subject of investigation is an equipment -loaded panel and the equations of motion are derived using the Lagrange-Ra yleigh-Ritz (LRR) approach. The various pieces of equipment on the panel ar e mounted on active or passive suspensions, and resonators are used to repr esent the internal dynamics of the mounted equipment. Control of the panel, which transmits vibrations from sources to receivers, is by means of piezo electric patches and the excitation consists of dynamic loads acting on the equipment enclosures and/or directly on the panel. The control objective i s to minimize the displacement at an arbitrary output location. The LRR mod el developed is verified against one produced by using the finite-element m ethod. Finally, some initial controller design studies are undertaken to in vestigate and compare the effectiveness of different control strategies (e. g., minimization at the source, along the vibration path, or at the receive r). (C) 2000 Acoustical Society of America. [S0001-4966(00)01909-3].