A lumping method via an inverse modal analysis approach is proposed in this paper for creating a lumped parameter model for a structure with distributed parameters. On the basis of the lumped parameter model, the formulation of an optimal controller in physical state space is presented and, furthermore, the design of a reduced-order controller is described. The method is demonstrated and verified by the vibration and noise control experiments carried out on a clamped plate. Several modes of the plate with high sound radiating efficiencies are well controlled by using three sensors and one actuator, based on a 9 degree-of-freedom (DOF) lumped parameter model of the plate.
Modeling and Feedback Structural Acoustics Control of a Flexible Plate
Contributed by the Technical Committee on Vibration and Sound for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received June 1997; revised Feb. 2000. Associate Editor: R. L. Clark.
Seto, K., Ren, M., and Doi, F. (February 1, 2000). "Modeling and Feedback Structural Acoustics Control of a Flexible Plate ." ASME. J. Vib. Acoust. January 2001; 123(1): 18–23. https://doi.org/10.1115/1.1285987
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