Abstract
This work considers passive damping treatments that dynamically interact with plates over areas that are much smaller than a flexural wavelength. Each treatment is modeled as a frequency-dependent admittance presented to the plate at a point. The frequency-dependence is required to satisfy the causality and minimum phase conditions, which are implicitly enforced via a specialized Fourier series in frequency. The Fourier coefficients, as well as the positions of the attachments, are regarded as optimization parameters to be varied so as to globally decrease plate vibrations over a frequency band of interest. Various cost functions are considered, such as the sum of modal loss factors over the band as well as acoustic radiation efficiencies. Examples involving a simply supported plate excited by a point force illustrate the approach. [Work supported by ONR under Grant No. N000140810531.]
Published Version
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