A modal model for actively controlled double-glazed windows

ISSN： 1610-1928

Source： Acta Acustica united with Acustica, Vol.89, Iss.3, 2003-05, pp. : 479-493

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Abstract

In this paper is presented a model for studying actively controlled double-glazed windows. The model is based on the assumptions, that the panes are simply supported, that the air-cavity has a rigid frame at the edges of the panes, and, that the sound field in the cavity is constant across the depth of the window. The variables of the model are the modal amplitudes of the panes and cavity sub-systems. Both, loudspeakers inside the cavity and/or forces applied to one or both panes can be included in the model simultaneously. With this model a lot of cost functions can be developed and studied. As global cost functions can be mentioned, mean square velocity of one or both of the panes, mean square sound pressure level of the cavity and radiated sound power. Also investigated are local cost functions simulating samples of the fields registered by means of microphones or accelerometers. Simulations of an actively controlled double-glazed window with equal panes were carried out and different cost functions were minimized. Four loudspeakers as well as four forces on either or both panes were used. The results are presented and discussed.