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22 July 1993 Modeling of the structural acoustic coupling inside a thin cylindrical shell
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A fully coupled mathematical model describing the dynamics of a cylindrical structural acoustics problem is presented. The geometry of interest consists of an acoustic field lying inside a vibrating thin cylindrical shell. In this model, the shell dynamics are coupled to the interior acoustic field through pressure and momentum conditions. Because the model will ultimately be used in control applications involving piezoceramic actuators, the loads and material contributions resulting from bonded piezoceramic patches are also included in the discussion. Strong and weak forms of the modeling set of coupled partial differential equations (PDE's) are presented, thus yielding a framework which is amenable to the application of various approximation techniques to the problem of developing schemes for forward simulations, parameter estimation, and application of PDE-based control strategies.
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H. Thomas Banks and Ralph C. Smith "Modeling of the structural acoustic coupling inside a thin cylindrical shell", Proc. SPIE 1919, Smart Structures and Materials 1993: Mathematics in Smart Structures, (22 July 1993);

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