Hybrid approach to the mid-frequency problem

Phil Shorter

Abstract


The response of a structural acoustic system in the mid-frequency range consists of both long and short wavelength that is modelled using the statistical energy analysis (SEA). The frame-plate structure considered consists of a stiff beam framework with two bays. The response of structure consist of both long and short-wavelength behavior over the frequency range. The dynamic behavior of the structure is modeled for the interactions between the various beam and plate subsystems using an SEA model. Finite element method is used to model the long wavelength global behavior. The subsystems in Resound that exhibit short wavelength local behavior are fuzzy subsystems. Asymptotic expressions are derived and equations of motion are studied.

Keywords


Beams and girders; Degrees of freedom (mechanics); Eigenvalues and eigenfunctions; Finite element method; Fuzzy control; Lagrange multipliers; Mathematical models; Modal analysis; Plates (structural components); Statistical methods; Stiffness matrix; Structural frames; Asymptotic expressions; Resound methods; Statistical energy analysis (SEA)

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