Wave compatibility condition: An alternative for vibro-acoustic problems in medium frequency range
Keywords:Acoustic fields, Acoustic variables measurement, Acoustic wave propagation, Approximation theory, Boundary element method, Damping, Finite element method, Fourier transforms, Interpolation, Modal analysis, Pressure effects, Vibration control, Modal sampling, Transversal displacements, Wave compatibility conditions (WCC)
AbstractPrimal and dual acoustic waves are described on a particular set of variables leading to written equations along the boundaries. The coupling equations are derived and written using Fourier series decomposition. The modal behavior is studied and the Wave Compatibility Condition (WCC) ensures the connection between the two representation. The response to a point harmonic acoustic excitation of a rigid walled cavity is studied. A beam loaded with continuous two dimensional field of pressure is described. The response of a clamped-clamped beam to an harmonic continuous loading is studied. The equation of motion gives the relation between the transverse displacement and the continuous loading. The WCC response of the beam is observed.
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