Proceedings of the Royal Society of London A Mathematical and Physical Sciences · 1984 · 56 citations · 1 references
Natural SciencesPhysicsAcoustic DesignAcousticsStructural EngineeringAcoustic RadiationAcoustic Wave PropagationPlate AnalysisPlate TheoryStructural AcousticsWave Propagation In StructuresAcoustic Radiation PatternsAcoustic Radiation ProblemsDisplacementModal RadiationPlate AcousticsRadiation From PlatesSound Radiation From Vibrating StructuresStructural Acoustics Radiation
Abstract Detailed calculations have been given earlier for the radiation resistance, at high modal numbers, of a panel whose edges are freely hinged. The present paper deals with the more realistic case where the plate is subject at its edges to a restoring couple proportional to its angular displacement. It is shown that above the coincidence condition, when acoustic wavenumber exceeds plate wavenumber, the radiation resistance is area dependent as before. Below coincidence the radiation resistance can be determined by solving appropriate semi-infinite or quarter-infinite plate problems, and it is shown that over a wide range of parameters the radiation resistance effectively doubles in going from freely hinged edges to clamped edges.
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