Regular articleNATURAL FREQUENCIES AND MODES OF FREE-EDGE CIRCULAR PLATES VIBRATING IN VACUUM OR IN CONTACT WITH LIQUID
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Solid-liquid coupling of in-phase and out-of-phase vibrations for two piezoelectric disks
2023, Applied AcousticsModeling added mass effects on the vibrations of air-backed, pre-deformed membranes
2021, Journal of Sound and VibrationCitation Excerpt :These factors vary with the resonance frequency and are proportional to the ratio between the modal contributions of the kinetic energy of the fluid and the kinetic energy of the structure. NAVMI factors can be analytically calculated for simple conditions and geometries [24–28], or evaluated through numerical simulations or experimental assays [29–32]. Of particular importance for practical applications is the quantification of hydrodynamic forces acting on air-backed curved structures.
Resonance and interactions of infragravity waves with sea ice
2021, Cold Regions Science and TechnologyAxisymmetric vibrations of a circular Chladni plate in air and fully submerged in water
2018, Journal of Fluids and StructuresCitation Excerpt :These results indicate that due to the submergence, the innermost nodal radius of each mode will increase significantly at least 30%, while the remaining outer circles will suffer around a 3% radius decrease. These mode shape changes are in agreement with the theoretical results of Amabili et al. (1995), Amabili et al. (1996), Amabili (1996) and Amabili and Kwak (1996) when comparing the predictions of the Rayleigh–Ritz method against the assumed-modes approach. Experimental and numerical analyses were conducted to determine the effects of submergence on the axisymmetric natural frequencies and mode shapes of a circular plate free at its edge and excited at its centre through a cylindrical bar.
Mode-dependent mechanical losses in disc resonators
2018, Physics Letters, Section A: General, Atomic and Solid State PhysicsResonance mode and sound pressure produced by circular diaphragms of electrostatic and piezoelectric speakers
2018, Applied AcousticsCitation Excerpt :The natural frequencies of thin, circular plates with clamped, simply supported, and free edge conditions have also been studied extensively. Amabili et al. [8] evaluated the natural frequencies and modes for the free vibrations of free-edge circular plates vibrating in a vacuum or in contact with liquid, and also considered the influence of Poisson’s ratio. During the 1960s and 70s, several pioneers [9–12] outlined the construction of push-pull electrostatic headphones and amplifiers, and investigated the frequency response characteristics in open air and using artificial ears.