Experimental studies on the in-plane vibrations and sound radiation in an annular thick disk
Keywords:Natural frequencies, Three dimensional, Admissible functions, Annular disk, Boundary characteristics, Circumferential direction, Experimental investigations, Experimental studies, In-plane vibration, Mode shapes, Non-uniform boundary conditions, Orthogonal polynomial, Rayleigh-Ritz methods, Sinusoidal variations, Sound radiations, Support conditions, Thick disk, Thick plate, Three-dimensional analysis
AbstractA study was conducted to demonstrate experimental investigations on the in-plane vibrations of thick plates with non-uniform boundary conditions. The natural frequencies of an annular disk supported at one point were measured and compared with values measured for free support conditions. The Rayleigh-Ritz method was used to demonstrate the use of boundary characteristic orthogonal polynomials as admissible functions in a three dimensional analysis to obtain the natural frequencies and the associated mode shapes analytically. The free in-plane vibration of the disk was assumed to have sinusoidal variations along the circumferential direction of the disk.
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