Experimental studies on the in-plane vibrations and sound radiation in an annular thick disk

  • Salem Bashmal Dept. of Mechanical and Industrial Engineering, Concordia University, 1455 De Maisonneuve Blvd. W, Montreal, QC H3G 1M8, Canada
  • Rama Bhat Dept. of Mechanical and Industrial Engineering, Concordia University, 1455 De Maisonneuve Blvd. W, Montreal, QC H3G 1M8, Canada
  • Subash Rakheja Dept. of Mechanical and Industrial Engineering, Concordia University, 1455 De Maisonneuve Blvd. W, Montreal, QC H3G 1M8, Canada
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

Abstract

A 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.
Published
2009-09-01
How to Cite
1.
Bashmal S, Bhat R, Rakheja S. Experimental studies on the in-plane vibrations and sound radiation in an annular thick disk. Canadian Acoustics [Internet]. 2009Sep.1 [cited 2019Aug.19];37(3):202-3. Available from: https://jcaa.caa-aca.ca/index.php/jcaa/article/view/2204
Section
Proceedings of the Acoustics Week in Canada