In-plane free vibration of circular disks using characteristic orthogonal polynomials in Rayleigh-Ritz method

Auteurs-es

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

Mots-clés :

Boundary conditions, Eigenvalues and eigenfunctions, Functions, Parameter estimation, Springs (components), Stiffness, Acceptable accuracy, Admissible functions, Artificial springs, Circular disks

Résumé

The natural frequencies of circular disks subject to various combinations of boundary conditions, with relative ease and acceptable accuracy are studied. Boundary characteristic orthogonal polynomials are used as the admissible functions, which have some advantageous features such as relative ease of generation and integration, diagonal mass matrix and diagonally dominant stiffness matrix. The Rayleigh-Ritz method is employed to solve for the eigenvalues. As an alternative approach, orthogonal polynomials generated for free conditions can be used as trial functions for the clamped case through the use of artificial springs. It is observed that with the increase of the radius ratio, the parameters monotonically increase except for the free-free disks.

Fichiers supplémentaires

Publié-e

2007-09-01

Comment citer

1.
Bashmal S, Bhat R, Rakheja S. In-plane free vibration of circular disks using characteristic orthogonal polynomials in Rayleigh-Ritz method. Canadian Acoustics [Internet]. 1 sept. 2007 [cité 14 juill. 2024];35(3):164-5. Disponible à: https://jcaa.caa-aca.ca/index.php/jcaa/article/view/1952

Numéro

Vol. 35 No. 3 (2007)

Rubrique

Actes du congrès de la Semaine canadienne d'acoustique

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