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Fundamental frequency of vibrations of a rectangular plate with a free, straight corner cut-out

✍ Scribed by P.A.A. Laura; P. Verniere de Irassar; L. Ercoli; R. Gelos

Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
674 KB
Volume
78
Category
Article
ISSN
0022-460X

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✦ Synopsis

An approximate solution of the title problem is obtained by using the Ritz method. It is assumed that the edges of the rectangular plate are elastically restrained against rotation and that translation is prevented. The displacement amplitude is approximated in terms of a polynomial co-ordinate function which identically satisfies the prescribed boundary conditions along the orthogonal edges but not along the corner cut-out. The analytical predictions are in reasonably good agreement with experimental results performed on a rigidly clamped square plate.

πŸ“œ SIMILAR VOLUMES

A note on the determination of the funda
A note on the determination of the fundamental frequency of vibration of a rectangular plate with a free, semicircular cut-out along the edge
✍ P.A.A. Laura; L. Ercoli; J. Baron; G. Sanchez Sarmiento; J.C. Utjes πŸ“‚ Article πŸ“… 1986 πŸ› Elsevier Science 🌐 English βš– 940 KB

The title problem is tackled by using polynomial co-ordinate functions and the Ritz method in order to generate an approximate frequency equation. It is shown that in the case of a clamped square plate the results are in good engineering agreement with frequency values obtained by means of the finit

FUNDAMENTAL FREQUENCY OF TRANSVERSE VIBR
FUNDAMENTAL FREQUENCY OF TRANSVERSE VIBRATION OF A CIRCULAR PLATE OF RECTANGULAR ORTHOTROPY WITH A SECANT SUPPORT
✍ P.A.A. LAURA; R.H. GUTIERREZ; R. OSSI πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 167 KB

The present study deals with the solution of the title problem in the case of clamped and simply supported edges, see Figure 1. For the sake of generality it is assumed that the plate carries a centrally located concentrated mass. This note deals with an extension of the problem tackled in reference