Numerical experiments on a vibrating triangular plate of non-uniform thickness

✍ Scribed by V.H. Cortinez; P.A.A. Laura; A. Bergmann; R. Carnicer

• Publisher: Elsevier Science
• Year: 1991
• Tongue: English
• Weight: 190 KB
• Volume: 33
• Category: Article
• ISSN: 0003-682X
• DOI: 10.1016/0003-682x(91)90071-l

✦ Synopsis

The present paper deals with the solution of the title problem in the case where the plate possesses two equal sides which are either clamped or simply supported while the third is free. An approximate analytical solution is obtained using polar coordinates and the optimized Rayleigh-Ritz method which allows for the determination of the fundamental frequency coefficient. The fundamental eigenvah~e is tabulated as a function of the geometric parameters coming into play. An independent solution is obtained by means of the finite element method. ReasonabO" good engineering agreement is shown to exist.