FREE VIBRATION OF SIMPLY SUPPORTED GENERAL TRIANGULAR THIN PLATES: AN ACCURATE SIMPLIFIED SOLUTION

✍ Scribed by H.T. Saliba

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 249 KB
• Volume: 196
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1996.0466

✦ Synopsis

In this paper, a highly accurate, simplified, and economical solution is provided for the free vibration problem of simply supported thin general triangular plates. The method is applicable to thin plates with linear boundaries regardless of their geometrical shapes. Results are compared with previously published reliable data for both the isosceles as well as the general triangles. Excellent agreements are reported. Eigenvalues are provided for a wide range of plate aspect ratios. The first five mode shapes for some isosceles triangles are also provided for illustrative purposes. The advantages of the solution presented in the paper over previously published solutions are briefly discussed. Although the paper deals only with simple support conditions, it is mentioned that any combination of classical boundary conditions, with or without complicating factors, can easily be handled.