COMMENT ON “VIBRATION ANALYSIS OF CANTILEVERED SHALLOW SHELLS WITH TRIANGULAR AND TRAPEZOIDAL PLANFORMS”

✍ Scribed by S.M. Dickinson

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 121 KB
• Volume: 201
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1996.0730

✦ Synopsis

The writer wishes to compliment Professor Qatu on his interesting and useful paper [1]. In his summary it is suggested that the results presented are ''the first known natural frequencies for cantilevered shallow shells having triangular and trapezoidal planforms''. At the time of submission of the paper, that likely was true; it likely remains true for the trapezoidal shells. However, the present writer would like to bring to the attention of interested readers that some natural frequency parameters for cantilevered, right and isosceles triangular planform, shallow shells have also been given by Young and Dickinson [2] in a paper on shells of more general planform and which appeared subsequent to the submission date of reference [1]. As with the work of Qatu, the Ritz method was used with simple polynomials as trial functions and, it is expected, would have yielded identical results had the same shells been studied with the same number of terms in the displacement series. The results in reference [2] complement those of Qatu.