COMMENTS ON “NATURAL VIBRATION ANALYSIS OF CLAMPED RECTANGULAR ORTHOTROPIC PLATES”

✍ Scribed by P.A.A. Laura; L. Ercoli; D.V. Bambill; V. Jederlinic

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 127 KB
• Volume: 201
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1996.0687

✦ Synopsis

The authors are to be congratulated for their interesting application of the extended Kantorovich method for treating the problem of free vibrations of a clamped rectangular orthotropic thin plate [1]. On the other hand, Dalaei and Keer [1] determine fundamental frequencies only for a very limited number of available fundamental frequency parameters determined prior to 1952 [2] and 1969 [3]. Since then a large number of papers reporting innovative approaches and/or accurate frequency coefficients have been published [4][5][6][7].

Among these studies, Kim and Dickinson's paper [5] constitutes a remarkable one in view of its simplicity and accurary.

As shown in reference [6] simple polynomial approximations allow for a very simple and accurate determination of the fundamental frequency of orthotropic plates elastically restrained against rotation along the edges and subjected to a biaxial state of in-plane stress.

The approach presented in reference [6] was improved considerably in reference [7] by including an adjustable exponential parameter which allows for further optimization of the frequency parameter. It was shown in reference [7] that the numerical values are in very good agreement with those determined in reference [5]. Admittedly, the methodology developed in reference [5] allows for very general types of boundary conditions, including the free edge situation.