COMMENTS ON “USE OF THE ANALYTICAL AND NUMERICAL COMBINED METHOD IN THE FREE VIBRATION ANALYSIS OF A RECTANGULAR PLATE WITH ANY NUMBER OF POINT MASSES AND TRANSLATIONAL SPRINGS” (WITH AUTHORS' REPLY)

✍ Scribed by D.R. Avalos; H.A. Larrondo

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 94 KB
• Volume: 207
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1997.1157

✦ Synopsis

We find the title paper both useful and very interesting and we would like to congratulate the authors to their work [1]. On the other hand it is also the purpose of this letter to add some pertinent references which have been inadvertently omitted by the authors.

Reference [2] deals with elastically restrained beams and plates carrying concentrated masses. Rotatory inertia of the masses is also taken into account. Simply supported or clamped edges turn out to be particular, limiting situations.

The case of a simply supported rectangular plate carrying an elastically mounted mass has been treated in reference [3]. Reference [4] deals with a circular plate elastically restrained against rotation along the edge and carrying an elastically mounted mass. Obviously the situation where the mass is rigidly attached to the plate constitutes a limiting case.

One should recall that when the mass is elastically mounted on a structural element the original frequencies and mode shapes of the ''bare'' structure are, in general, drastically changed. A similar situation arises in nuclear physics [3].