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COMMENTS ON “THE APPLICATION OF A NEW FINITE STRIP TO THE FREE VIBRATION OF RECTANGULAR PLATES OF VARYING COMPLEXITY”

✍ Scribed by P.A.A. Laura

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
153 KB
Volume
194
Category
Article
ISSN
0022-460X

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✦ Synopsis

Drs Cheung and Kong are to be congratulated for their excellent paper and for the very useful, new finite strip element that they have developed [1].

In view of the excellent accuracy achieved by the authors, it is quite possible that the fundamental frequency coefficient of a square plate with step change in thickness, calculated by them and shown in Table 7, may be considered as exact, for all practical purposes.

It is important to point out the Chopra's solution [2], defined as ''exact'' by the authors, is in error. This is so because incorrect continuity conditions were used at the step.

This fact has been pointed out by G. B. Warburton [3,4]. As stated by Warburton ''. . . the numerical effect of this error on natural frequencies is not known to the writer, but it is expected that the errors in Chopra's values will increase as the thickness ratio h 1 /h 2 moves away from unity '' [4].

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