✦ LIBER ✦

ON VIBRATIONS OF L-SHAPED REGIONS

✍ Scribed by H.P.W. GOTTLIEB

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 152 KB
Volume: 246
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.2001.3584

No coin nor oath required. For personal study only.

✦ Synopsis

The purpose of this paper is to point out that the numerical multi-domain method for free vibrations of membranes introduced by Kang and Lee [1] may be more accurate than they take credit for.

Consider their Case Study 4.3 of an L-shaped membrane (their Figure 10), constructed from three squares each of side length one unit. The normalized frequencies of a single such sub-square (wave speed one unit) are given exactly by

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