COMMENTS ON “STUDY OF THE FORCED RESPONSE OF A CLAMPED CIRCULAR PLATE COUPLED TO A UNI-DIMENSIONAL ACOUSTIC CAVITY”
✍ Scribed by P.A.A. Laura; D.V. Bambill; C.A. Rossit
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 163 KB
- Volume
- 201
- Category
- Article
- ISSN
- 0022-460X
No coin nor oath required. For personal study only.
✦ Synopsis
The authors are to be congratulated for their interesting and useful experimental and analytical study of a structural acoustics coupling problem [1].
As stated by the authors, the vibrating structure (a clamped circular plate) coupled to the acoustic cavity is modelled as a mass-spring-damper oscillator (M, K, C). A good agreement between experimental and analytical results has been obtained by the authors by assuming M = 2 kg (according to the authors, but about 50% greater than the true mass of the plate).
It is interesting to point out that the determination of equivalent mass and compliance corresponding to the fundamental mode of vibration has been determined, in a rather accurate fashion, in recent studies [2][3][4]. Such determinations are of interest when dealing with electro-acoustic analyses.
In the case of a clamped circular plate, the ratio M u /M p , where M u is the equivalent mass and M p is the actual mass of the plate, is equal to 9/5 = 1•80. According to the dimensions of the experimental set-up developed by the authors and to the assumed value of the equivalent mass considered by the authors (2 kg), the ratio M u /M p is approximately equal to 1•74, which is in good engineering agreement with the value available in the literature [2-4] and which has been previously quoted. An equivalent mass and compliance for the fundamental mode of vibration can be conveniently determined using a polynomial approximation, which is valid for the general case of a plate elastically restrained against rotation at the edge [5].