A new method for studying the vibration of non-homogeneous membranes
โ Scribed by Paolo Amore
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 841 KB
- Volume
- 321
- Category
- Article
- ISSN
- 0022-460X
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๐ SIMILAR VOLUMES
A membrane is non-homogeneous if it has density or thickness variations. Literature on the vibrations of non-homogeneous membranes are few. A composite membrane composed of joining many homogeneous strips was considered by Sato [1] and Kalotas and Lee [2], while membranes composed of two distinct pi
In this paper a boundary element approach is presented to establish the eigenfrequencies and the mode shapes of the free vibrations of flexible membranes with arbitrary shape. The membranes may be of homogeneous, non-homogeneous or composite material, while their boundaries may be fixed or elastical
An accurate analytical method is described for establishing initial stress distributions in corner-tensioned rectangular membranes. With the stress distributions available it is shown how the Rayleigh-Ritz method is employed to obtain membrane free vibration frequencies and mode shapes. The initial