Solution to the equation of a vibrating annular membrane of non-homogeneous material
β Scribed by Sasadhar De
- Publisher
- Springer
- Year
- 1971
- Tongue
- English
- Weight
- 214 KB
- Volume
- 90
- Category
- Article
- ISSN
- 0033-4533
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π 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
The Fourier solution of the wave equation for a circular vibrating membrane is generalized to a star-like-shaped structure. We show that the classical solution can be used in this more general case, provided that a suitable change of variables in the spherical co-ordinate system is performed.