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.
✦ LIBER ✦
General solution to the equation of the vibrating membrane
✍ Scribed by Nuretti̇n Y. Ölçer
- Publisher
- Elsevier Science
- Year
- 1967
- Tongue
- English
- Weight
- 591 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0022-460X
No coin nor oath required. For personal study only.
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In this work, we are interested in obtaining an approximated numerical solution for the model of vibrating elastic membranes with moving boundary. The model is an extension of KirchhoffÕs model, which takes into account the change of size during the vibration. We apply the finite element method with