Abstract
This paper presents algorithms to compute natural frequencies and mode shapes of a circular membrane with concentric or eccentric non-uniformity as found in many applications such as Indian musical drums. Algorithm for concentric non-uniformity is based on the theory of linear time varying systems whereas that for eccentric non-uniformity is developed by expressing each eigenfunction as a linear combination of eigenfunctions of the corresponding circular membrane with concentric non-uniformity. Numerical results from these approaches are corroborated by comparison with those from a finite element method and existing results in the literature.
Original language | English (US) |
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Article number | 103553 |
Journal | Mechanics Research Communications |
Volume | 107 |
DOIs | |
State | Published - Jul 2020 |
All Science Journal Classification (ASJC) codes
- Civil and Structural Engineering
- General Materials Science
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering