ISOSPECTRAL SYSTEMS FOR TAPERED BEAMS
β Scribed by G. Subramanian; A. Raman
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 205 KB
- Volume
- 198
- Category
- Article
- ISSN
- 0022-460X
No coin nor oath required. For personal study only.
β¦ Synopsis
A generalization of an existing method to obtain isospectral systems (i.e., systems having the same natural frequencies for a given set of boundary conditions) for beams of all taper powers is attempted. As illustration of its success, typical isospectrally equivalent systems obtained by this method are presented. They are confirmed for their frequency equivalence by the finite element method (FEM). Incomplete and scaled isospectral systems also are indicated.
π SIMILAR VOLUMES
The in-plane and out-of-plane modes of free vibration of a tapered Timoshenko beam mounted on the periphery of a rotating rigid hub are investigated. The finite element method is used to discretize the beam. This formulation permits unequal breadth and depth taper ratios as well as unequal element l