Comments on curve veering in eigenvalue problems
β Scribed by N.C. Perkins; C.D. Mote Jr.
- Book ID
- 107820973
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 831 KB
- Volume
- 106
- Category
- Article
- ISSN
- 0022-460X
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π SIMILAR VOLUMES
The problem to measure the phenomena of eigenvalue curve veering and mode localization is addressed in this paper. The second derivative of an eigenvalue and the "rst derivative of an eigenvector are taken as the measures, numerically showing curve veering and mode localization. Based on the measure
## Abstract In this work we analyse the asymptotic behaviour of eigenvalues and eigenfunctions of the linearized elasticity eigenvalue problem of curved rodβlike bodies with respect to the small thickness __Ο΅__ of the rod. We show that the eigenfunctions and scaled eigenvalues converge, as __Ο΅__ te