𝔖 Bobbio Scriptorium
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Comments on curve veering in eigenvalue problems

✍ 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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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

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## Abstract In this work we analyse the asymptotic behaviour of eigenvalues and eigenfunctions of the linearized elasticity eigenvalue problem of curved rod‐like bodies with respect to the small thickness __Ο΅__ of the rod. We show that the eigenfunctions and scaled eigenvalues converge, as __Ο΅__ te