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A nonlinear eigenvalue problem. II

✍ Scribed by Marvin Shinbrot

Publisher: Springer
Year: 1964
Tongue: English
Weight: 430 KB
Volume: 15
Category: Article
ISSN: 0003-9527
DOI: 10.1007/bf00256927

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## Abstract Rotations of a heavy string with one endpoint free are considered. According to the linear theory, a string of a given length can rotate only at certain eigenvelocities of rotation w~1~ which form a discrete spectrum. It is shown that according to the more accurate non‐linear theory, a