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Heavy rotating string—a nonlinear eigenvalue problem

Published in Communications on Pure and Applied Mathematics • Aug 1, 1955
NobleIDNI8P25W37R64S37
Authors:
I. I. Kolodner

Abstract

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 strin...

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