The motion of idealized inextensible strings is discussed. The equations of motion are analyzed for closed-loop con"gurations, free of body forces and open hanging strings whirling under gravity. The latter give rise to an interesting non-linear eigenvalue problem describing a spectrum of whirling m
On a non-linear eigenvalue problem
โ Scribed by S.A. Bespalova
- Publisher
- Elsevier Science
- Year
- 1984
- Weight
- 360 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0041-5553
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๐ SIMILAR VOLUMES
Structural stability problems under displacement-dependent loads often take the form of non-linear eigenvalue problems in which the eigenvalue is raised to an exponent. Iterative techniques are considered in this work for the solution of non-linear eigenproblems of the form ( K -MI -K2(XP))x=0. The
## Abstract We consider the eigenvalue problem magnified image for __t__ ฯต [0, __b__], where __a^n^__ = |__a__|^n^ sgn__a, a__ ฯต โ, ฮป ฯต โ, the constants ฮผ__, v__ are real such that 0 โค ฮผ < __n__ and derive asymptotic estimates for solutions of the differential equation in the definite case __q__(__