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Erschienen in:

2019 | OriginalPaper | Buchkapitel

On Bending of Rod Under Strong Longitudinal Compression

verfasst von : A. A. Ershov, A. A. Ershova

Erschienen in: Proceedings of the 4th International Conference on Industrial Engineering

Verlag: Springer International Publishing

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Abstract

In this paper, we consider typical processes of rod bending under strong longitudinal compression. The corresponding dynamic equation of bending is considered as a perturbation of the two-dimensional Laplace equation. It is established that, for these processes, expanding of domains of rapid increase of bending begins in small neighborhoods of singularity points of solutions of the limiting Laplace equation. The initial stages of these increases are described using the Hardy integral. Several typical examples of the development of buckling of a rod under the action of strong compression are simulated in the work.

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Titel: On Bending of Rod Under Strong Longitudinal Compression
verfasst von: A. A. Ershov
A. A. Ershova
Verlag: Springer International Publishing
Buch: Proceedings of the 4th International Conference on Industrial Engineering
Print ISBN: 978-3-319-95629-9

Electronic ISBN: 978-3-319-95630-5

Copyright-Jahr: 2019
DOI: https://doi.org/10.1007/978-3-319-95630-5_72

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