Email this article Construction of a Solution of the Problem of Stability of a Bar with Arbitrary Continuous Parameters
- Authors: Krutii Y.S.1
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Affiliations:
- Odesa State Academy of Civil Engineering and Architecture
- Issue: Vol 231, No 5 (2018)
- Pages: 665-677
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/241212
- DOI: https://doi.org/10.1007/s10958-018-3843-8
- ID: 241212
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Abstract
We consider the problem of stability of a bar with arbitrary continuous variable flexural stiffness compressed by an arbitrary continuously applied variable axial longitudinal force. For the first time, we construct the exact solution of the corresponding differential equation of longitudinal bending. As a result, we obtain the formulas for displacements and internal forces in any cross section of the bar in the analytic form.
About the authors
Yu. S. Krutii
Odesa State Academy of Civil Engineering and Architecture
Email: Jade.Santos@springer.com
Ukraine, Odesa
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