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2019 | OriginalPaper | Buchkapitel

Deformation of Thin Elastic Rod Under Large Deflections

verfasst von : V. S. Zhernakov, V. P. Pavlov, V. M. Kudoyarova

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

Verlag: Springer International Publishing

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Abstract

The flexible elastic rods undergoing large deflections are widely used in the engineering practice. Analytic solutions for flexible rods are known for some special cases but there are cases when the exact solution does not exist. In such cases, it is expedient to use numerical methods, and the most known is a finite element method (FEM). This paper presents a new numerical method based on second-degree splines of the defect 1 allowing to solve the linearized nonlinear equations with high accuracy for large deflections of a thin elastic rod. The method efficiency is evaluated on the test problem of a pure bending (not shear) of a thin elastic rod. This paper shows that the method ensures the accuracy with a relative error does not exceed 1 × 10⁻⁶ for a sufficiently dense number of nodes.

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Titel: Deformation of Thin Elastic Rod Under Large Deflections
verfasst von: V. S. Zhernakov
V. P. Pavlov
V. M. Kudoyarova
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_20

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