A simple and effective solution of the elastica problem

Journal article


Publication Details

Author(s): Campanile LF, Hasse A
Journal: Proceedings of the Institution of Mechanical Engineers Part C-Journal of Mechanical Engineering Science
Publisher: SAGE Publications (UK and US)
Publication year: 2008
Volume: 222
Journal issue: 12
Pages range: 2513-2516
ISSN: 0954-4062
Language: English


Abstract


The bending behaviour of thin stripes and leaf springs, in the presence of large deflections, is ruled by the so-called Bernoulli-Euler equation. The standard solution approach of this problem ('elastica') is represented by the non-linear finite-element analysis. In some special cases, closed-form solutions are available, which involve elliptic integrals and functions. In this article, an alternative method is presented based on the discretization of the deformed beam into circular-arc segments. The method is fast and simple to implement, and therefore suits well for the design and optimization of compliant kinematics. © IMechE 2008.



FAU Authors / FAU Editors

Hasse, Alexander Prof. Dr.
Professur für Mechatronische Systeme


How to cite

APA:
Campanile, L.F., & Hasse, A. (2008). A simple and effective solution of the elastica problem. Proceedings of the Institution of Mechanical Engineers Part C-Journal of Mechanical Engineering Science, 222(12), 2513-2516. https://dx.doi.org/10.1243/09544062JMES1244

MLA:
Campanile, Lucio Flavio, and Alexander Hasse. "A simple and effective solution of the elastica problem." Proceedings of the Institution of Mechanical Engineers Part C-Journal of Mechanical Engineering Science 222.12 (2008): 2513-2516.

BibTeX: 

Last updated on 2018-28-06 at 18:10