A simple and effective solution of the elastica problem

Campanile LF, Hasse A (2008)


Publication Language: English

Publication Type: Journal article

Publication year: 2008

Journal

Publisher: SAGE Publications (UK and US)

Book Volume: 222

Pages Range: 2513-2516

Journal Issue: 12

URI: https://www.mfk.uni-erlangen.de?file=pubmfk_5641015f0f48f

DOI: 10.1243/09544062JMES1244

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.

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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.

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