A simple method for determining large deflection states of arbitrarily curved planar elastica
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419_2013_Article_798.pdf
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Author(s)
Sitar, Matej
Kosel, Franc
Brojan, Miha
Date Issued
October 2013
Journal
Archive of Applied Mechanics
Publisher
Springer Berlin Heidelberg
Citation
Sitar, Matej, Franc Kosel, and Miha Brojan. “A Simple Method for Determining Large Deflection States of Arbitrarily Curved Planar Elastica.” Archive of Applied Mechanics 84.2 (2014): 263–275.
Version
Author's final manuscript
Abstract
The paper discusses a relatively simple method for determining large deflection states of arbitrarily curved planar elastica, which is modeled by a finite set of initially straight flexible segments. The basic equations are built using Euler–Bernoulli and large displacement theory. The problem is solved numerically using Runge–Kutta–Fehlberg integration method and Newton method for solving systems of nonlinear equations. This solution technique is tested on several numerical examples. From a comparison of the results obtained and those found in the literature, it can be concluded that the developed method is efficient and gives accurate results. The solution scheme displayed can serve as reference tool to test results obtained via more complex algorithms.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1007/s00419-013-0798-6
