Flexible bars subjected to arbitrary discrete loads and boundary conditions

Manuel, Francisco; Lee, S.L.

doi:10.1016/0016-0032(68)90050-1

Cited by 11 publications

(1 citation statement)

References 13 publications

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“…Contrary to that, there is a much less of works studying large deflection analysis of initially curved beams, see e.g., [9][10][11][12][13][14][15][16], or publications dealing with large deflections of beam composed of several initially curved members subjected to arbitrary loading state, e.g., [17][18][19][20][21][22][23][24]. In work done by Faulkner et al [18], the segmental shooting technique is presented.…”

Section: Introductionmentioning

confidence: 99%

A simple method for determining large deflection states of arbitrarily curved planar elastica

2013

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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 RungeKutta-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.

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