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Author Sitar, Matej ♦ Kosel, Franc ♦ Brojan, Miha
Source SpringerLink
Content type Text
Publisher Springer Berlin Heidelberg
File Format PDF
Copyright Year ©2013
Language English
Subject Domain (in DDC) Technology ♦ Engineering & allied operations
Subject Keyword Large deflections ♦ Arbitrarily curved elastica ♦ Geometrical nonlinearity ♦ Plane deflection ♦ Elastica problem ♦ Theoretical and Applied Mechanics ♦ Mechanics
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.
ISSN 09391533
Age Range 18 to 22 years ♦ above 22 year
Educational Use Research
Education Level UG and PG
Learning Resource Type Article
Publisher Date 2013-10-25
Publisher Place Berlin/Heidelberg
e-ISSN 14320681
Journal Archive of Applied Mechanics
Volume Number 84
Issue Number 2
Page Count 13
Starting Page 263
Ending Page 275

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Source: SpringerLink