A simple method for determining large deflection states of arbitrarily curved planar elastica
Author(s)Sitar, Matej; Kosel, Franc; Brojan, Miha
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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 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.
DepartmentMassachusetts Institute of Technology. Department of Mechanical Engineering
Archive of Applied Mechanics
Springer Berlin Heidelberg
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.
Author's final manuscript