Please use this identifier to cite or link to this item: https://open.uns.ac.rs/handle/123456789/12393
Title: On an optimization problem for elastic rods
Authors: Jeličić, Zoran 
Atanackovic T.
Issue Date: 1-Jan-2006
Journal: Structural and Multidisciplinary Optimization
Abstract: Optimal shape of an elastic rod loaded by extensional force is determined. It is assumed that the rod is described by a classical Bernoulli-Euler rod theory. The optimality conditions are obtained by using Pontriyagin's maximum principle. It is shown that the optimal shape (cross-sectional area as a function of an arc length) is determined from the solution of a nonlinear second-order differential equation. The solution of this equation is given in the closed form. It is shown that for the same buckling force, the savings of the material are of the order of 30%. An interesting feature of the problem is that for certain values of parameters, there is no optimal solution.
URI: https://open.uns.ac.rs/handle/123456789/12393
ISSN: 1615147X
DOI: 10.1007/s00158-005-0583-4
Appears in Collections:FTN Publikacije/Publications

Show full item record

SCOPUSTM   
Citations

6
checked on Sep 14, 2022

Page view(s)

31
Last Week
6
Last month
4
checked on May 10, 2024

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.