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MULTIOBJECTIVE DESIGN OPTIMIZATION OF CONTINUOUS BEAMS BY NUMERICAL METHODS

MULTIOBJECTIVE DESIGN OPTIMIZATION OF CONTINUOUS BEAMS BY NUMERICAL METHODS The optimal thickness distribution of a twospan continuous beam is determined with the objectives of minimizing the maximum stress, maximizing the fundamental frequency and frequency separation between adjacent frequencies. The selfweight of the beam is included in the computations. The multiobjective design problem is solved by using the concept of Pareto optimality. The beam thickness is approximated by constant splines. The stress distribution and the frequencies are determined by the finite element method. The optimization of the beam is carried out by the feasible direction method and by employing a quadratic approximation of the thickness function. Numerical results are given for twoobjective design problems. Optimal tradeoff curves, thickness distributions and stress distributions of optimally designed beams are presented in graphical form. The effects of selfweight and different design objectives on the thickness distribution are investigated. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Engineering Computations Emerald Publishing

MULTIOBJECTIVE DESIGN OPTIMIZATION OF CONTINUOUS BEAMS BY NUMERICAL METHODS

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Publisher
Emerald Publishing
Copyright
Copyright © Emerald Group Publishing Limited
ISSN
0264-4401
DOI
10.1108/eb023882
Publisher site
See Article on Publisher Site

Abstract

The optimal thickness distribution of a twospan continuous beam is determined with the objectives of minimizing the maximum stress, maximizing the fundamental frequency and frequency separation between adjacent frequencies. The selfweight of the beam is included in the computations. The multiobjective design problem is solved by using the concept of Pareto optimality. The beam thickness is approximated by constant splines. The stress distribution and the frequencies are determined by the finite element method. The optimization of the beam is carried out by the feasible direction method and by employing a quadratic approximation of the thickness function. Numerical results are given for twoobjective design problems. Optimal tradeoff curves, thickness distributions and stress distributions of optimally designed beams are presented in graphical form. The effects of selfweight and different design objectives on the thickness distribution are investigated.

Journal

Engineering ComputationsEmerald Publishing

Published: May 1, 1992

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