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MULTIOBJECTIVE DESIGN OPTIMIZATION OF CONTINUOUS BEAMS BY NUMERICAL METHODS

SRINIVAS KODIYALAM (Engineering Design Optimization, Inc., Santa Barbara, CA 93117, USA Present address: General Electric Corporate R&D Center, Building K‐1, Room 2A25, PO Box 8, Schenectady, NY 12301, USA)
S. ADALI (Department of Mechanical Engineering, University of Natal, King George V Avenue, Durban 4001, Republic of South Africa)
I.S. SADEK (Department of Mathematical Sciences, University of North Carolina at Wilmington, Wilmington, NC 28403, USA)

Engineering Computations

ISSN: 0264-4401

Article publication date: 1 May 1992

Abstract

The optimal thickness distribution of a two‐span continuous beam is determined with the objectives of minimizing the maximum stress, maximizing the fundamental frequency and frequency separation between adjacent frequencies. The self‐weight 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 two‐objective design problems. Optimal trade‐off curves, thickness distributions and stress distributions of optimally designed beams are presented in graphical form. The effects of self‐weight and different design objectives on the thickness distribution are investigated.

Keywords

Citation

KODIYALAM, S., ADALI, S. and SADEK, I.S. (1992), "MULTIOBJECTIVE DESIGN OPTIMIZATION OF CONTINUOUS BEAMS BY NUMERICAL METHODS", Engineering Computations, Vol. 9 No. 5, pp. 539-546. https://doi.org/10.1108/eb023882

Publisher

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MCB UP Ltd

Copyright © 1992, MCB UP Limited