The paper deals with the problem of choosing the material and the cross section of a beam subjected to bending under structural safety, elastic stability, and available room constraints. An extension of the theory proposed by Ashby is presented. The Pareto-optimal set for the multi-objective problem of stiffness maximization and mass minimization under elastic stability, structural safety, and available room constraints for a beam under bending is derived analytically. The Pareto-optimal set is compared with the solution of the Ashby's selection method.

On the Pareto Optimality of Ashby's Selection Method for Beams under Bending

Previati, Giorgio;Mastinu, Gianpiero;Gobbi, Massimiliano
2018-01-01

Abstract

The paper deals with the problem of choosing the material and the cross section of a beam subjected to bending under structural safety, elastic stability, and available room constraints. An extension of the theory proposed by Ashby is presented. The Pareto-optimal set for the multi-objective problem of stiffness maximization and mass minimization under elastic stability, structural safety, and available room constraints for a beam under bending is derived analytically. The Pareto-optimal set is compared with the solution of the Ashby's selection method.
2018
Mechanics of Materials; Mechanical Engineering; Computer Science Applications1707 Computer Vision and Pattern Recognition; Computer Graphics and Computer-Aided Design
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1043463
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