TY - JOUR

T1 - A genetic algorithm for combined topology and shape optimisations

AU - Mancuso, Antonio

AU - Cappello, Francesco

PY - 2003

Y1 - 2003

N2 - A method to find optimal topology and shape of structures is presented. With the first the optimal distribution of an assigned mass is found using an approach based on homogenisation theory, that seeks in which elements of a meshed domain it is present mass; with the second the discontinuous boundaries are smoothed. The problem of the optimal topology search has an ON/OFF nature and has suggested the employment of genetic algorithms. Thus in this paper a genetic algorithm has been developed, which uses as design variables, in the topology optimisation, the relative densities (with respect to effective material density) 0 or 1 of each element of the structure and, in the shape one, the coordinates of the keypoints of changeable boundaries constituted by curves. In both the steps the aim is that to find the variable sets producing the maximum stiffness of the structure, respecting an upper limit on the employed mass. The structural evaluations are carried out with a FEM commercial code, linked to the algorithm. Some applications have been performed and results compared with solutions reported in literature. Â© 2003 Elsevier Science Ltd. All rights reserved.

AB - A method to find optimal topology and shape of structures is presented. With the first the optimal distribution of an assigned mass is found using an approach based on homogenisation theory, that seeks in which elements of a meshed domain it is present mass; with the second the discontinuous boundaries are smoothed. The problem of the optimal topology search has an ON/OFF nature and has suggested the employment of genetic algorithms. Thus in this paper a genetic algorithm has been developed, which uses as design variables, in the topology optimisation, the relative densities (with respect to effective material density) 0 or 1 of each element of the structure and, in the shape one, the coordinates of the keypoints of changeable boundaries constituted by curves. In both the steps the aim is that to find the variable sets producing the maximum stiffness of the structure, respecting an upper limit on the employed mass. The structural evaluations are carried out with a FEM commercial code, linked to the algorithm. Some applications have been performed and results compared with solutions reported in literature. Â© 2003 Elsevier Science Ltd. All rights reserved.

KW - Computer Graphics and Computer-Aided Design

KW - Computer Science Applications1707 Computer Vision and Pattern Recognition

KW - Genetic algorithms

KW - Industrial and Manufacturing Engineering

KW - Shape optimisation

KW - Topology optimisation

KW - Computer Graphics and Computer-Aided Design

KW - Computer Science Applications1707 Computer Vision and Pattern Recognition

KW - Genetic algorithms

KW - Industrial and Manufacturing Engineering

KW - Shape optimisation

KW - Topology optimisation

UR - http://hdl.handle.net/10447/241141

M3 - Article

VL - 35

SP - 761

EP - 769

JO - CAD Computer Aided Design

JF - CAD Computer Aided Design

SN - 0010-4485

ER -