TY - JOUR
T1 - Stress, displacement and weight minimization by multicriteria optimization and game theory approach
AU - Domaszewski, M.
AU - Bassir, H.
AU - Zhang, W. H.
PY - 1999
Y1 - 1999
N2 - Structural design problems, which usually involve multiple conflicting criteria to be considered simultaneously, often occur. In this paper, three objective functions are considered, i.e. weight, displacements and von Mises criterion, in application to sizing optimization of bending (beam) and 2-D (plane stress state) structures. Design variables are represented by thickness parameters, and the constraints deal directly with displacements and/or stresses. Then various multicriteria problems are formulated. A scalarization method based on the game theory is applied. Linear programming techniques are employed to find the weighting coefficients, and they generate Pareto-optimal solutions of multicriteria optimization problems. To solve the involved optimization problems a sensitivity analysis based on the scaling of the internal forces (continuum approach) is developed and interfaced with ABAQUS code.
AB - Structural design problems, which usually involve multiple conflicting criteria to be considered simultaneously, often occur. In this paper, three objective functions are considered, i.e. weight, displacements and von Mises criterion, in application to sizing optimization of bending (beam) and 2-D (plane stress state) structures. Design variables are represented by thickness parameters, and the constraints deal directly with displacements and/or stresses. Then various multicriteria problems are formulated. A scalarization method based on the game theory is applied. Linear programming techniques are employed to find the weighting coefficients, and they generate Pareto-optimal solutions of multicriteria optimization problems. To solve the involved optimization problems a sensitivity analysis based on the scaling of the internal forces (continuum approach) is developed and interfaced with ABAQUS code.
UR - http://www.scopus.com/inward/record.url?scp=0033298680&partnerID=8YFLogxK
M3 - 会议文章
AN - SCOPUS:0033298680
SN - 1462-6055
VL - 5
SP - 171
EP - 181
JO - International Conference on Computer Aided Optimum Design of Structures, OPTI, Proceedings
JF - International Conference on Computer Aided Optimum Design of Structures, OPTI, Proceedings
T2 - Computer Aided Optimum Design of Structures VI - OPTI 99
Y2 - 16 March 1999 through 18 March 1999
ER -