A LOCAL-RESTART COUPLED STRATEGY FOR SIMULTANEOUS SIZING AND GEOMETRY TRUSS OPTIMIZATION

Authors

  • ANDRÉ JACOMEL TORII UNIVERSIDADE FEDERAL DO PARANá (UFPR)
  • RAFAEL HOLDORF LOPEZ INSTITUT NATIONAL DES SCIENCES APPLIQUéES (INSA) DE ROUEN
  • MARCO ANTôNIO LUERSEN UNIVERSIDADE TECNOLóGICA FEDERAL DO PARANá (UTFPR)

Keywords:

GLOBAL OPTIMIZATION, TRUSS STRUCTURES, GEOMETRY OPTIMIZATION, SIZE OPTIMIZATION, STRESS CONSTRAINTS, MINIMUM VOLUME

Abstract

THIS PAPER PRESENTS AN APPROACH FOR THE GLOBAL OPTIMIZATION OF THE SIMULTANEOUS SIZING AND GEOMETRY TRUSS OPTIMIZATION THAT IS BASED ON A PROBABILISTIC RESTART PROCEDURE COUPLED WITH A LOCAL SEARCH ALGORITHM. THE RESULTING ALGORITHM IS ABLE TO GUARANTEE LOCAL OPTIMALITY AND TO ASYMPTOTICALLY CONVERGE TO THE GLOBAL OPTIMUM. AS A RESULT A SET OF LOCAL OPTIMA (EVENTUALLY CONTAINING THE GLOBAL ONE) IS OBTAINED. THE OPTIMIZATION PROBLEM SEARCHES FOR A TRUSS STRUCTURE OF MINIMUM VOLUME, SUBJECT TO STRESS CONSTRAINTS. THE DESIGN VARIABLES ARE THE BARS CROSS-SECTION AREAS AND SOME NODAL COORDINATES. SEVERAL LOADING CONDITIONS ARE ALSO CONSIDERED. FINALLY, THREE NUMERICAL EXAMPLES ARE PRESENTED AND THE MAIN ASPECTS OF THE APPROACH ARE DISCUSSED.

Author Biographies

ANDRÉ JACOMEL TORII, UNIVERSIDADE FEDERAL DO PARANá (UFPR)

CESEC - CENTRO DE ESTUDOS DE ENGENHARIA CIVIL

RAFAEL HOLDORF LOPEZ, INSTITUT NATIONAL DES SCIENCES APPLIQUéES (INSA) DE ROUEN

LABORATOIRE DE MÉCANIQUE DE ROUEN

MARCO ANTôNIO LUERSEN, UNIVERSIDADE TECNOLóGICA FEDERAL DO PARANá (UTFPR)

DAMEC - DEPARTAMENTO ACADÊMICO DE MECÂNICA

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Published

2011-09-05

Issue

Vol. 8 No. 3 (2011)

Section

Articles

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