Efficient force method for the analysis of finite element models comprising of triangular elements using ant colony optimization

  • Authors:
  • A. Kaveh;M. Daei

  • Affiliations:
  • Department of Civil Engineering, Iran University of Science and Technology, Narmak, Tehran 16, Iran and Institute for Mechanics of Materials and Structures, Vienna University of Technology, Karlsp ...;Department of Civil Engineering, Iran University of Science and Technology, Narmak, Tehran 16, Iran

  • Venue:
  • Finite Elements in Analysis and Design
  • Year:
  • 2009

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Abstract

An efficient algorithm is presented for the formation of null basis of triangular plane stress and plane strain finite element models, corresponding to highly sparse flexibility matrices. This is achieved by applying a modified ant colony system (ACS). An integer linear programming formulation is also presented to evaluate the quality of the results obtained by the proposed ant colony system algorithm. The efficiency of the present algorithm is illustrated through some examples.