PLATE BENDING FINITE ELEMENT ANALYSIS BY THE FORCE METHOD USING ANT COLONY OPTIMIZATION

10.22099/ijstc.2013.946

Abstract

The  formation  of  null  basis  for  equilibrium  matrix  is  the  most  important  part  of  the finite element analysis when the force method is utilized. For an optimal analysis, the selected null basis  matrices  should  be  sparse  and  banded  leading  to  sparse,  banded  and  well-conditioned flexibility  matrices.  In  this  paper,  an  efficient  algorithm  is  developed  for  the  formation  of  null basis  of  triangular and rectangular  plate  bending  finite  element  models,  corresponding  to  highly sparse flexibility matrices. This is achieved by applying a modified ant colony system. 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.

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