Structural Engineering and Mechanics

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Sensitivity and optimisation procedures for truss structures under large displacement

  • Bothma, A.S. (Department of Mathematics and Applied Mathematics, University of Cape Town) ;
  • Ronda, J. (Department of Mathematics and Applied Mathematics, University of Cape Town) ;
  • Kleiber, M. (Institute of Fundamental Technological Research, Polish Academy of Sciences)
  • Published : 1999.01.25
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Abstract

The work presented here focuses on the development of suitable discretised formulations, for large-displacement shape and non-shape design sensitivity analysis (DSA), which enable the straightforward incorporation of structural optimisation into established finite element analysis (FEA) codes. For the generalised displacement-based functional the design sensitivity vector has been expressed in terms of displacement sensitivity. The Total Lagrangian formulation is utilised for modelling of large deformation of truss structures. The variational formulation of the sensitivity analysis procedure is discretised by using "pseudo" - finite elements, Results are presented for the sensitivity analysis and optimisation of standard truss structures. For the purposes of this work, the analysis and optimisation procedures outlined below are incorporated into the FEA code ABAQUS.

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References

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