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Structural Engineering and Mechanics Volume 7, Number 1, January 1999 , pages 111-126 DOI: https://doi.org/10.12989/sem.1999.7.1.111 |
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Sensitivity and optimisation procedures for truss structures under large displacement |
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Bothma AS, Ronda J, Kleiber M
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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. | ||
| Key Words | ||
| structural optimisation, design sensitivity analysis, finite element method | ||
| Address | ||
| Bothma AS, Univ Cape Town, Dept Math & Appl Math, ZA-7700 Rondebosch, South Africa Univ Cape Town, Dept Math & Appl Math, ZA-7700 Rondebosch, South Africa Polish Acad Sci, Inst Fundamental Technol Res, PL-0049 Warsaw, Poland | ||