Reference : Note on topology optimization of continuum structures including self-weight
Scientific journals : Article
Engineering, computing & technology : Aerospace & aeronautics engineering
Engineering, computing & technology : Civil engineering
Engineering, computing & technology : Mechanical engineering
Note on topology optimization of continuum structures including self-weight
Bruyneel, Michael mailto [SAMTECH SA > > > > > >]
Duysinx, Pierre mailto [Université de Liège - ULg > Département d'aérospatiale et mécanique > Ingénierie des véhicules terrestres >]
Structural and Multidisciplinary Optimization
Yes (verified by ORBi)
New York
[en] convex approximations ; MMA ; self-weight ; topology optimization
[en] This paper proposes to investigate topology optimization with density-dependent body forces and especially self-weight loading. Surprisingly the solution of such problems cannot be based on a direct extension of the solution procedure used for minimum-compliance topology optimization with fixed external loads. At first the particular difficulties arising in the considered topology problems are pointed out: non-monotonous behaviour of the compliance, possible unconstrained character of the optimum and the parasitic effect for low densities when using the power model (SIMP). To get rid of the last problem requires the modification of the power law model for low densities. The other problems require that the solution procedure and the selection of appropriate structural approximations be revisited. Numerical applications compare the efficiency of different approximation schemes of the MMA family. It is shown that important improvements are achieved when the solution is carried out using the gradient-based method of moving asymptotes (GBMMA) approximations. Criteria for selecting the approximations are suggested. In addition, the applications also provide the opportunity to illustrate the strong influence of the ratio between the applied loads and the structural weight on the optimal structural topology.

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