Reference : Contributions to handle maximum size constraints in density-based topology optimization
Scientific conferences in universities or research centers : Scientific conference in universities or research centers
Engineering, computing & technology : Mechanical engineering
http://hdl.handle.net/2268/223618
Contributions to handle maximum size constraints in density-based topology optimization
English
Fernandez Sanchez, Eduardo Felipe mailto [Université de Liège - ULiège > Département d'aérospatiale et mécanique > Ingénierie des véhicules terrestres >]
Collet, Maxime mailto [Université de Liège - ULiège > Département d'aérospatiale et mécanique > Ingénierie des véhicules terrestres >]
Bauduin, Simon mailto [Université de Liège - ULiège > Département d'aérospatiale et mécanique > Ingénierie des véhicules terrestres >]
Lemaire, Etienne [Samtech - Siemens, Liège, Belgique > > > >]
Duysinx, Pierre mailto [Université de Liège - ULiège > Département d'aérospatiale et mécanique > Ingénierie des véhicules terrestres >]
14-Sep-2017
International
Young Investigators Conference 2017
du 13 septembre 2017 au 15 septembre 2017
Politecnico di Milano
Milano
Italy
[en] Maximum Size ; Minimum Gap ; Aggregation funtions
[en] The maximum size formulation in topology optimization restricts the amount of material within a test region in each point in the design domain, leading to a highly constrained problem. In this work the local constraints are aggregated into a single one by p-mean and p-norm functions, classically used for stress constraints. Moreover, a new test region is investigated which is a ring instead of the classical circle around the element. These developments were implemented for compliance minimization with the MBB beam test case. Results indicate that p-mean performs better in the maximum size field than p-norm, because it underestimates the most violated constraint. This gives some relaxation to the problem that allows stiffer connections. Similar effect has been observed for the ring-shaped region which reduces the amount of holes that are introduced in the structure, specially in the connection of solid members. In addition, it is shown that the maximum size formulation allows the definition of the minimum gap between solid members which gives designers more control over the geometry. The developments have been illustrated and validated with compliance minimization tests of 2D-domains.
This work was supported by the AERO+ project founded by the Plan Marchal and the Wallon Region of Belgium.
Aero+
http://hdl.handle.net/2268/223618

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