TY - JOUR
N2 - In the paper the new paradigm for structural optimization without volume constraint is presented. Since the problem of stiffest design (compliance minimization) has no solution without additional assumptions, usually the volume of the material in the design domain is limited. The biomimetic approach, based on trabecular bone remodeling phenomenon is used to eliminate the volume constraint from the topology optimization procedure. Instead of the volume constraint, the Lagrange multiplier is assumed to have a constant value during the whole optimization procedure. Well known MATLAB topology based optimization code, developed by Ole Sigmund, was used as a tool for the new approach testing. The code was modified and the comparison of the original and the modified optimization algorithm is also presented. With the use of the new optimization paradigm, it is possible to minimize the compliance by obtaining different topologies for different materials. It is also possible to obtain different topologies for different load magnitudes. Both features of the presented approach are crucial for the design of lightweight structures, allowing the actual weight of the structure to be minimized. The final volume is not assumed at the beginning of the optimization process (no material volume constraint), but depends on the material’s properties and the forces acting upon the structure. The cantilever beam example, the classical problem in topology optimization is used to illustrate the presented approach.
L1 - http://czasopisma.pan.pl/Content/119995/PDF/20_02338_Bpast.No.69(4)_27.08.21_druk.pdf
L2 - http://czasopisma.pan.pl/Content/119995
PY - 2021
IS - 4
EP - e137732
DO - 10.24425/bpasts.2021.137732
KW - topology optimization
KW - lightweight design
KW - biomimetic structural optimization
A1 - Nowak, Michał
A1 - Boguszewski, Aron
VL - 69
DA - 27.06.2021
T1 - Topology optimization without volume constraint – the new paradigm for lightweight design
SP - e137732
UR - http://czasopisma.pan.pl/dlibra/publication/edition/119995
T2 - Bulletin of the Polish Academy of Sciences Technical Sciences
ER -