On the validity of using small positive lower bounds on design variables in discrete topology optimization
Krister Svanberg and Mats Werme
Optimization and Systems Theory, Royal Institute of
Technology (KTH), Stockholm, Sweden
ABSTRACT:
It is proved that an optimal {ε, 1}n solution to an “ε-perturbed” discrete minimum weight problem with constraints on compliance, von Mises stresses and strain energy densities, is optimal, after rounding to {0, 1}n, to the corresponding “unperturbed” discrete problem, provided that the constraints in the perturbed problem are carefully defined and ε>0 is sufficiently small.