Abstract
It is proved that an optimal {ε, 1}n solution to a “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.
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Svanberg, K., Werme, M. On the validity of using small positive lower bounds on design variables in discrete topology optimization. Struct Multidisc Optim 37, 325–334 (2009). https://doi.org/10.1007/s00158-008-0248-1
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DOI: https://doi.org/10.1007/s00158-008-0248-1