Technologies

Reliability-based topology optimization of continuum structures subject to local stress constraints

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2019-03-05 20:44
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Title



Reliability-based topology optimization of continuum structures subject to local stress constraints


Authors


Gustavo Assis da Silva; André Teófilo Beck


Journal


Structural and Multidisciplinary Optimization, (2017)


Keywords


Reliability-based topology optimization; Stress constraints; Loading uncertainties; Augmented Lagrangian


Abstract


Topology optimization of continuum structures is a challenging problem to solve, when stress constraints are considered for every finite element in the mesh. Difficulties are compounding in the reliability-based formulation, since a probabilistic problem needs to be solved for each stress constraint. This paper proposes a methodology to solve reliability-based topology optimization problems of continuum domains with stress constraints and uncertainties in magnitude of applied loads considering the whole set of local stress constrains, without using aggregation techniques. Probabilistic constraints are handled via a first-order approach, where the principle of superposition is used to alleviate the computational burden associated with inner optimization problems. Augmented Lagrangian method is used to solve the outer problem, where all stress constraints are included in the augmented Lagrangian function; hence sensitivity analysis may be performed only for the augmented Lagrangian function, instead of for each stress constraint. Two example problems are addressed, for which crisp black and white topologies are obtained. The proposed methodology is shown to be accurate by checking reliability indices of final topologies with Monte Carlo Simulation.


Link


https://link.springer.com/article/10.1007/s00158-017-1865-3