An adaptive approach to constraint aggregation using adjoint sensitivity analysis

By Nicholas M. K. Poon, Joaquim R. Martins. 2007

225 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Numerical Analysis, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/cd11268bb38d9a636ff49138f89bdd5536bd8093

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Citations in the corpus

Stress constraints sensitivity analysis in structural topology optimization (2010, background): “Now, if we take into account the previous consideration, the global stress constraint function proposed in [20, 21] can be written, according to [13, 25], as”
Improved constraint-aggregation methods (2015, background): “Other authors have approached the optimization problem (Opt) by using smooth approximations of the bound constraint using constraint aggregation [18, 1, 23, 24, 29, 18, 11, 24].”
Stress-constrained topology optimization with design-dependent loading (2012, unknown): “(10) Since this is not differentiable, the aggregating p-norm function σP N = [ n∑ e=1 ( F(σe) σy )p]1/p (11) or the KS function (Kreisselmeier and Steinhauser 1979; Poon and Martins 2007) σK S = 1 p ln [ n∑ e=1 exp ( p F(σe) σy )] (12) is preferable.”
An evaluation of constraint aggregation strategies for wing box mass minimization (2017, background): “Several references in the literature (Wrenn, 1989; Raspanti et al., 2000; Akgün et al., 2001; Poon and Martins, 2007) suggest a value of ρ = 50 to balance these considerations.”
Review and Unification of Methods for Computing Derivatives of Multidisciplinary Computational Models (2013, background): “Currently, oneway to circumvent this problem is to aggregate the constraints to make the adjoint method more advantageous, but this usually slows down the convergence of the optimization [95].”
Failure Mitigation in Optimal Topology Design Using a Coupled Nonlinear Continuum Damage Model (2014, methodology): “To solve this problem, authors typically implement constraint aggregation techniques based on the Kreisselmeier-Steinhaused [3, 4] or P-norm [5] envelope functions.”
pyOpt: a Python-based object-oriented framework for nonlinear constrained optimization (2011, unknown): “For this problem, medium-fidelity aerodynamic and structural analyses are used (Chittick and Martins 2008; Poon and Martins 2007).”
Topology Optimization (2009, methodology): “For example, the standard KSfunction has been used in combination with an adaptive update strategy of the aggregation parameter [50].”