Review of options for structural design sensitivity analysis. Part 1: Linear systems

By Fred van Keulen, Raphael T. Haftka, Nam-Ho Kim. 2005

351 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/537b3e60874268185ecbc9173979c996cb753a6f

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In Civil and Structural Engineering

In Statistics and Probability

Citations in the corpus

Topology optimization of heat conduction problems using the finite volume method (2006, background): “The complex variable trick is typically not applied in structural optimization problems but is a strong and valuable tool, cf., Squire and Trapp (1998) (see also van Keulen et al. 2005 ).”
Analytical Sensitivity Analysis of an Unsteady Vortex Lattice Method for Flapping Wing Optimization (2009, background): “Many techniques for computing these design derivatives exist [20], though the current discussion is concerned only with analytical methods: direct and adjoint.”
Isogeometric design of elastic arches for maximum fundamental frequency (2011, background): “Moreover the inherent geometric error is likely to result in inconsistent design sensitivities ( van Keulen et al. 2005 ).”
Review and Unification of Methods for Computing Derivatives of Multidisciplinary Computational Models (2013, background): “In such cases, using a large enough step can effectively smooth the derivative and capture the correct trend in the function of interest [95].”
Multidisciplinary design optimization: A survey of architectures (2013, methodology): “If the analysis codes require a particularly long time to evaluate, automatic differentiation or analytic derivative calculations (direct or adjoint methods) can be used to avoidmultiple discipline-analysis evaluations [94–98].”
Universal Differential Equations for Scientific Machine Learning (2020, background): “[104] F Van Keulen, RT Haftka, and NH Kim.”
On the sensitivities of multiple eigenvalues (2011, methodology): “For alternative approaches to the problem we refer to the two review papers ( van Keulen et al.2005; Seyranian et al. 1994) and references therein.”
Design sensitivity and Hessian matrix of generalized eigenproblems (2014, neutral): “(For details, [1, 2, 3, 4, 5] or [6].”
An additive manufacturing filter for topology optimization of print-ready designs (2016, background): “Note the resemblance to adjoint sensitivity analysis of transient problems (Van Keulen et al. 2005), caused by the layerwise, sequential nature of the AM filter.”