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self-weight
E. Lee, James, K. A., and Martins, J. R. R. A., Stress-Constrained Topology Optimization with Design-Dependent Loading, Structural and Multidisciplinary Optimization, vol. 46, pp. 647–661, 2012.PDF icon Lee2012a.pdf (1.14 MB)
sensitivities
C. A. Mader, ADjoint: An Approach for the Rapid Development of Discrete Adjoint Solvers. University of Toronto Institute for Aerospace Studies, Toronto, ON, 2007.
I. R. Chittick and Martins, J. R. R. A., A New Subspace Optimization Method for Aero-Structural Design, in Proceedings of the 3rd AIAA Multidisciplinary Design Optimization Specialist Conference, Waikiki, HI, 2007.
J. R. R. A. Martins and Chittick, I. R., Subspace Optimization of Multidisciplinary Systems Using Coupled Post-Optimality Sensitivity Analysis, in Proceedings of the 7th World Congress on Structural and Multidisciplinary Optimization, Seoul, South Korea, 2007.
J. R. R. A. Martins, Alonso, J. J., and Reuther, J. J., Aero-Structural Wing Design Optimization Using High-Fidelity Sensitivity Analysis, in Proceedings of the CEAS Conference on Multidisciplinary Aircraft Design and Optimization, Köln, Germany, 2001, pp. 211–226.
J. R. R. A. Martins, Alonso, J. J., and Reuther, J. J., A Coupled-Adjoint Sensitivity Analysis Method for High-Fidelity Aero-Structural Design, Optimization and Engineering, vol. 6, pp. 33–62, 2005.PDF icon Martins2005-A Coupled-Adjoint Sensitivity Analysis Method for High-Fidelity Aero-Structural-a..pdf (593.6 KB)
J. R. R. A. Martins, Sturdza, P., and Alonso, J. J., The Complex-Step Derivative Approximation, ACM Transactions on Mathematical Software, vol. 29, pp. 245–262, 2003.PDF icon Martins2003CSD.pdf (533.7 KB)
shape
N. P. Bons, He, X., Mader, C. A., and Martins, J. R. R. A., Multimodality in Aerodynamic Wing Design Optimization, in 18th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, Denver, CO, 2017.
shape optimization
C. A. Mader and Martins, J. R. R. A., Stability-Constrained Aerodynamic Shape Optimization of Flying Wings, in Proceedings of the CASI Conference, Montreal, QC, 2011.
J. T. Hwang and Martins, J. R. R. A., A Dynamic Parametrization Scheme for Shape Optimization Using Quasi-Newton Methods, in Proceedings of the 50th AIAA Aerospace Sciences Meeting, Nashville, TN, 2012.PDF icon Hwang2012a.pdf (885.22 KB)
stress constraints
E. Lee, James, K. A., and Martins, J. R. R. A., Stress-Constrained Topology Optimization with Design-Dependent Loading, Structural and Multidisciplinary Optimization, vol. 46, pp. 647–661, 2012.PDF icon Lee2012a.pdf (1.14 MB)
surrogate modeling
J. Li, Bouhlel, M. Amine, and Martins, J. R. R. A., A data-based approach for fast airfoil analysis and optimization, in 2018 AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Kissimmee, FL, 2018.
J. T. Hwang and Martins, J. R. R. A., A fast-prediction surrogate model for large datasets, Aerospace Science and Technology, vol. 75, p. 74--87, 2018.PDF icon paper_mdolab.pdf (660.18 KB)