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Title of Journal: Struct Multidisc Optim

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Abbravation: Structural and Multidisciplinary Optimization

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Springer-Verlag

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DOI

10.1016/0378-4347(96)00031-x

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1615-1488

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Robust design optimization by polynomial dimension

Authors: Xuchun Ren Sharif Rahman
Publish Date: 2013/03/01
Volume: 48, Issue: 1, Pages: 127-148
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Abstract

This paper introduces four new methods for robust design optimization RDO of complex engineering systems The methods involve polynomial dimensional decomposition PDD of a highdimensional stochastic response for statistical moment analysis a novel integration of PDD and score functions for calculating the secondmoment sensitivities with respect to the design variables and standard gradientbased optimization algorithms New closedform formulae are presented for the design sensitivities that are simultaneously determined along with the moments The methods depend on how statistical moment and sensitivity analyses are dovetailed with an optimization algorithm encompassing direct singlestep sequential and multipoint singlestep design processes Numerical results indicate that the proposed methods provide accurate and computationally efficient optimal solutions of RDO problems including an industrialscale lever arm design

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  2. Multi-dimensional optimization of functionally graded material composition using polynomial expansion of the volume fraction
  3. On symmetry and non-uniqueness in exact topology optimization
  4. Integrated layout and topology optimization design of multi-frame and multi-component fuselage structure systems
  5. Single-level composite wing optimization based on flexural lamination parameters
  6. Topology optimization of composite structures with data-driven resin filling time manufacturing constraint
  7. A survey on handling computationally expensive multiobjective optimization problems using surrogates: non-nature inspired methods
  8. Minimum weight design of solid annular plates under an assigned limit ring load
  9. A sensitivity-based commonality strategy for family products of mild variation, with application to automotive body structures
  10. A new reliability analysis method based on the conjugate gradient direction
  11. Aircraft wing box optimization considering uncertainty in surrogate models
  12. Multidisciplinary dynamic optimization of horizontal axis wind turbine design
  13. Geometrical aspects of optimum truss like structures for three-force problem
  14. Advances in optimization of highrise building structures
  15. Topology optimization of fail-safe structures using a simplified local damage model
  16. Topology optimization of frame structures with flexible joints
  17. A concurrent subspace collaborative optimization architecture to structural synthetical optimization design
  18. Topology optimization of internal partitions in a flow-reversing chamber muffler for noise reduction
  19. Material interpolation schemes for unified topology and multi-material optimization
  20. Variational proof of optimality criteria for Michell structures with pre-existing members
  21. Drop test simulation and surrogate-based optimization of a dishwasher mechanical structure and its packaging module
  22. Resolving issues with member buckling in truss topology optimization using a mixed variable approach
  23. Adaptive infill sampling criterion for multi-fidelity optimization based on Gappy-POD
  24. A comparative study of uncertainty propagation methods for black-box-type problems
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  30. Harmony search algorithm for minimum cost design of steel frames with semi-rigid connections and column bases
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  51. Metamodeling by symbolic regression and Pareto simulated annealing
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