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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

10.1007/s10600-015-1485-3

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1615-1488

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Shape sensitivity analysis using a fixed basis fun

Authors: JS Hansen ZS Liu N Olhoff
Publish Date: 2014/02/03
Volume: 21, Issue: 3, Pages: 177-195
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Abstract

An approach is presented for the determination of solution sensitivity to changes in problem domain or shape A finite element displacement formulation is adopted and the point of view is taken that the finite element basis functions and grid are fixed during the sensitivity analysis therefore the method is referred to as a “fixed basis function” finite element shape sensitivity analysis This approach avoids the requirement of explicit or approximate differentiation of finite element matrices and vectors and the difficulty or errors resulting from such calculations Effectively the sensitivity to boundary shape change is determined exactly thus the accuracy of the solution sensitivity is dictated only by the finite element mesh used The evaluation of sensitivity matrices and force vectors requires only modest calculations beyond those of the reference problem finite element analysis that is certain boundary integrals and reaction forces on the reference location of the moving boundary are required In addition the formulation provides the unique family of element domain changes which completely eliminates the inclusion of grid sensitivity from the shape sensitivity calculation The work is illustrated for some onedimensional beam problems and is outlined for a twodimensional C0 problem the extension to threedimensional problems is straightforward

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  3. On symmetry and non-uniqueness in exact topology optimization
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  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
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  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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  29. Hybrid evolutionary algorithm and application to structural optimization
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