Dunning, Peter D. and Kim, H. Alicia  ORCID: https://orcid.org/0000-0002-5629-2466
2015.
Introducing the sequential linear programming level-set method for topology optimization.
Structural and Multidisciplinary Optimization
51
(3)
, pp. 631-643.
10.1007/s00158-014-1174-z
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Abstract
This paper introduces an approach to level-set topology optimization that can handle multiple constraints and simultaneously optimize non-level-set design variables. The key features of the new method are discretized boundary integrals to estimate function changes and the formulation of an optimization sub-problem to attain the velocity function. The sub-problem is solved using sequential linear programming (SLP) and the new method is called the SLP level-set method. The new approach is developed in the context of the Hamilton-Jacobi type level-set method, where shape derivatives are employed to optimize a structure represented by an implicit level-set function. This approach is sometimes referred to as the conventional level-set method. The SLP level-set method is demonstrated via a range of problems that include volume, compliance, eigenvalue and displacement constraints and simultaneous optimization of non-level-set design variables.
| Item Type: | Article |
|---|---|
| Date Type: | Publication |
| Status: | Published |
| Schools: | Schools > Engineering |
| Subjects: | T Technology > TA Engineering (General). Civil engineering (General) |
| Publisher: | Springer Verlag |
| ISSN: | 1615-147X |
| Date of First Compliant Deposit: | 3 June 2016 |
| Date of Acceptance: | 17 September 2014 |
| Last Modified: | 05 May 2023 11:16 |
| URI: | https://orca.cardiff.ac.uk/id/eprint/91346 |
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