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Abstract
The classical minimum compliance problem for truss topology optimization is generalized to accommodate for failsafe requirements. Failure is modeled as either a complete damage of some predefined number of members or by degradation of the member areas. The considered problem is modeled as convex conic optimization problems by enumerating all possible damage scenarios. This results in problems with a generally large number of variables and constraints. A workingset algorithm based on solving a sequence of convex relaxations is proposed. The relaxations are obtained by temporarily removing most of the complicating constraints. Some of the violated constraints are reintroduced, the relaxation is resolved, and the process is repeated. The problems and the associated algorithm are applied to optimal design of twodimensional truss structures revealing several properties of both the algorithm and the optimal designs. The workingset approach requires only a few relaxations to be solved for the considered examples. The numerical results indicate that the optimal topology can change significantly even if the damage is not severe.
Original language  English 

Journal  Structural and Multidisciplinary Optimization 
Volume  60 
Issue number  4 
Pages (fromto)  16051618 
Number of pages  14 
ISSN  1615147X 
DOIs  
Publication status  Published  2019 
Keywords
 Failsafe optimal design
 Minimum compliance
 Secondorder cone programming
 Semidefinite programming
 Truss topology optimization
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Projects
 1 Finished

SELMA: FailSafe Structural Optimization
Stolpe, M., Dou, S., Verbart, A. & Rojas Labanda, S.
01/01/2018 → 31/12/2020
Project: Research