SLEPc: A scalable and flexible toolkit for the solution of eigenvalue problems
ACM Transactions on Mathematical Software (TOMS) - Special issue on the Advanced CompuTational Software (ACTS) Collection
Minimax optimization problem of structural design
Computers and Structures
Shape Optimization Under Uncertainty—A Stochastic Programming Perspective
SIAM Journal on Optimization
Finite Elements in Analysis and Design
Application of topology optimization to design an electric bicycle main frame
Structural and Multidisciplinary Optimization
Robust topology optimization accounting for misplacement of material
Structural and Multidisciplinary Optimization
Hi-index | 0.00 |
We describe a systematic approach for the robust optimal design of linear elastic structures subjected to unknown loading using minmax and topology optimization methods. Assuming only the loading region and norm, we distribute a given amount of material in the design domain to minimize the principal compliance, i.e. the maximum compliance that is produced by the worst-case loading scenario. We evaluate the principal compliance directly by satisfying the optimality conditions which take the form of a Steklov eigenvalue problem and thus we eliminate the need of an iterative nested optimization. To generate a well-posed topology optimization problem we use relaxation which requires homogenization theory. Examples are provided to demonstrate our algorithm.