Computing Multimodal Solution Spaces for Disjoint Feasible Regions

  • Demir, Kutay (Ruhr University Bochum)
  • Gerhard, Detlef (Ruhr University Bochum)

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Box-shaped solution spaces provide independently selectable design-variable intervals. A single box, however, cannot span several disjoint feasible regions without also including infeasible designs. This paper introduces the Multimodal Solution Space (MMSS), a finite union of boxes in which each box represents an alternative design mode. Variables common to all modes are assigned shared intervals, while variables that distinguish the modes have separate intervals. In a resonance-avoiding cantilever-beam example, the method identifies low- and high-frequency design modes.