We demonstrate the design of resonating structures using a density-based topology optimization approach, requiring the eigenfrequencies to match a set of target values. To develop a solution, several optimization modules are implemented, including material interpolation models, penalization schemes, filters, sensitivities, and linear programming solver. Moreover, common challenges in topology optimization for dynamic systems and their solutions are discussed. 
In this study, the objective function is minimizing the error between the target and actual eigenfrequency values. The finite element method is used to compute the required eigenfrequencies. To solve the optimization problem, we use the sequential linear programming algorithm with move limits, enhanced by the use of filtering techniques. Finally, we present a resonator design as the case study and analyze the design process while using different optimization parameters.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Topology Optimization Design of Structures Based on Eigenfrequency Matching

Paper Proceedings: https://asmedigitalcollection.asme.org/IDETC-CIE/IDETC-CIE2021/volume/85369

ASME 2021 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference (IDETC/CIE2021)

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