Robust topology optimization for harmonic displacement minimization of structures subjected to uncertainty in the excitation frequency

摘要

This work studies the robust design of structures with minimum dynamic response considering uncertainties in the excitation frequency, using topology optimization. The Monte Carlo Simulation method with stratified sampling is used to model both the expected value and standard deviation of the structural dynamic response, described by a density-weighted norm. Results show that the proposed formulation leads to the design of structures with minimum dynamic response and improved robustness, which is attested by comparison with the deterministic approach. Results also show that the mechanisms used to increase the robustness depend on the target frequency. For low frequencies, a mode separation is preferred, while for higher frequencies, low-energy resonant modes are used. (C) 2021 Elsevier B.V. All rights reserved.