Communication Dans Un Congrès Année : 2024

Constrained Parametric Global Optimization of a Vibration Problem with Non-Linear Interfaces

Résumé

The design of complex structures is a challenging task, especially for structures with non-linear interfaces. In this context, the use of advanced numerical methods is required to accurately predict the behavior of the structure. However, these methods are often computationally expensive, which makes the global optimization of such structures difficult especially when classical optimizers are used. In this work, the considered vibration mechanical problem, which remains on the design of an anti-tipping device for a gantry crane, is solved using Craig-Bampton and a Harmonic Balance Method improved with Alternating Frequency-Time approach and continuation procedures. This strategy allows to compute the response along a frequency range and for a set of design parameters which govern, here, the non-linear behavior at the interfaces (stiffnesses and gaps at contact area). Although the approach provides accurate solutions with a significant time reduction in comparison with other approaches (time iterative solver for instance), this method remains computationally expensive and not suitable for constrained global optimization. Therefore, a constrained Bayesian optimization is used to find the optimal design of the structure. Based on Gaussian Process, this method consists in the construction of initial surrogate models for the objective and constraint functions which are iteratively infilled with new responses in order to efficiently locate the optimum. For this purpose, an acquisition function called Constrained Expected Improvement is used. The proposed strategy is applied on the gantry crane problem and it is especially analyzed for many number of initial sample points. It shows good performance to identify optimal design with a limited number of solver calls.
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Dates et versions

hal-04642730 , version 1 (10-07-2024)

Identifiants

  • HAL Id : hal-04642730 , version 1

Citer

Luc Laurent, Quentin Ragueneau, Antoine Legay, Thomas Larroque, Romain Crambuer. Constrained Parametric Global Optimization of a Vibration Problem with Non-Linear Interfaces. 16th World Congress on Computational Mechanics and 4th Pan American Congress on Computational Mechanics, Jul 2024, Vancouver (BC), Canada. ⟨hal-04642730⟩
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