120 / 2021-03-31 00:54:01

Robust topology optimization of CLD on plates under interval uncertainty

Constrained layer damping; Robust topology optimization; Interval analysis; Robustness evaluation factor.

 Constrained layer damping (CLD) treatments are widely used in the design of vibration and noise reduction for thin-walled structures. The majority of current studies about the topology optimization of CLD structures are based on the deterministic assumption, which may result in a design with poor performance for suppressing vibration and noise due to inevitable manufacturing tolerance, inhomogeneity of material properties, and so on. Therefore, it is necessary to consider the uncertainty factors in the topology optimization design for CLD structures. This paper proposes an efficient robust topology optimization(RTO) approach for CLD structures under interval uncertainty. Firstly, an interval finite element model for CLD structures is established with the uncertain geometric parameters and material properties. Secondly, an interval analysis method based on the Taylor-series is developed to determining the interval vibration characteristics of CLD structures. Thirdly, a robust topology optimization model is proposed, in which the robustness evaluation factor and interval probability are introduced to design or transform the objective function and constraints respectively. Finally, the design sensitivities for objective functions are formulated based on the adjoint vector method, which enable the direct application of gradient-based optimization algorithms, e.g. the Method of Moving Asymptotes (MMA), to the interval uncertain topology optimization problems. Several examples are presented to demonstrate the effectiveness of the proposed method.