Robust topology optimization of strongly coupled structural-acoustic systems considering material properties uncertainty

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Journal of Vibration and Shock ›› 2023, Vol. 42 ›› Issue (22) : 93-102.

ZHENG Wenzhi1，CHEN Haibo1，CAO Xiaolong2

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Abstract

For strongly coupled problem between external acoustic field and structure, there is an urgent need for the development of uncertainty optimization, and a robust topology optimization method considering the uncertainty of material performance is presented. A random field model is used to describe the uncertainty of the elastic modulus of the material, and the expansion optimal linear estimation (EOLE) method is used to discretize it into uncorrelated random variables. The polynomial chaos expansion(PCE) method is combined with the FE-BE coupling method for the random response analysis. The rational approximation of material properties (RAMP) model is used to describe the distribution of bi-materials. A weighted sum of the mean and standard deviation of the radiation sound power level is set as the objective function for robust topology optimization. The sensitivity of the random response is also obtained by the PCE method, and then the optimization problem is solved by the method of moving asymptotes (MMA). Numerical tests show that the proposed method can obtain designs that are less sensitive to the uncertainty of elastic modulus than the deterministic topology optimization, This is a new extension of uncertain optimization methods to strongly coupled problems between external acoustic field and structure.

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coupled structural-acoustic systems / topology optimization / robust design / polynomial chaos expansion

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ZHENG Wenzhi1，CHEN Haibo1，CAO Xiaolong2. Robust topology optimization of strongly coupled structural-acoustic systems considering material properties uncertainty[J]. Journal of Vibration and Shock, 2023, 42(22): 93-102

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