考虑材料性能不确定性的声振强耦合系统稳健拓扑优化

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振动与冲击 ›› 2023, Vol. 42 ›› Issue (22) : 93-102.

论文

郑文治1，陈海波1，操小龙2

作者信息 +

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

ZHENG Wenzhi1，CHEN Haibo1，CAO Xiaolong2

Author information +

文章历史 +

摘要

针对外声场与结构强耦合问题，亟待开展不确定性优化的发展需求，提出了一种考虑材料性能不确定性的稳健拓扑优化设计方法。采用随机场模型描述材料弹性模量的不确定性，用级数最优线性估值(EOLE)方法将其离散成不相关的随机变量；进而用混沌多项式展开(PCE)方法结合有限元-边界元耦合方法进行随机响应分析。通过材料属性的有理近似(RAMP)模型描述双材料的分布，以辐射声功率级的均值和标准差的加权和作为稳健拓扑优化的目标函数，随机响应的灵敏度同样通过PCE方法获得，最后通过移动渐近线优化算法(MMA)对优化问题进行求解。数值算例表明，本文建立的方法相较于确定性拓扑优化可以获得对材料弹性模量不确定性更加不敏感的设计，这是不确定性优化方法在含外声场的声振强耦合问题上的一个新的拓展研究。

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.

导出引用

郑文治1，陈海波1，操小龙2. 考虑材料性能不确定性的声振强耦合系统稳健拓扑优化[J]. 振动与冲击, 2023, 42(22): 93-102

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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