基于等几何边界元法的声屏障结构形状优化分析

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摘要对声屏障结构进行优化设计是提高其降噪性能的有效解决方案，并具有重要实际意义。已有工作集中于对简单结构进行局部优化或对简单的整体结构进行尺寸优化，由于采用传统几何插值方法描述结构形状，难以灵活地控制形状变化，并需进行网格重构，限制了对声屏障整体结构的优化设计。采用等几何分析方法，实现几何模型与分析模型的同一表达，以非均匀有理B样条（NURBS）建模的控制点坐标为设计变量，以声影区参考点声压幅值在一定频带上的均值为目标函数，满足多约束条件下的目标函数最小为设计目标，建立基于等几何分析（IGA）和边界元法的结构声学优化数学模型，并采用移动近似算法(MMA)进行二维声屏障结构形状优化分析，算例证明该方法有效提高优化设计的灵活性。

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	陈磊磊1
	申晓伟1
	刘程2
	徐延明2

关键词 ：等几何边界元, 敏感度分析, 结构形状优化, 声屏障

Abstract：The optimization design of sound barrier structures is an effective solution to improve its noise reduction performance, which has important practical significance. Previous work has focused on the local optimization of simple structures or the size optimization of simple monolithic structures. Because the traditional geometric interpolation method is usually used to describe the shape of the structure, it is difficult to control the shape change flexibly. What’s more, the mesh reconstruction is needed in the optimization process, which makes against the global optimization of the noise barrier. By use of the isogeometric analysis method, the same expression for both geometrical model and analysis model was achieved. The coordinates of the control points of non uniform rational B sample (NURBS) which represent the structural model were chosen as design variables, the mean acoustic pressure at some computing points in certain frequency range was set as the objective function. The mathematical model of the structural acoustic optimization based on isogeometric boundary element was presented. The moving approximation algorithm (MMA) was applied for the shape optimization analysis of two-dimensional sound barrier structures.

Key words： isogeometric boundary element sensitivity analysis structural shape optimization noise barrier

收稿日期: 2017-11-14 出版日期: 2019-03-15

引用本文:

陈磊磊1,申晓伟1,刘程2，徐延明2. 基于等几何边界元法的声屏障结构形状优化分析[J]. 振动与冲击, 2019, 38(6): 114-120.
CHEN Leilei1，SHEN Xiaowei1，LIU Cheng2，XU Yanming2. Shape optimization analysis of sound barriers based on the isogeometric boundary element method. JOURNAL OF VIBRATION AND SHOCK, 2019, 38(6): 114-120.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2019/V38/I6/114

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