Shape optimization analysis of sound barriers based on the isogeometric boundary element method

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Journal of Vibration and Shock ›› 2019, Vol. 38 ›› Issue (6) : 114-120.

CHEN Leilei1，SHEN Xiaowei1，LIU Cheng2，XU Yanming2

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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

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CHEN Leilei1，SHEN Xiaowei1，LIU Cheng2，XU Yanming2. Shape optimization analysis of sound barriers based on the isogeometric boundary element method[J]. Journal of Vibration and Shock, 2019, 38(6): 114-120

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