附加自由阻尼板阻尼材料降噪拓扑优化

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振动与冲击 ›› 2017, Vol. 36 ›› Issue (11) : 192-198.

论文

附加自由阻尼板阻尼材料降噪拓扑优化

徐伟1，2 张志飞1，2 庾鲁思1，2 徐中明1，2

作者信息 +

Finite element modelling and topology optimization design for structures with free damping

Xu Wei1, 2 Zhang Zhifei1, 2 Yu Lusi1,2 Xu Zhongming1,2

Author information +

文章历史 +

摘要

对附加自由阻尼的板件结构，考虑粘贴阻尼材料前后，中性面位置的变化，利用Matlab编程建立自由阻尼板有限元模型，并利用Rayleigh积分法推导了薄板结构的辐射声压表达式；以辐射声场内某点的声压最小为目标，阻尼材料的体积为约束条件，建立拓扑优化模型。以悬臂板结构为例，编写了拓扑优化程序，利用渐进结构优化算法，获得了阻尼材料的最优布局，并与以模态损耗因子最大为目标的拓扑优化结果进行了对比。结果表明：在主要关注目标是结构的声学性能时，直接以声压为目标的优化方法比以模态损耗因子最大为目标的优化方法更有针对性，效果更好。最后利用实验对仿真结果进行了实验验证。

Abstract

Considering the change of the neutral surface with or without damping materials, this paper developed a model for plate structure with free damping using Matlab. The sound radiation pressure from the vibration of a thin plate was derived with Rayleigh integral. A topology optimization model for distribution of free damping materials was built with the objective defined as the minimum of the sound radiation pressure of a cantilever plate. In addition, the constraint condition was defined as the volume fraction of damping materials. With the evolutionary structural optimization method, the optimal distribution of damping materials was determined. Compared with the result which the objective function was defined as the maximization of the modal loss factor, it was concluded that method whose objective was defined as the minimum of the sound radiation pressure was better for noise reduction. Finally, the simulation was verified with experiments.

导出引用

徐伟1，2 张志飞1，2 庾鲁思1，2 徐中明1，2. 附加自由阻尼板阻尼材料降噪拓扑优化[J]. 振动与冲击, 2017, 36(11): 192-198

Xu Wei1, 2 Zhang Zhifei1, 2 Yu Lusi1,2 Xu Zhongming1,2. Finite element modelling and topology optimization design for structures with free damping[J]. Journal of Vibration and Shock, 2017, 36(11): 192-198

参考文献

[1] 杨德庆. 动响应约束下阻尼材料配置优化的拓扑敏度法[J], 上海交通大学学报, 2003, 37(8): 1209-1212,1225.
Yang De-qing. Topological sensitivity method for the optimal placement of unconstrained damping materials under dynamic response constraints[J], Journal of Shanghai Jiaotong University, 2003, 37(8): 1209-1212,1225.
[2] 杨莉, 孙庆鸿. 自由阻尼处理结构的有限元建模及声辐射分析[J], 振动工程学报, 2004,17(3): 58-62.
Yang Li, Sun Qing-hong. Finite element modelling and acoustic radiation analysis of structures with free damping treatment[J], Journal of Vibration Engineering, 2004,17(3): 58-62.
[3] 吕毅宁, 吕振华, 赵波，等. 附加自由阻尼结构系统的有限元分析和拓扑优化设计方法研究[J], 计算力学学报, 2012, 29(2): 178-183.
Lϋ Yi-ning, Lϋ Zhen-hua, Zhao Bo, et al. A finite element analysis and topology optimization method for structures with free damping[J], Chinese Journal of Computational Mechanics, 2012, 29(2): 178-183.
[4] 张志飞, 倪新帅, 徐中明，等. 基于优化准则法的自由阻尼材料拓扑优化[J], 振动与冲击, 2013, 32(14): 98-102.
Zhang Zhi-fei, Ni Xin-shuai, Xu Zhong-ming, et al. Topologic optimization of a free damping material based on optimal criteria method[J], Journal of Vibration and Shock, 2013, 32(14): 98-102.
[5] 李伟. 车身结构动特性分析与自由阻尼层布置优化[D]. 吉林大学, 2014.
Li Wei. Body structure dynamic analysis and free damping layer treatment optimization[D], Jilin University, 2014.
[6] A. El-Sabbagh, A. Baz. Topology optimization of unconstrained damping treatments for plates[J], Engineering Optimization, 2014, 46(9): 1153-1168.
[7] 吴晴晴, 王敏庆. 考虑基底层阻尼的自由阻尼结构损耗因子修正公式[J], 振动与冲击, 2014, 33(13): 204-209.
Wu Qing-qing, Wang Min-qing. Modified loss factor formulas for UD structures with consideration of base layer's damping[J], Journal of Vibration and Shock, 2014, 33(13): 204-209.
[8] 张安付, 闫孝伟, 盛美萍，等. 自由阻尼结构损耗参数的换算方法[J], 振动、测试与诊断, 2015, 35(3): 572-577.
Zhang An-fu, Yan Xiao-wei, Sheng Mei-ping, et al. Conversion method for loss factor of unconstrained damping structures[J], Journal of Vibration, Measurement & Diagnosis, 2015, 35(3): 572-577.
[9] 郑玲, 祝乔飞. 约束阻尼板结构振动声辐射优化[J], 振动与冲击. 2014, 33(5): 91-96, 108.
Zheng Ling, Zhu Qiao-fei. Topology optimization for acoustic radiation of a constraint damping plate[J]. Journal of Vibration and Shock, 2014, 33(5): 91-96, 108.