多孔材料夹层结构声辐射特性的两尺度拓扑优化设计

doi:10.7527/S1000-6893.2015.0140

固体力学与飞行器总体设计

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多孔材料夹层结构声辐射特性的两尺度拓扑优化设计

李汪颖, 杨雄伟, 李跃明

西安交通大学航天航空学院机械结构强度与振动国家重点实验室, 西安 710049

收稿日期:2015-04-13 修回日期:2015-05-19 出版日期:2016-04-15 发布日期:2015-06-28
通讯作者: 李跃明,Tel.:029-82668340 E-mail:liyueming@mail.xjtu.edu.cn E-mail:liyueming@mail.xjtu.edu.cn
作者简介:李汪颖,男,硕士研究生。主要研究方向:结构声振优化。Tel:029-82668340 E-mail:lwy.sf@163.com;杨雄伟,男,博士。主要研究方向:结构拓扑优化及降阶分析。Tel:029-82668340 E-mail:xiongwei@stu.xjtu.edu.cn;李跃明,男,博士,教授,博士生导师。主要研究方向:结构多场耦合动力学响应分析及优化设计。Tel:029-82668340 E-mail:liyueming@mail.xjtu.edu.cn
基金资助:
国家自然科学基金(11472206,11321062)

Two-scale topology optimization design of sandwich structures of a porous core with respect to sound radiation

LI Wangying, YANG Xiongwei, LI Yueming

State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace, Xi'an Jiaotong University, Xi'an 710049, China

Received:2015-04-13 Revised:2015-05-19 Online:2016-04-15 Published:2015-06-28
Supported by:
National Natural Science Foundation of China (11472206,11321062)

摘要/Abstract

摘要：

基于均匀化计算理论结合结构构型设计和材料构型设计,建立以声辐射功率为目标的两尺度材料/结构协同优化模型,针对夹层结构声学设计问题,开展了声辐射特性拓扑优化研究。分别给出了声辐射功率对宏观和微观设计变量的灵敏度,结合移动渐近线法(MMA)实现了材料/结构两尺度设计。结果表明,声辐射功率两尺度优化改变了夹层结构各阶主振型的形状和顺序,同时也改变了被激发的振型。此外,算例研究了激励频率和约束对优化结果的影响以及声辐射功率目标优化的特殊现象。

关键词: 多孔材料, 夹层结构, 两尺度, 拓扑优化, 声辐射

Abstract:

A concurrent optimization model with respect to sound power is proposed to find optimal configurations of structure and material based on the homogenization method. A two-scale topology optimization study for minimum sound radiation power is presented to deal with the problem of structural-acoustic optimization of sandwich structures. The sensitivities of radiated acoustic power with respect to design variables for macrostructure and material microstructure are obtained and an optimization of sandwich structures of a porous core is realized by method of moving asympopte (MMA) optimization scheme. Numerical results validate the optimization model and demonstrate that optimization not only change principal mode shapes and natural frequencies' sequence of initial structure but also change the excited mode of vibrations. In addition, the influences of excitation frequency and volume fraction on the optimal configurations are investigated and a particular phenomenon is discussed.

Key words: porous material, sandwich structures, two-scale, topology optimization, sound radiation

中图分类号:

V214.8
O327

李汪颖, 杨雄伟, 李跃明. 多孔材料夹层结构声辐射特性的两尺度拓扑优化设计[J]. 航空学报, 2016, 37(4): 1196-1206.

LI Wangying, YANG Xiongwei, LI Yueming. Two-scale topology optimization design of sandwich structures of a porous core with respect to sound radiation[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2016, 37(4): 1196-1206.

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E-mail：hkxb@buaa.edu.cn

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多孔材料夹层结构声辐射特性的两尺度拓扑优化设计

Two-scale topology optimization design of sandwich structures of a porous core with respect to sound radiation

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