摘要
为了满足夹层板结构轻质及隔声性能优化需求,提出了一种基于线性材料插值模型的三场浮动投影动力学拓扑优化方法,进行夹层板结构声振耦合拓扑优化设计。首先,结合混合位移/声压(u/p)有限元格式和线性材料插值模型,解决多场耦合界面依赖性问题和低密度区域局部模态问题;其次,面向三维轻质夹层板结构声振耦合特性,建立以隔声性能最大化为目标,轻量化体积分数为约束的优化范式;第三,依托阻抗管隔声性能试验场景,对三维夹层板结构有限元数值模型进行拓扑优化设计,并结合阻抗管试验验证方法的准确性和有效性;最后,将所得优化构型与常见夹层板构型的隔声性能进行对比。研究结果表明:采用所提方法可获得性能优越的新颖拓扑构型,1100~1300 Hz优化目标频段对应的优化目标隔声性能即传声损失总值从197.62 dB提升到205.09 dB,且数值仿真结果与试验结果吻合良好。在结构同等质量下,优化目标频段拓扑构型的隔声量性能优于常见开孔/闭孔矩形蜂窝状、蜘蛛网状夹层板结构的隔声量性能。
To meet the optimization requirements of lightweight and sound insulation performance of sandwich structures,a three-field floating projection dynamic topology optimization method was proposed based on the linear material interpolation model to optimize the acoustic-mechanical coupling topology of insulation sandwich structures.Firstly,the mixed displacement/sound pressure(u/p)finite element scheme and the linear material interpolation model were combined to solve the interface dependence problem of multi-field coupling and the local modal problem in low density regions.Secondly,based on the acoustic-mechanical coupling characteristics of 3D lightweight sandwich structures,an optimization formulation was established to maximize sound insulation performance and the lightweight volume fraction as the constraint.Thirdly,based on the sound insulation performance test scene of the impedance tube,the topology optimization design of the finite element numerical model of a 3D sandwich structure was carried out,and the accuracy and effectiveness of the method were verified by the impedance tube test.Finally,the sound insulation performance of the optimized configuration was compared with that of the common sandwich configuration.The results show that the proposed method can obtain superior performance in novel topology configurations.In the optimization target frequency range of 1100 Hz to 1300 Hz,the total transmission loss improves from 197.62 dB to 205.09 dB,which corresponds to the optimization target sound insulation performance.The numerical simulation and experimental results are in good agreement.Maintaining the equal structural mass,the optimized topological configuration exhibits superior sound insulation performance in the target frequency band compared to sandwich structures commonly used in engineering,including open/closed rectangular honeycomb and spider web-like sandwich structures.
作者
徐娇
胡捷
姚松
李家春
陶猛
曹文康
XU Jiao;HU Jie;YAO Song;LI Jiachun;TAO Meng;CAO Wenkang(School of Mechanical Engineering,Guizhou University,Guiyang 550025,China;Key Laboratory of Modern Manufacturing Technology,Ministry of Education,Guizhou University,Guiyang 550025,China;Key Laboratory of Traffic Safety on the Track of Ministry of Education,School of Traffic&Transportation Engineering,Central South University,Changsha 410075,China)
出处
《中南大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2024年第6期2273-2285,共13页
Journal of Central South University:Science and Technology
基金
国家自然科学基金资助项目(52305249,52305099)
贵州省科技创新基地建设项目(黔科合中引地[2023]010)
贵州大学引进人才科研项目([2021]66)。
关键词
轻质夹层板结构
声振耦合拓扑优化
浮动投影函数
隔声性能
阻抗管隔声试验
lightweight sandwich structure
topology optimization of acoustic-mechanical interaction
floating projection function
sound insulation performance
impedance tube test
作者简介
通信作者:胡捷,博士,副教授,从事结构多学科拓扑优化理论、方法与应用研究,E-mail:jiehu@gzu.edu.cn。
