摘要
声子晶体因其独特的阻挡波传播的特性而被应用于工程减振降噪结构设计中。为了最大程度挖掘结构减振降噪特性,声子晶体拓扑优化逐渐成为了研究重点。基于显式结构拓扑优化方法-可移动形变组件法,建立声子晶体拓扑的数值表达,其中设计变量为可自由移动伸缩变换的矩形构件的几何位置参数;以结构带隙特性为优化目标,基于灵敏度分析策略,结合移动渐近线法,建立系统声子晶体元胞拓扑优化模型。针对面内模式和面外模式,分别获得了具有373.3Hz~807.1Hz和392.74Hz~1643.5Hz带隙声子晶体拓扑结构。为了验证可移动形变组件法的优化有效性,基于有限元胞建立传输特性损耗测试模型。从传输特性谱中可以看出,在带隙对应频段内,出现了明显的下降区间,即表明声子晶体对该频段的弹性波具有良好的衰减能力,验证了优化方法的可靠性和有效性。
Phononic crystals are used in the design of vibration and noise reduction structures due to their unique characteristics of blocking wave propagation.In order to maximize the unique characteristics of structures,topology optimization of phononic crystal has gradually become a research focus.Based on the explicit structural topology optimization method-moving morphable component approach,the numerical expression of the phononic crystal topology is established,where each value is the geometric position parameter of the rectangular component that can be freely moved and expanded.The objective function is the relative band gap width.Based on the sensitivity analysis strategy,the system phononic crystal topology optimization model is developed by combining the moving asymptote method.For in-plane mode and out-of-plane mode,phononic crystal structures with 373.3Hz~807.1Hz and 392.74Hz~1643.5Hz are obtained respectively.In order to verify the optimization effectiveness of the moving morphable component approach,transmission characteristic loss models are established based on two obtained structures.It can be seen from the transmission characteristic spectrum that there exist significant decrease in the corresponding frequency of the band gap,which indicates that the phononic crystal has a good attenuation ability for elastic waves in this frequency,and verifies the reliability and effectiveness of the optimization method.
作者
张亚茹
郭辉
孙玲莉
汪熙婷
程乾
ZHANG Yaru;GUO Hui;SUN Lingli;WANG Xiting;CHENG Qian(School of Mechanical and Automotive Engineering,Shanghai University of Engineering Science,Shanghai 201620)
出处
《计算机与数字工程》
2023年第2期491-494,共4页
Computer & Digital Engineering
基金
国家自然科学基金项目(编号:51675324)
新能源汽车振动噪声测试与控制技术服务平台(编号:18DZ2295900)资助。
关键词
拓扑优化
可移动形变组件法
声子晶体
带隙特性
topology optimization
moving morphable component approach
phononic crystal
band gap characteristic
