Page 89 - 《应用声学》2022年第5期
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第 41 卷 第 5 期                                                                       Vol. 41, No. 5
             2022 年 9 月                          Journal of Applied Acoustics                 September, 2022

             ⋄ 研究报告 ⋄



                    双锥型五模材料低频声波调控及参数设计                                                             ∗



                                          潘宇雄      1,2  徐峰祥     1†   牛小强      1,2


                                    (1 武汉理工大学现代汽车零部件技术湖北省重点实验室              武汉   430070)
                                     (2 武汉理工大学汽车零部件技术湖北省协同创新中心             武汉   430070)
                摘要：为有效控制噪声并进行声波调控，构造了双锥区域为 TC4 钛合金、节点区域为硫化橡胶的六边形排列
                双锥五模材料，进行能带分析发现其具有较窄的低频声子带隙和单模传输区域。为提高五模材料的低频声波
                调控性能，设计了正方形和三角形排列构型，结果表明三角形排列的双锥五模材料带隙的频率更低，带宽更宽，
                且具有单模传输性能和较好的五模特性。此外分别探究了五模材料构型的材料参数 (包括双锥区和节点区的
                密度、泊松比和杨氏模量) 以及几何参数 (包括双锥宽和节点半径的变化) 对带隙及单模传输区域的影响，得到
                带隙和单模传输区的变化规律，选择密度较轻的填充材料、较小的双锥宽和较大的节点半径不仅可以提高低
                频声波调控性能，而且可以降低结构质量，提高结构的稳定性。该文结果对用于低频声波传播调控的五模材料
                的构型和参数的设计具有一定的借鉴意义。
                关键词：五模材料；声子带隙；单模传输；声波调控
                中图法分类号: TB33           文献标识码: A          文章编号: 1000-310X(2022)05-0765-11
                DOI: 10.11684/j.issn.1000-310X.2022.05.011



                         Low-frequency sound wave control and parameters design of
                                           biconical pentamode materials

                                    PAN Yuxiong  1,2  XU Fengxiang 1  NIU Xiaoqiang 1,2

                  (1  Hubei Key Laboratory of Advanced Technology of Automotive Components, Wuhan University of Technology,
                                                    Wuhan 430070, China)
                 (2  Hubei Collaborative Innovation Center for Automotive Components Technology, Wuhan University of Technology,
                                                    Wuhan 430070, China)

                 Abstract: In order to control noise and realize sound wave control, based on the common hexagonal configu-
                 ration, a kind of local resonant biconical pentamode material is designed whose biconical area is filled with TC4
                 titanium alloy and node area is filled with vulcanized rubber. Band analysis shows that it has narrow phonon
                 band gap and single mode transmission region at low frequency. In order to improve the low frequency acoustic
                 modulation performance of pentamode materials, the square and triangular configurations are designed. The
                 band analysis results show that the biconical pentamode material with triangular configuration has lower
                 band gap frequency, wider bandwidth, single-mode transmission and good pentamode property. The effects of
                 material parameters including density, Poisson’s ratio, Young’s modulus and structural geometric parameters
                 including biconical width and node radius on the band gap and single-mode transmission region are studied
                 respectively. Through obtaining the change law of the band gap and single-mode transmission region, it is
                 found that choosing the filling material with lighter density, smaller bicone width and larger node radius can not


             2021-08-21 收稿; 2021-11-30 定稿
             国家自然科学基金项目 (51975438)
             ∗
             作者简介: 潘宇雄 (1998– ), 男, 湖北荆州人, 硕士研究生, 研究方向: 声学超材料。
              通信作者 E-mail: xufx@whut.edu.cn
             †
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