弹性支撑条件下一维声子晶体结构振动特性研究  

Vibration characteristics of one-dimensional phononic crystals with elastic supporting

作　　者：何东泽 史冬岩[1] 王青山 马春龙 HE Dongze;SHI Dongyan;WANG Qingshan;MA Chunlong(College of Mechanical and Electrical Engineering,Harbin Engineering University,Harbin 150001,China;College of Mechanical and Electrical Engineering,Central South University,Changsha 410083,China;State Key Laboratory of High Performance Complex Manufacturing,Central South University,Changsha 410083,China;Department of Automotive Engineering,Harbin Vocational&Technical College,Harbin 150001,China)

机构地区：[1]哈尔滨工程大学机电工程学院,哈尔滨150001 [2]中南大学机电工程学院,长沙410083 [3]中南大学高性能复杂制造国家重点实验室,长沙410083 [4]哈尔滨职业技术学院汽车学院,哈尔滨150001

出　　处：《振动与冲击》2022年第4期185-191,共7页Journal of Vibration and Shock

基　　金：国家自然科学基金(51705537)。

摘　　要：为了开展弹性支撑环境下一维声子晶体结构弯曲波振动特性的研究,采用回传射线矩阵法对其频率响应函数曲线进行计算,并开展相应的参数化研究。通过与有限元法比较可以发现,二者的吻合程度较好,证明该计算方法的正确性。为了进一步分析几何参数与多种条件下弹性刚度对于弹性支撑下一维声子晶体振动特性的影响规律,对不同情况下带隙的起始频率、截止频率以及带隙宽度的变化情况进行总结,得到相应的影响规律。结果表明,几何参数与多种条件下弹性刚度对于弹性支撑下一维声子晶体结构的振动特性影响情况存在不同的情况,有着各自的影响规律。In this paper, the reverberation-ray matrix(MRRM) was adopted to investigate the vibration characteristics of one dimensional phononic crystals with elastic supporting. The frequency response curve was obtained. To verify the calculation correctness of presented method, the solutions were compared with the results by the finite element method(FEM). It can be found that the results by MRRM and FEM are consistent. Furthermore, the effect of geometric parameters and elastic stiffness under various conditions on the vibration characteristics for one dimensional phononic crystals with elastic supporting was investigated. Through the changing rule of the starting frequency, ending frequency and width of band gap, some conclusions were obtained. Numerical examples show that the geometric parameters and elastic stiffness under various conditions have their own influence on the vibration characteristics of one dimensional phononic crystals with elastic supporting.

关 键 词：声子晶体 弹性支撑 回传射线矩阵法 振动特性 

分 类 号：TH212[机械工程—机械制造及自动化] TH213.3