等截面一维声子晶体角梁结构振动特性  

Vibration Characteristics of One-dimensional Phononic Crystal Angle Beam Structure with Constant Cross-section

作　　者：张颖[1,2] 史冬岩 何东泽[2] ZHANG Ying;SHI Dong-yan;HE Dong-ze(College of Engineering,Heilongjiang Bayi Agricultural University,Daqing 163319,China;College of Mechanical and Engineering,Harbin Engineering University,Harbin 150001,China)

机构地区：[1]黑龙江八一农垦大学工程学院,大庆163319 [2]哈尔滨工程大学机电工程学院,哈尔滨150001

出　　处：《科学技术与工程》2021年第17期7084-7091,共8页Science Technology and Engineering

摘　　要：为了进一步探索声子晶体结构独特的振动带隙特性,挖掘其潜在的工程应用价值,基于回传射线矩阵计算法,对等截面一维声子晶体角梁结构对于轴向波的振动特性进行研究。完成了结构模型建立、坐标变换、描述单元相位关系及节点散射关系,得出传播矩阵,并且与有限元法计算结果进行对比,证明其理论分析以及数值计算的正确性。研究结果表明,回传射线矩阵法应用于声子晶体振动特性计算的可靠性强。通过相应的频率响应函数曲线之间的差异,可得各参数对声子晶体角梁振动特性的影响及相应规律,为工程减震相关研究提供参考。In order to further explore the unique vibration band gap characteristics of phononic crystal structure and tap its potential engineering application value,based on the method of reverberation-ray matrix,the axial wave vibration characteristics of one-dimensional phononic crystal angulated beam structure with constant section were studied.The establishment of structural model,coordinate transformation,description of element phase relationship and node scattering relationship were completed,and the propagation matrix was obtained.Compared with the calculation results of finite element method,the correctness of theoretical analysis and numerical calculation was proved.The results show that the reliability of the method is strong.Through the difference between the corresponding frequency response function curves,the influence of each parameter on the vibration characteristics of the angle beam of the phononic crystal and the corresponding laws can be obtained,which can provide reference for the related research of engineering damping.

关 键 词：声子晶体 回传射线矩阵法 等截面 角梁 振动特性 

分 类 号：TH113.1[机械工程—机械设计及理论]