一维六方准晶纳米板中Lamb波特性研究  

INVESTIGATION ON LAMB WAVE CHARACTERISTICS IN ONEDIMENSIONAL HEXAGONAL QUASI-CRYSTAL NANO PLATES

作　　者：王鑫鑫 禹建功[1] 张博 刘灿灿 王现辉[1] WANG Xin-xin;YU Jian-gong;ZHANG Bo;LIU Can-can;WANG Xian-hui(School of Mechanical and Power Engineering,He’nan Polytechnic University,Jiaozuo,He’nan 454003,China)

机构地区：[1]河南理工大学机械与动力工程学院,河南焦作454003

出　　处：《工程力学》2023年第10期213-221,共9页Engineering Mechanics

基　　金：国家自然科学基金项目(12102131,51975189);河南理工大学博士基金项目(B2021-32);中国博士后科学基金项目(2021M701102)。

摘　　要：准晶纳米结构在工程中经常承受以弹性波为代表的动态工作载荷,为深入研究其动态失效机制,研究了一维六方准晶纳米板中Lamb波的波动特性。基于修正的偶应力理论,推导出Bak模型下Lamb波的波动控制方程,使用勒让德正交多项式方法(LOPM)求解该动力学方程,计算得到其频散曲线和位移分布。研究了声子场和相位子场尺寸效应、声-相耦合效应对波动特性的影响。结果表明:尺寸效应使声子模态和相位子模态相速度增大;声-相耦合效应显著地增大了声子模态中的相位子位移振幅和相位子模态中的声子位移振幅。研究结果为准晶纳米结构的设计和无损检测奠定了一定的理论基础。Quasi-crystal nano structures are often subjected to dynamic loads represented by elastic waves in engineering.In order to study their dynamic failure mechanism,Lamb waves in one-dimensional hexagonal quasicrystal nano plates are investigated.Based on the Bak model,dynamic equations of Lamb waves are derived in the context of the modified couple stress theory.The Legendre orthogonal polynomial method is employed to solve the dynamic equations,and dispersion curves and displacement distributions are calculated.The size effect in phonon and phason fields,and the phonon-phason coupling effect on the wave characteristics are studied.The results show that the size effect increases the phase velocities of phonon modes and phason modes;the phononphason coupling effect significantly increases the amplitudes of phason displacements in the phonon modes and the amplitudes of phonon displacements in the phason modes.The results lay a theoretical foundation for the design and nondestructive testing of quasi-crystal nano structures.

关 键 词：准晶 LAMB波 尺寸效应 声-相耦合效应 位移分布 

分 类 号：O347.4[理学—固体力学]