有粒滞液层负载时薄板中类Lamb波的传播

基金项目:

国家自然科学基金资助项目.

详细信息

The propagation of Lamb waves in a plate with one viscous liquid layer loading

Institute of Acoustics & State Key Lab of Modern Acoustics, Nanjing Univerity Nanjing 210093

摘要: 本文从弹性波传播理论出发,结合边界条件,导出了薄板一面有粘滞液层负载时板中类Lamb波传播的色散方程;研究了液层粘滞引起的类Lamb波衰减.数值计算表明,板和液层的驻波共振振动引起极中类Lamb波对称和反对称模式的模式转换以及衰减系数的变化。文中对k_td ≤ 1时,A₀模式类Lamb波的微质量和粘滞传感特性也作了讨论。

Abstract: Based on elastic wave propagation theory a dispersion equation for Lamb waves in a plate with one viscous liquid layer loading is derived.Viscosity-induced attenuation of the wave is discussed.Numerical calculation shows that resonance vibration of the liquid layer and the plate may cause the changing of wave modes and the variation of attenuation due to asymmetrical liquid layer loading.When k_td ≤ 1,mass and viscosity sensing application of A₀ mode Lamb wave is also discussed.