基于三维弹性理论的碳纤维板中Lamb波建模  

Modeling of Lamb Waves in Carbon Fiber and Composite Material Plates Based on 3-D Elastic Theory

作　　者：张恒萍[1] 袁慎芳[1] 

机构地区：[1]南京航空航天大学智能材料与结构航空科技重点实验室,江苏南京210016

出　　处：《材料科学与工程学报》2006年第3期399-402,共4页Journal of Materials Science and Engineering

基　　金：国家自然科学基金资助项目(50420120133);国家自然科学基金重大国际(地区)合作研究资助项目(50420120133);航空基金资助项目(01G52075)

摘　　要：基于主动Lamb波的结构健康监测是目前复合材料结构损伤监测技术研究的热点之一,了解Lamb波的传播特性对进行可靠的损伤监测非常重要。本文结合经典三维弹性理论与Lamb波的运动位移方程,对碳纤维复合材料板中传播的Lamb波传播特性进行了建模研究,在此基础上推导了碳纤维板的相速度频散曲线,并讨论了Lamb波传播方向与坐标轴之间的夹角及碳纤维铺层方向对频散曲线的影响,建模结果证明了这种建模方法的正确性。Active structural health monitoring based on diagnostic Lamb wave is a hot research area in recent years. To have a detail understanding of the lamb wave properties propagating in the composite is of primary importance for developing good damage diagnostic method. In this paper, the dispersive curves of the Lamb waves propagating in carbon fiber composite material plate were modeled using 3-D elastic theory and Lamb wave displacement equations. Based on this model, the phase velocity dispersive curves of the Lamb waves in onelayer carbon fiber plate were deducted. The influence of the propagating angles of the Lamb waves and the angles of the carbon fiber to the dispersive curves were also researched and discussed in detail.

关 键 词：LAMB波 建模 三维弹性理论 

分 类 号：O343.8[理学—固体力学] TB533[理学—力学]