含界面脱粘压电复合材料层合板的非线性动力稳定性分析  

Nonlinear dynamic stability analysis for piezoelectric composite laminates with debonded interfaces

作　　者：冯世宁[1] 陈浩然[1] 叶林[2] 

机构地区：[1]大连理工大学工业装备结构分析国家重点实验室,大连116023 [2]悉尼大学航天、机械和微电子工程学院,澳大利亚NSW2006

出　　处：《计算力学学报》2009年第2期193-198,共6页Chinese Journal of Computational Mechanics

基　　金：国家自然科学基金(10672017);重大基础研究计划(973)项目(2006CB601205)资助项目

摘　　要：基于Reddy提出的板高阶剪切变形简化理论,研究了含界面脱粘损伤压电复合材料层合板非线性动力稳定性问题。首先,建立了分层模型,推导了考虑几何非线性、阻尼效应、纵向惯性力和力-电耦合效应的Mathieu方程,并且给出了该方程解的解析表达式。其次,通过典型算例讨论了界面脱粘损伤以及反馈控制力对该层合板动力不稳定区域、纵向、横向共振频率和最大"牵引"深度的影响。由典型算例讨论可知:随着层合板界面脱粘损伤的扩大,其动力稳定性能逐渐减弱,其中在损伤较小时,反馈控制力对智能结构几乎没有影响;而在损伤比较大的情况下,反馈控制力将能有效地减少动力不稳定区域重合面积。Nonlinear instability associated with faces under dynamic loads has been studied. On piezoelectric composite laminates with debonded interbasis of Reddy＇s simple higher order shear deformation theory, a dynamic instability equation, called Mathieu equation, was deduced, which as considered nonlinear elastic, damping, axial inertia force and electromechanical interaction effects and the corresponding analytical solution was given. From some typical examples, it is clear that the effects of interfacial dehonding length and feed-back control on the instability regions, axial and transverse resonance frequency and the maximum deepness of ＂traction＂ were discussed. Some typical examples indicate that the dynamic instability behavior of the laminates gradually decreases with increasing interfacial debonding length; However, the effects of feed-back control on the case of laminates with short interfacial debonding damage is rather weakness, while for the case of laminates with long length interfacial debonding damage, with increasing debonding length, feed-back control on the laminates could decreases the interaction regions between axial and transverse parameter vibrations .

关 键 词：压电层合板 界面脱粘损伤 高阶剪切变形理论 动力稳定性 参数振动 牵引 

分 类 号：TB330.1[一般工业技术—材料科学与工程]