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冯世宁,陈浩然,叶林.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[J].计算力学学报,2009,26(2):193~198

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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

投稿时间：2007-03-14

DOI：10.7511/jslx20092008

中文关键词: 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

英文关键词:piezoelectric composite laminates interfacial debonding damage high order shear deformation theory dynamic stability parametric vibration traction

基金项目: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.

作者	单位
冯世宁	大连理工大学工业装备结构分析国家重点实验室,大连 116023
陈浩然	大连理工大学工业装备结构分析国家重点实验室,大连 116023
叶林	悉尼大学航天、机械和微电子工程学院,澳大利亚 NSW2006

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中文摘要:

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。

英文摘要:

Nonlinear instability associated with piezoelectric composite laminates with debonded interfaces under dynamic loads has been studied. On basis 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 debonding 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.

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