粘弹性夹层圆板在基础激励下的动态响应  

Dynamic Response of Viscoelastic Sandwich Circular Plate under Base Excitation

作　　者：廖明建[1,2] 李映辉[2] 尹益辉[1] 

机构地区：[1]中国工程物理研究院总体工程研究所,绵阳621900 [2]西南交通大学力学与工程学院,成都610031

出　　处：《重庆理工大学学报（自然科学）》2013年第9期41-44,79,共5页Journal of Chongqing University of Technology：Natural Science

基　　金：中国工程物理研究院科学技术发展基金重点资助项目(2010A0203007);国家自然科学基金资助项目(11072204);中央高校业务费专项资助项目(SWJTU11ZT15)

摘　　要：研究了粘弹性夹层圆板在基础激励下的动态响应问题。基于经典弹性薄板理论和Kelvin-Voigt粘弹性本构方程,建立了基础激励下粘弹性夹层圆板的控制方程。应用模态叠加法计算了固支粘弹性夹层圆板在基础激励下的动挠度,分析了基础激励频率和夹层圆板夹心层厚度参数对系统响应的影响。结果表明:粘弹性夹层圆板挠度的最大值都在板中心,距中心越远,挠度越小;粘弹性夹层圆板的一阶固有频率随着夹心层厚度的增大呈衰减趋势。The dynamic response of viscoelastic sandwich circular plate under base excitation is stud- ied. Based on the basic assumptions of elastic thin plates and the Kelvin-Viogt constitutive equation, the governing equation of a viscoelastic circular plate under base excitation is established. The dynam- ic deflection is calculated by employing the modal superposition method. The influence of exciting fre- quency and core ratio on dynamic response is discussed. Conclusions are as follows： The maximum deflection of a viscoelastic sandwich plate is always at the center, and the deflection decreases with the increase of radius. The first natural frequency of a viscoelastic sandwich plate decreases with the increase of core ratio.

关 键 词：粘弹性夹层圆板 基础激励 动态响应 模态叠加法 

分 类 号：O327[理学—一般力学与力学基础]