基础激励下黏弹性阻尼复合薄板的振动响应有限元分析  

Finite Element Analysis for Vibration Response of Viscoelastic Composite Plate under Base Excitation

作　　者：邝子奇 石平义 吴峥强[1] 杨萍 伍根牛 Kuang Ziqi;Shi Pingyi;Wu Zhengqiang;Yang Ping;Wu Genniu(School of Mechanical and Electrical Technology,Guangdong Industry Polytechnic,Guangzhou 510300,China;AECC South industry Co.,LTD.,Zhuzhou 412002,China)

机构地区：[1]广东轻工职业技术学院机电技术学院,广东广州510300 [2]中国航发南方工业有限公司,湖南株洲412002

出　　处：《宁夏大学学报（自然科学版）》2022年第3期261-265,272,共6页Journal of Ningxia University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(51775092);广州市产学研协同创新重大专项。

摘　　要：为了更好地研究黏弹性阻尼的减振特性,亟需建立黏弹性阻尼复合结构的动力学分析模型并进行振动响应分析.本文以基础激励作用下的悬臂板为例,研究采用有限元获得黏弹性阻尼复合板振动响应的方法.首先,建立了基础激励作用下黏弹性阻尼复合板的有限元方程,推导了复合结构刚度矩阵、质量矩阵的求解公式;然后,描述了黏弹性复合结构振动响应的求解方法;最后,以一个基体材料为Ti-6Al-4V,阻尼材料为ZN-1的复合悬臂板为例,进行了实例研究,分别用本文方法和ANSYS软件求解了黏弹性阻尼复合板的频域响应.结果表明,采用两种方式获得的频域响应的结果基本一致,验证了所开发的黏弹性复合板有限元分析程序的正确性.上述研究为基于黏弹性材料频率依赖性,分析复合结构的振动响应特性提供了参考.In order to study the vibration reduction of viscoelastic damping,it is necessary to establish the dynamic analysis model of viscoelastic composite structures and analyze the vibration responses.In this paper,the cantilever thin plate under base excitation is taken as an example,and the finite element method is adopted to study the method of solving the frequency responses of viscoelastic composite plate.Firstly,the finite element equation of viscoelastic composite plate under base excitation is established,and the solution formulas of stiffness matrix and mass matrix of composite structures are deduced.Then,the method of obtaining the vibration responses of viscoelastic composite structures is depicted specifically.Finally,the composite cantilever plate,including a Ti-6 Al-4 V substrate and a ZN-1 damping,is chosen to verify the proposed method.The frequency responses of viscoelastic composite plate are solved by the developed method and the commercial ANSYS software respectively.The results show that the two analysis results are almost same,and then the correctness of developed FEM program is proved.This study can be used as reference for the analysis of vibration responses of viscoelastic composite structures considering the frequency-dependent characteristic.

关 键 词：基础激励 黏弹性阻尼 复合板 振动响应 有限元分析 

分 类 号：O328[理学—一般力学与力学基础] TB535[理学—力学]