基于层合理论的被动约束层阻尼板有限元建模及动力学分析  

Finite element modeling and dynamic analysis of passive constrained layer damping plate based on laminated theory

作　　者：黄志诚 王兴国 吴南星 褚福磊[2] 罗经 HUANG Zhicheni;WANG Xingguo;WU Nanxing;CHU Fulei;LUO Jing(College of Mechatronic Engineering,Jingdezhen Ceramic University,Jingdezhen 333001,China;Department of Mechanical Engineering,Tsinghua University,Beijing 100084,China;Beijing Research Institute of Automation for Machinery Industry Co.,Ltd.,Beijing 100120,China)

机构地区：[1]景德镇陶瓷大学机电学院,江西景德镇333001 [2]清华大学机械工程系,北京100084 [3]北京机械工业自动化研究所有限公司,北京100120

出　　处：《振动与冲击》2020年第23期148-153,201,共7页Journal of Vibration and Shock

基　　金：国家自然科学基金(11862007,51565020);江西省青年科学基金重点项目(20171ACB21047);江西省教育厅重点科技项目(GJJ160864);景德镇市科技项目(20182GYZD011-02)。

摘　　要：基于层合理论建立了被动约束阻尼板的有限元动力学模型。构造了一种4节点,每个节点5自由度三层板单元用于模拟基板、黏弹性阻尼层和约束层的相互作用。黏弹性材料频率依赖特性用Biot模型描述。借助辅助坐标将其引入到被动约束阻尼板的有限元方程中,并将其转化成常规二阶微分方程形式以简化求解过程。通过算例和实验结果作比较验证了该方法的有效性。结果表明,与传统的有限元建模理论比较,采用层合理论,减少了结构自由度,并且具有良好的计算精度。The finite element dynamic model of a passive constrained layer damping(PCLD)plate was established based on the laminated theory.A 3-layer plate element with four-node and 5-DOF per node was constructed to simulate interaction among base plate,viscoelastic damping layer and constraint layer.The frequency-dependent properties of viscoelastic material were described with Biot model,and they were introduced into the finite element dynamic equation of a PCLD plate by means of auxiliary coordinates,and then the latter was converted into the ordinary second-order differential equation form to simplify the solving process.The effectiveness of the proposed method was verified with the comparison between numerical examples and test results.Results showed that compared with the traditional finite element modeling theory,using the laminated theory can reduce the structure’s DOF and have good calculation accuracy.

关 键 词：被动约束层阻尼板 有限元法 黏弹性材料 层合理论 

分 类 号：TB53[理学—物理] O32[理学—声学]