摘要
基于一阶剪切变形理论和哈密顿原理建立了三层黏弹性夹芯梁结构的有限元模型并对其振动和阻尼特性进行了研究。建模时认为粘弹材料层不可压缩,振动能量是依靠黏弹性层的剪切变形来耗散的。为验证本模型的正确性,将其与解析解作了对比。同时,为了证明本方法的优越性,将其与常用的"实特征模态"、"近似复特征模态"、"钻石法"和"近似法"四种数值方法做了比较。结果表明本方法的精度在这几种数值方法中是最好的。最后,讨论了黏弹性夹芯梁结构参数变化对系统固有频率和损耗因子的影响,得到了一些有工程实际意义的结论。
The finite element model of a three-layer viscoelastic sandwich beam was developed based on the first- order shear deformation theory and the Hamilton principle. The vibration and damping characteristics of the viscoelastic sandwich beam were studied. The viscoelastic core of the sandwich beam was considered incompressible, and the vibration energy was assumed to dissipate only by the shear deformation of the viscoelastic core. The accuracy and efficiency of the finite element model presented were verified by comparing its results with the analytical solutions. The numerical solutions of the presented method, the real eigenmodes （RM） method, the approached complex eigenmodes （ACM） method, the diamond approach （DA） and the asymptotic numerical method （ANM） were compared with the analytical solution. Tile results show that the presented method has better accuracy and efficiency than those commonly used numerical methods. Finally, the effects of the parameters of viscoelastic sandwich beam on its natural frequencies and loss factors were discussed. Some meaningful conclusions were provided.
出处
《振动与冲击》
EI
CSCD
北大核心
2015年第7期183-191,共9页
Journal of Vibration and Shock
基金
国家自然科学基金(11272170
11102096)
关键词
振动和阻尼特性
粘弹夹芯梁
剪切耗能
有限元
vibration and damping characteristics
viscoelastic sandwich beam
shear dissipating energy
finiteel ement method
