周期开孔约束阻尼板的有限元建模与阻尼特性分析

Finite Element Modeling and Damping Characteristics Analysis of Constrained Layer Damping Plates with Periodically Perforated Damping Material

基于均匀化理论提出了一种周期开孔约束阻尼板的有限元建模方法,以提高动力学分析的计算效率。采用8节点实体单元建立粘弹性阻尼胞元的有限元模型,基于均匀化理论对粘弹性阻尼胞元的等效特性进行分析,得到均匀化本构矩阵。通过均匀化分析,周期开孔的粘弹性阻尼层可视为横观各向同性均匀材料,基于此建立周期开孔约束阻尼板的有限元模型。通过算例分析,验证了本文提出的建模方法的正确性。分析了粘弹性阻尼层的剪切模量、粘弹性阻尼层的厚度和开孔率对结构阻尼特性的影响,为周期开孔约束阻尼板在工程中的应用提供了指导。

Based on the homogenization theory,a finite element modeling method of constrained layer damping(CLD)plates with periodically perforated damping material is proposed to improve the computational efficiency of dynamic analysis.The finite element model of viscoelastic damping cell was established by using eight-node hexahedron element.The homogenized material properties of viscoelastic damping cells are analyzed based on the homogenization theory and the equivalent constitutive matrix of viscoelastic damping cell can be obtained.The periodically perforated viscoelastic layer is regarded as transversely isotropic material through homogenization and the finite element model of CLD plates with periodically perforated damping material is established.The numerical example demonstrates the effectiveness of the proposed approach.The influence of shear modulus and thickness of viscoelastic damping layer and porosity on damping characteristics of structure is analyzed,which provides guidance for the application of CLD plates with periodically perforated damping material.