Vibration and damping characteristics analysis of viscoelastic sandwich beams based on the shear dissipating energy assumption
The finite element model for the three-layer viscoelastic sandwich beam is developed based on the first-order shear deformation theory and the Hamilton principle. The vibration and damping characteristics of the viscoelastic sandwich beam are studied. The viscoelastic core of the sandwich beam is considered incompressible, and the vibration energy is dissipated only by the shear deformation of the viscoelastic core. The accuracy and efficiency of the finite element model presented in this paper are verified by comparing with the analytical solutions. The numerical solutions of the presented method, the real eigenmodes (RM) method, the approached complex eigenmodes (ACM) method, the diamante approach (DA) and the asymptotic numerical method (ANM) are compared with the analytical solution. The results show that the presented method has better accuracy and efficiency than those commonly used numerical methods. Finally, the effects of the parameter variation of the viscoelastic sandwich beam on its natural frequencies and loss factors are discussed. Some meaningful conclusions are obtained.
1. Department of Mechanical Engineering, Tsinghua University, Beijing 100084, China;
2. College of Mechanical and Electronic Engineering, Jingdezhen Ceramic Institute, jiangxi, Jingdezhen 333001
Abstract：The finite element model for the three-layer viscoelastic sandwich beam is developed based on the first-order shear deformation theory and the Hamilton principle. The vibration and damping characteristics of the viscoelastic sandwich beam are studied. The viscoelastic core of the sandwich beam is considered incompressible, and the vibration energy is dissipated only by the shear deformation of the viscoelastic core. The accuracy and efficiency of the finite element model presented in this paper are verified by comparing with the analytical solutions. The numerical solutions of the presented method, the real eigenmodes (RM) method, the approached complex eigenmodes (ACM) method, the diamante approach (DA) and the asymptotic numerical method (ANM) are compared with the analytical solution. The results show that the presented method has better accuracy and efficiency than those commonly used numerical methods. Finally, the effects of the parameter variation of the viscoelastic sandwich beam on its natural frequencies and loss factors are discussed. Some meaningful conclusions are obtained.
黄志诚1,2， 秦朝烨1， 褚福磊1. 基于剪切耗能假设的黏弹性夹芯梁的振动和阻尼特性[J]. 振动与冲击, 2015, 34(7): 183-191.
Zhicheng Huang1,2 Zhaoye Qin1 Fulei Chu1. Vibration and damping characteristics analysis of viscoelastic sandwich beams based on the shear dissipating energy assumption. JOURNAL OF VIBRATION AND SHOCK, 2015, 34(7): 183-191.
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