Mesoscopic Topology Optimization of Viscoelastic Damping Layer for Constrained Layer Damping Plate
[1]FANG Zhanpeng,RAN Kaiwen,TIAN Shuxia,et al.Mesoscopic Topology Optimization of Viscoelastic Damping Layer for Constrained Layer Damping Plate[J].Journal of Zhengzhou University (Engineering Science),2022,43(04):60-66.[doi:10.13705/j.issn.1671-6833.2022.04.005]
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Journal of Zhengzhou University (Engineering Science)[ISSN
1671-6833/CN
41-1339/T] Volume:
43卷
Number of periods:
2022 04
Page number:
60-66
Column:
Public date:
2022-07-03
- Title:
- Mesoscopic Topology Optimization of Viscoelastic Damping Layer for Constrained Layer Damping Plate
- Keywords:
- viscoelastic damping material; representative volume element; mesoscopic topology optimization; modal loss factor
- CLC:
- TB53
- DOI:
- 10.13705/j.issn.1671-6833.2022.04.005
- Abstract:
- A mesoscopic topology optimization for viscoelastic damping layer of constrained layer damping (CLD) plates was proposed to solve the problem of vibration reduction optimization of CLD structures.The viscoelastic damping layer consisted of 3D unit cells.Representative volume element (RVE) was used to analyze the equivalent material properties of 3D unit cells.The imposed boundary conditions on the 3D unit cells of the viscoelastic layer were considering rigid skin effects.A mesoscopic topology optimization model for viscoelastic damping layer of CLD structure was established to maximize the modal loss factor of macrostructure.The sensitivities of the objective function with respect to the design variables were analyzed and the design variables were updated by optimality criteria (OC) method.The modal analysis of finite element model of periodic perforated CLD plate was carried out.Campared with fined-mesh method,the maximum errors of natural frequency and modal loss factor calculated by RVE considering rigid skin effects were 0.09% and 3.60%,respectively.However,the maximum errors of natural frequency and modal loss factor calculated by the traditional homogenization method were 1.18% and 6.59%,respectively.It could be seen that the calculation accuracy of RVE considering rigid skin effects was higher than that of the traditional homogenization method.With the volume fraction of viscoelastic damping material being 0.4 as the constraint,the meso-configuration of viscoelastic damping material of CLD plate was optimized with the first,second and third order modal loss factor maximization as the optimization objective.The results showed that the meso-configuration of viscoelastic damping layer was related to the modal shape of the target order and the direction of modal shear stress.Although the consumption of viscoelastic damping material was reduced by 60%,the first three modal loss factors of the optimized structure increased by 3.70%,14.86% and 10.22%,respectively.The resonant peaks decreased by 9.71%,10% and 13.33%,respectively.The correctness and effectiveness of the proposed optimization method were verified.
- References:
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Last Update:
2022-07-03