Concurrent Topology Optimization for Maximizing the Modal Loss Factor of Plates with Constrained Layer Damping Treatment Article Swipe
Zhanpeng Fang
,
Lei Yao
,
Junjian Hou
,
Yanqiu Xiao
·
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.3390/ma15103512
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.3390/ma15103512
Damping performance of the plates with constrained layer damping (CLD) treatment mainly depends on the layout of CLD material and the material physical properties of the viscoelastic damping layer. This paper develops a concurrent topology optimization methodology for maximizing the modal loss factor (MLF) of plates with CLD treatment. At the macro scale, the damping layer is composed of 3D periodic unit cells (PUC) of cellular viscoelastic damping materials. At the micro scale, due to the deformation of viscoelastic damping material affected by the base and constrained layers, the representative volume element (RVE) considering a rigid skin effect is used to improve the accuracy of the effective constitutive matrix of the viscoelastic damping material. Maximizing the MLFs of CLD plates is employed as the design objectives in optimization procedure. The sensitivities with respect to macrodesign variables are formulated using the adjoint vector method while considering the contribution of eigenvectors, while the influence of macroeigenvectors is ignored to improve the computational efficiency in the mesosensitivity analysis. The macro and meso scales design variables are simultaneously updated using the Method of Moving Asymptotes (MMA) to find concurrently optimal configurations of constrained and viscoelastic damping layers at the macro scale and viscoelastic damping materials at the micro scale. Two rectangular plates with different boundary conditions are presented to validate the optimization procedure and demonstrate the effectiveness of the proposed concurrent topology optimization approach. The effects of optimization objectives and volume fractions on the design results are investigated. The results indicate that the optimized layouts of the macrostructure are dependent on the objective mode and the volume fraction on the meso scale. The optimized designs on the meso scale are mainly related to the objective mode. By varying the volume fraction on the macro scale, the optimized designs on the meso scale are different only in their detailed size, which is reflected in the values of the equivalent constitutive matrices.
Related Topics
Concepts
Viscoelasticity
Constrained-layer damping
Topology optimization
Loss factor
Asymptote
Materials science
Topology (electrical circuits)
Optimization problem
Modal
Structural engineering
Eigenvalues and eigenvectors
Mathematical analysis
Mathematical optimization
Finite element method
Mathematics
Composite material
Physics
Engineering
Vibration control
Acoustics
Vibration
Optoelectronics
Quantum mechanics
Dielectric
Combinatorics
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.3390/ma15103512
- https://www.mdpi.com/1996-1944/15/10/3512/pdf?version=1652758912
- OA Status
- gold
- Cited By
- 4
- References
- 46
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4280594232
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W4280594232Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.3390/ma15103512Digital Object Identifier
- Title
-
Concurrent Topology Optimization for Maximizing the Modal Loss Factor of Plates with Constrained Layer Damping TreatmentWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2022Year of publication
- Publication date
-
2022-05-13Full publication date if available
- Authors
-
Zhanpeng Fang, Lei Yao, Junjian Hou, Yanqiu XiaoList of authors in order
- Landing page
-
https://doi.org/10.3390/ma15103512Publisher landing page
- PDF URL
-
https://www.mdpi.com/1996-1944/15/10/3512/pdf?version=1652758912Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
goldOpen access status per OpenAlex
- OA URL
-
https://www.mdpi.com/1996-1944/15/10/3512/pdf?version=1652758912Direct OA link when available
- Concepts
-
Viscoelasticity, Constrained-layer damping, Topology optimization, Loss factor, Asymptote, Materials science, Topology (electrical circuits), Optimization problem, Modal, Structural engineering, Eigenvalues and eigenvectors, Mathematical analysis, Mathematical optimization, Finite element method, Mathematics, Composite material, Physics, Engineering, Vibration control, Acoustics, Vibration, Optoelectronics, Quantum mechanics, Dielectric, CombinatoricsTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
4Total citation count in OpenAlex
- Citations by year (recent)
-
2025: 1, 2024: 3Per-year citation counts (last 5 years)
- References (count)
-
46Number of works referenced by this work
- Related works (count)
-
10Other works algorithmically related by OpenAlex
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