Damping optimization of viscoelastic thin structures, application and analysis

In this work, damping properties of bending viscoelastic thin structures are enhanced by topology optimization. Homogeneous linear viscoelastic plates are optimized and compared when modeled by either the Kirchhoff–Love or Reissner–Mindlin plate theories as well as by the bulk 3D viscoelastic consti...

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Bibliographic Details
Published in:Structural and multidisciplinary optimization 2023-07, Vol.66 (7), p.149, Article 149
Main Authors: Joubert, Antoni, Allaire, Grégoire, Amstutz, Samuel, Diani, Julie
Format: Article
Language:English
Subjects:
Computational Mathematics and Numerical Analysis
Constitutive equations
Constitutive relationships
Damping
Design optimization
Engineering
Engineering Design
Engineering Sciences
Finite element method
High performance computing
Isotropic material
Mathematical models
Mathematics
Methods
Mindlin plates
Modulus of elasticity
Optimization techniques
Poisson's ratio
Research Paper
Theoretical and Applied Mechanics
Topology optimization
Viscoelasticity
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Summary:In this work, damping properties of bending viscoelastic thin structures are enhanced by topology optimization. Homogeneous linear viscoelastic plates are optimized and compared when modeled by either the Kirchhoff–Love or Reissner–Mindlin plate theories as well as by the bulk 3D viscoelastic constitutive equations. Mechanical equations are numerically solved by the finite element method and designs are represented by the level-set approach. High performance computing techniques allow to solve the transient viscoelastic problem for very thin 3D meshes, enabling a wider range of applications. The considered isotropic material is characterized by a generalized Maxwell model accounting for the viscoelasticity of both Young modulus and Poisson’s ratio. Numerical results show considerable design differences according to the chosen mechanical model, and highlights a counter-intuitive section shrinking phenomenon discussed at length. The final numerical example extends the problem to an actual shoe sole application, performing its damping optimization in an industrial context.
ISSN:1615-147X
1615-1488
DOI:10.1007/s00158-023-03602-z