Multi-material topology optimization of viscoelastically damped structures using a parametric level set method

Journal Article (2017)
Authors

M. van der Kolk (TU Delft - Computational Design and Mechanics)

GJ van der Veen (TU Delft - Computational Design and Mechanics)

J de Vreugd (TNO)

M Langelaar (TU Delft - Computational Design and Mechanics)

Research Group
Computational Design and Mechanics
To reference this document use:
https://doi.org/10.1177/1077546315617333
More Info
expand_more
Publication Year
2017
Language
English
Research Group
Computational Design and Mechanics
Issue number
15
Volume number
23
Pages (from-to)
2430-2443
DOI:
https://doi.org/10.1177/1077546315617333

Abstract

The design of high performance instruments often involves the attenuation of poorly damped resonant modes. Current design practices typically rely on informed trial and error based modifications to improve dynamic performance. In this article, a multi-material topology optimization approach is presented as a systematic methodology to develop structures with optimal damping characteristics. The proposed method applies a multi-material, parametric, level set-based topology optimization to simultaneously distribute structural and viscoelastic material to optimize damping characteristics. The viscoelastic behavior is represented by a complex-valued material modulus resulting in a complex-valued eigenvalue problem. The structural loss factor is used as objective function during the optimization and is calculated using the complex-valued eigenmodes. An adjoint sensitivity analysis is presented that provides an analytical expression for the corresponding sensitivities. Multiple numerical examples are treated to illustrate the effectiveness of the approach and the influence of different viscoelastic material models on the optimized designs is studied. The optimization routine is able to generate designs for a number of eigenmodes and to attenuate a resonant mode of an existing structure.

No files available

Metadata only record. There are no files for this record.