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Topology Optimization of Viscoelastic Materials for Maximizing Damping and Natural Frequency of Macrostructures

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Advances in Structural and Multidisciplinary Optimization (WCSMO 2017)

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Abstract

The topology optimization algorithm of viscoelastic material microstructure based on bi-directional evolutionary structural optimization (BESO) method is proposed for macroscopic damping characteristics of the structures. The optimization aims to obtain the optimal topologies of the material microstructures within given volume fraction so that the resulting structure has optimal damping characteristics. The design concept of this scheme is essentially a two-scale design which considers the effective properties of material microstructures and macroscopic performance. Viscoelastic material is used for the damping of the macrostructure and the frequency constraint is also applied so that the resulting macrostructure has the best damping performance with prescribed natural frequencies. The microstructures of the material are represented by periodic unit cells (PUCs) and the effective properties of the material microstructures are homogenized and integrated into the finite element analysis of the macroscopic structures. The sensitivity analysis is conducted for iteratively updating the topologies of material microstructures. Numerical examples are presented to demonstrate the effectiveness of the proposed optimization algorithm.

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Acknowledgements

The authors wish to acknowledge the support from the Australian Research Council (FT130101094) and the China Scholarship Council.

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Authors and Affiliations

  1. School of Engineering, RMIT University, GPO BOX 2476V, Melbourne, 3001, Australia

    Qiming Liu & Xiaodong Huang

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  1. Qiming Liu
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  2. Xiaodong Huang
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Correspondence to Xiaodong Huang .

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Editors and Affiliations

  1. Chair for Optimization of Mechanical Stuctures, Faculty for Mechanical Engineering and Safety Engineering, University of Wuppertal, Wuppertal, Germany

    Axel Schumacher

  2. Institute for Construction Enginnering, Technische Universität Braunschweig, Braunschweig, Germany

    Thomas Vietor

  3. Braunschweig, Germany

    Sierk Fiebig

  4. Chair of Structural Analysis, Technische University of Munich, Munich, Germany

    Kai-Uwe Bletzinger

  5. Engineering Center, ECAE 197, University of Colorado Boulder, Boulder, Colorado, USA

    Kurt Maute

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Liu, Q., Huang, X. (2018). Topology Optimization of Viscoelastic Materials for Maximizing Damping and Natural Frequency of Macrostructures. In: Schumacher, A., Vietor, T., Fiebig, S., Bletzinger, KU., Maute, K. (eds) Advances in Structural and Multidisciplinary Optimization. WCSMO 2017. Springer, Cham. https://doi.org/10.1007/978-3-319-67988-4_131

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  • DOI: https://doi.org/10.1007/978-3-319-67988-4_131

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  • Publisher Name: Springer, Cham

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  • Online ISBN: 978-3-319-67988-4

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