Structural and Multidisciplinary Optimization

, Volume 55, Issue 5, pp 1559–1573 | Cite as

A new approach to optimization of viscoelastic beams: minimization of the input/output transfer function \(\boldsymbol {H}_{\infty }\)-norm

RESEARCH PAPER
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Abstract

A new approach to structural optimization in dynamic regime is presented that is based on the minimization of the \(H_{\infty }\) norm of the transfer function between the external loads and the structural response. The method is successfully applied to the sizing optimization of viscoelastic beams as shown by extensive numerical investigations that are presented in much detail. The abstract nature of the proposed approach makes it applicable to a wide class of dynamical systems including 2D and 3D systems within general topology optimization frameworks that are object of ongoing analysis.

Keywords

Dynamics Optimization \(H_{\infty }\) norm 
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Notes

Acknowledgments

Two anonymous reviewers are gratefully acknowledged for their comments that led to remarkable improvements of the paper.

Fondazione Cariplo (grants “Safer Helmets”) is gratefully acknowledged.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.Department of Civil Engineering and ArchitectureUniversity of PaviaPaviaItaly

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