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Vibration Engineering and Technology of Machinery pp 329–338Cite as

A Block Decoupling Control Algorithm for Vibration Suppression of Linear Structures

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Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 23))

Abstract

In this article, a new block decoupling control algorithm is proposed to decouple undamped or damped structures into two independent substructures with desired closed-loop performance. The algorithm is featured by dealing directly with second-order dynamic structural systems. The block decoupling is implemented by imposing appropriate modal nodal constraints on the closed-loop right eigenvectors so that some modes are uncoupled with the others. The decoupling is synthesised into a process of eigenvalue assignment by the use of multi-input multi-output control, which causes no extra increase of constraints on the control gains and makes the block decoupling control problem very straightforward. A necessary solvability condition for the block decoupling problem is given. Two numerical examples are used to illustrate the working of the proposed approach in undamped and damped structural systems respectively.

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Acknowledgment

X Wei is supported by an award from the Chinese Scholarship Council and the University of Liverpool. The work forms part of a research project supported by EPSRC, grant number EP/J004987/1.

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Authors and Affiliations

  1. Centre for Engineering Dynamics, School of Engineering, University of Liverpool, Liverpool, L69 3GH, UK

    Xiaojun Wei & John E Mottershead

Authors
  1. Xiaojun Wei
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  2. John E Mottershead
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Corresponding author

Correspondence to Xiaojun Wei .

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Editors and Affiliations

  1. School of Mechanical, Aerospace and Civil Engineering (MACE), The University of Manchester, Manchester, United Kingdom

    Jyoti K. Sinha

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Wei, X., Mottershead, J.E. (2015). A Block Decoupling Control Algorithm for Vibration Suppression of Linear Structures. In: Sinha, J. (eds) Vibration Engineering and Technology of Machinery. Mechanisms and Machine Science, vol 23. Springer, Cham. https://doi.org/10.1007/978-3-319-09918-7_29

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  • DOI: https://doi.org/10.1007/978-3-319-09918-7_29

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-09917-0

  • Online ISBN: 978-3-319-09918-7

  • eBook Packages: EngineeringEngineering (R0)

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