Passive Vibration Control: A Structure-Immittance Approach

Ying Zhang, Jason Zheng Jiang*, Simon Neild

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

45 Citations (Scopus)
310 Downloads (Pure)


Linear passive vibration absorbers, such as tuned mass dampers, often contain springs, dampers and masses, although recently there has been a growing trend to employ or supplement the mass elements with inerters. When considering possible configurations with these elements broadly, two approaches are normally used, one structure-based and one immittance-based. Both approaches have their advantages and disadvantages. In this paper, a new approach is proposed: the structure-immittance approach. Using this approach, a full set of possible series-parallel networks with predetermined numbers of each element type can be represented by structural immittances, obtained via a proposed general formulation process. Using the structural immittances, both the ability to investigate a class of absorber possibilities together (advantage of the immittance-based approach), and the ability to control the complexity, topology and element values in resulting absorber configurations (advantages of the structure-based approach) are provided at the same time. The advantages of proposed approach are demonstrated through two case studies on building vibration suppression and automotive suspension design, respectively.
Original languageEnglish
Article number20170011
Number of pages20
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Issue number2201
Early online date31 May 2017
Publication statusPublished - May 2017


  • Inerter
  • Restricted complexity realization
  • Systematic approach


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