Synthesis of passive interconnections in mass chains achieving a scale-free performance

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1 Citation (Scopus)


This article is concerned with the synthesis problem of passive mechanical admittances that connect masses in a chain. The mass chain is excited at one boundary point, and the admittances are designed to suppress the disturbance independent of the length of the chain. The scalar transfer functions from the disturbance to a given intermass displacement are studied. The disturbance rejection performance is optimised over a class of arbitrary positive real mechanical admittances. The resulting admittance is synthesised mechanically using springs, dampers, and inerters only.

Original languageEnglish
Pages (from-to)1709-1717
Number of pages9
JournalProceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering
Issue number9
Publication statusPublished - Oct 2021

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Mechanical Engineering


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