TY - JOUR
T1 - Synthesis of passive interconnections in mass chains achieving a scale-free performance
AU - Yamamoto, Kaoru
N1 - Funding Information:
The author(s) disclosed receipt of the following financial support for the research, authorship, and/or publication of this article: This work has been supported in part by the Japan Society for the Promotion of Science under Grants-in-Aid for Scientific Research No. 20K14766 and No. 19H02161.
Publisher Copyright:
© IMechE 2021.
PY - 2021/10
Y1 - 2021/10
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85103422536&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85103422536&partnerID=8YFLogxK
U2 - 10.1177/09596518211004303
DO - 10.1177/09596518211004303
M3 - Article
AN - SCOPUS:85103422536
SN - 0959-6518
VL - 235
SP - 1709
EP - 1717
JO - Proceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering
JF - Proceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering
IS - 9
ER -