Mass chains with passive interconnection

Complex iterative maps and scalability

Kaoru Yamamoto, Malcolm C. Smith

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper introduces the problem of passive control of a chain of N identical masses in which there is an identical passive connection between neighbouring masses and a similar connection to a movable point. The problem arises in the design of multi-storey buildings which are subjected to earthquake disturbances, but applies in other situations, for example vehicle platoons. The paper will study the scalar transfer functions from the disturbance to a given intermass displacement. It will be shown that these transfer functions can be conveniently represented in the form of complex iterative maps and that these maps provide a method to establish boundedness in N of the H -norm of these transfer functions for certain choices of interconnection impedance.

Original languageEnglish
Title of host publication2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages37-42
Number of pages6
ISBN (Print)9781467357173
DOIs
Publication statusPublished - Jan 1 2013
Externally publishedYes
Event52nd IEEE Conference on Decision and Control, CDC 2013 - Florence, Italy
Duration: Dec 10 2013Dec 13 2013

Other

Other52nd IEEE Conference on Decision and Control, CDC 2013
CountryItaly
CityFlorence
Period12/10/1312/13/13

Fingerprint

Interconnection
Transfer Function
Transfer functions
Scalability
Disturbance
Passive Control
Earthquake
Impedance
Boundedness
Earthquakes
Scalar
Norm
Design
Buildings
Form

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Modelling and Simulation
  • Control and Optimization

Cite this

Yamamoto, K., & Smith, M. C. (2013). Mass chains with passive interconnection: Complex iterative maps and scalability. In 2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013 (pp. 37-42). [6759855] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2013.6759855

Mass chains with passive interconnection : Complex iterative maps and scalability. / Yamamoto, Kaoru; Smith, Malcolm C.

2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013. Institute of Electrical and Electronics Engineers Inc., 2013. p. 37-42 6759855.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Yamamoto, K & Smith, MC 2013, Mass chains with passive interconnection: Complex iterative maps and scalability. in 2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013., 6759855, Institute of Electrical and Electronics Engineers Inc., pp. 37-42, 52nd IEEE Conference on Decision and Control, CDC 2013, Florence, Italy, 12/10/13. https://doi.org/10.1109/CDC.2013.6759855
Yamamoto K, Smith MC. Mass chains with passive interconnection: Complex iterative maps and scalability. In 2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013. Institute of Electrical and Electronics Engineers Inc. 2013. p. 37-42. 6759855 https://doi.org/10.1109/CDC.2013.6759855
Yamamoto, Kaoru ; Smith, Malcolm C. / Mass chains with passive interconnection : Complex iterative maps and scalability. 2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013. Institute of Electrical and Electronics Engineers Inc., 2013. pp. 37-42
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