Title
Mass chains with passive interconnection: Complex iterative maps and scalability
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.
Year
DOI
Venue
2013
10.1109/CDC.2013.6759855
Decision and Control
Keywords
Field
DocType
buildings (structures),iterative methods,transfer functions,vibration control,complex iterative maps,earthquake disturbance,interconnection impedance,intermass displacement,mass chains,multistorey building,passive control,passive interconnection,scalability,scalar transfer function
Vibration control,Iterative method,Control theory,Computer science,Scalar (physics),Passive control,Electrical impedance,Transfer function,Interconnection,Scalability
Conference
ISSN
ISBN
Citations 
0743-1546
978-1-4673-5714-2
2
PageRank 
References 
Authors
0.42
4
2
Name
Order
Citations
PageRank
Kaoru Yamamoto152.59
Malcolm C. Smith225047.90