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Title: Disturbance Attenuation in Mass Chains with Passive Interconnection
Author: Yamamoto, Kaoru
ISNI:       0000 0004 7426 4033
Awarding Body: University of Cambridge
Current Institution: University of Cambridge
Date of Award: 2016
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This thesis is concerned with disturbance amplification in interconnected systems which may consist of a large number of elements. The main focus is on passive control of a chain of interconnected masses where a single point is subject to an external disturbance. The problem arises in the design of multi-storey buildings subjected to earthquake disturbances, but applies in other situations such as bidirectional control of vehicle platoons. It is shown that the scalar transfer functions from the disturbance to a given intermass displacement can be represented as a complex iterative map. This description is used to establish uniform boundedness of the H∞-norm of these transfer functions for certain choices of interconnection impedance. A graphical method for selecting an impedance such that the H∞-norm is no greater than a prescribed value for an arbitrary length of the mass chain is given. A design methodology for a fixed length of the mass chain is also provided. A case study for a 10-storey building model demonstrates the validity of this method.
Supervisor: Smith, Malcolm C. Sponsor: Funai Foundation for Information Technology
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
Keywords: Interconnected dynamical systems ; Mechanical networks ; Disturbance rejcetion ; Vibration control ; Complex iterative maps ; Passivity