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dc.contributor.authorYamamoto, Kaoru
dc.date.accessioned2018-08-28T10:22:27Z
dc.date.available2018-08-28T10:22:27Z
dc.date.issued2016-04-23
dc.date.submitted2015-08-11
dc.identifier.otherPhD.39373
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/279020
dc.description.abstractThis 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 $\mathcal{H}_\infty$-norm of these transfer functions for certain choices of interconnection impedance. A graphical method for selecting an impedance such that the $\mathcal{H}_\infty$-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.
dc.description.sponsorshipFunai Foundation for Information Technology
dc.language.isoen
dc.rightsAll rights reserved
dc.rightsAll Rights Reserveden
dc.rights.urihttps://www.rioxx.net/licenses/all-rights-reserved/en
dc.subjectInterconnected dynamical systems
dc.subjectMechanical networks
dc.subjectDisturbance rejcetion
dc.subjectVibration control
dc.subjectComplex iterative maps
dc.subjectPassivity
dc.titleDisturbance Attenuation in Mass Chains with Passive Interconnection
dc.typeThesis
dc.type.qualificationlevelDoctoral
dc.type.qualificationnameDoctor of Philosophy (PhD)
dc.publisher.institutionUniversity of Cambridge
dc.publisher.departmentDepartment of Engineering
dc.date.updated2018-08-22T01:10:56Z
dc.identifier.doi10.17863/CAM.26393
dc.contributor.orcidYamamoto, Kaoru [0000-0003-1888-3529]
dc.publisher.collegeGonville and Caius
dc.type.qualificationtitlePhD in Engineering
cam.supervisorSmith, Malcolm C.
cam.thesis.fundingfalse
rioxxterms.freetoread.startdate2018-08-22


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