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Disturbance Attenuation in Mass Chains with Passive Interconnection

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cam.restrictionthesis_access_open
cam.supervisorSmith, Malcolm C.
cam.thesis.fundingfalse
dc.contributor.authorYamamoto, Kaoru
dc.contributor.orcidYamamoto, Kaoru [0000-0003-1888-3529]
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.date.updated2018-08-22T01:10:56Z
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.identifier.doi10.17863/CAM.26393
dc.identifier.otherPhD.39373
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/279020
dc.language.isoen
dc.publisher.collegeGonville and Caius
dc.publisher.departmentDepartment of Engineering
dc.publisher.institutionUniversity of Cambridge
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.type.qualificationtitlePhD in Engineering

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