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Disturbance Attenuation in Mass Chains with Passive Interconnection 10.17863/CAM.26393 Yamamoto, Kaoru 0000000318883529 Smith, Malcolm C. 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 $\mathcal{H}_\infty$-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. University of Cambridge 2016-04-23 Thesis Doctoral Doctor of Philosophy (PhD) en Funai Foundation for Information Technology https://www.repository.cam.ac.uk/handle/1810/279020 https://apollo8-f-pro.lib.cam.ac.uk/bitstreams/23af90bc-e680-4d5d-a4c1-fcf71cd19ad7/download 2c640096fd2c49db675d87b432eb2874 https://apollo8-f-pro.lib.cam.ac.uk/bitstreams/98618030-1d27-427e-a21d-8233611d291b/download 87eda9de84448d1f82354d60eee3eb5f https://www.rioxx.net/licenses/all-rights-reserved/ Interconnected dynamical systems Mechanical networks Disturbance rejcetion Vibration control Complex iterative maps Passivity