{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/19044"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/19044","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Analysis of passive and active discrete-distributed linear dynamical systems using Green's function methods","abstract":"A detailed, rigorous analysis of the dynamics of a large class of linear passive discrete-distributed mechanical systems has been performed, unifying and extending previous results in the field. A distributed parameter system, represented by the Green's function of its governing differential equation, and a multiplicity of arbitrarily located lumped parameter systems are coupled at discrete points and the resulting combined system is considered as a whole. 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A distributed parameter system, represented by the Green's function of its governing differential equation, and a multiplicity of arbitrarily located lumped parameter systems are coupled at discrete points and the resulting combined system is considered as a whole. Modal analysis is used extensively, and the discrete-continuous nature of the operators and eigenfunctions is explicitly addressed.","Similar methods are then applied to active combined systems wherein discrete control forces are generated by linear feedback of measured displacements and velocities. The greater generality of these systems gives rise to a number of interesting features not seen in the passive case. Particular attention is paid to the problem of pole placement by displacement feedback and to the effect of velocity feedback upon transient response and stability.","Made available in DSpace on 2011-05-07T11:55:14Z (GMT). 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A distributed parameter system, represented by the Green's function of its governing differential equation, and a multiplicity of arbitrarily located lumped parameter systems are coupled at discrete points and the resulting combined system is considered as a whole. Modal analysis is used extensively, and the discrete-continuous nature of the operators and eigenfunctions is explicitly addressed.","Similar methods are then applied to active combined systems wherein discrete control forces are generated by linear feedback of measured displacements and velocities. The greater generality of these systems gives rise to a number of interesting features not seen in the passive case. Particular attention is paid to the problem of pole placement by displacement feedback and to the effect of velocity feedback upon transient response and stability.","Made available in DSpace on 2011-05-07T11:55:14Z (GMT). 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