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Title:Analysis of passive and active discrete-distributed linear dynamical systems using Green's function methods
Author(s):McFarland, Donald Michael
Doctoral Committee Chair(s):Bergman, Lawrence A.
Department / Program:Aerospace Engineering
Discipline:Aerospace Engineering
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Applied Mechanics
Aerospace Engineering
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. 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.
Issue Date:1990
Type:Text
Language:English
URI:http://hdl.handle.net/2142/19044
Rights Information:Copyright 1990 McFarland, Donald Michael
Date Available in IDEALS:2011-05-07
Identifier in Online Catalog:AAI9114342
OCLC Identifier:(UMI)AAI9114342


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