University of Illinois Urbana-Champaign

Analysis of passive and active discrete-distributed linear dynamical systems using Green's function methods

McFarland, Donald Michael

This item is only available for download by members of the University of Illinois community. Students, faculty, and staff at the U of I may log in with your NetID and password to view the item. If you are trying to access an Illinois-restricted dissertation or thesis, you can request a copy through your library's Inter-Library Loan office or purchase a copy directly from ProQuest.

Permalink

https://hdl.handle.net/2142/19044

Description

Title
Analysis of passive and active discrete-distributed linear dynamical systems using Green's function methods
Author(s)
McFarland, Donald Michael
Issue Date
1990
Doctoral Committee Chair(s)
Bergman, Lawrence A.
Department of Study
Aerospace Engineering
Discipline
Aerospace Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
  • Applied Mechanics
  • Aerospace Engineering
Language
eng
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.
Type of Resource
text
Permalink
http://hdl.handle.net/2142/19044
Copyright and License Information
Copyright 1990 McFarland, Donald Michael

Owning Collections

Graduate Dissertations and Theses at Illinois PRIMARY
Graduate Theses and Dissertations at Illinois
Dissertations and Theses - Aerospace Engineering