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Virginia Polytechnic Institute and State University

Parameter identification in distributed structures

Abstract

dc:description.abstract

This dissertation develops two new techniques for the identification of parameters in distributed-parameter systems. The first technique identifies the physical parameter distributions such as mass, damping and stiffness. The second technique identifies the modal quantities of self-adjoint distributed-parameter systems. Distributed structures are distributed-parameter systems characterized by mass, damping and stiffness distributions. To identify the distributions, a new identification technique is introduced based on the finite element method. With this approach, the object is to identify "average" values of mass, damping and stiffness distributions over each finite element. This implies that the distributed parameters are identified only approximately, in the same way in which the finite element method approximates the behavior of a structure. It is common practice to represent the motion of a distributed parameter system by a linear combination of the associated modes of vibration. In theory, we have an infinite set of modes although, in practice we are concerned with only a finite linear combination of the modes. The modes of vibration possess certain properties which distinguish them from one another. Indeed, the modes of vibration are uncorrelated in time and orthogonal in space. The modal identification technique introduced in this dissertation uses path these spatial properties. Because both the temporal and spatial properties are used, the method does not encounter problems when the natural frequencies are closely-spaced or repeated.

Degree

thesis:*
Name thesis:degree_name
Ph. D.
Level thesis:degree_level
doctoral
Discipline thesis:degree_discipline
Engineering Mechanics
Department dc:contributor.department
Engineering Mechanics
Grantor dc:publisher
Virginia Polytechnic Institute and State University
Year dc:date.issued
1986

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Norris, Mark A.
Chair dc:contributor.committeechair
  • Meirovitch, Leonard
Committee members dc:contributor.committeemember
  • Hendricks, Scott L.
  • Frederick, Daniel
  • Mook, Dean T.
  • VanLandingham, Hugh F.

Rights

dc:rights
Statement dc:rights
  • In Copyright
Language dc:language.iso
en_US

Identifiers

dc:identifier.*
Handle dc:identifier.uri
http://hdl.handle.net/10919/71164
OAI identifier oai:identifier
oai:vtechworks.lib.vt.edu:10919/71164

Chain of custody

source
Harvested from
Virginia Tech
Base URL
vtechworks.lib.vt.edu/oai/request
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
related terms
citation

Norris, Mark A.. Parameter identification in distributed structures. doctoral thesis, Virginia Polytechnic Institute and State University, 1986. http://hdl.handle.net/10919/71164