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Virginia Tech

Parametric spatial modal analysis of beams

Abstract

dc:description.abstract

Modal analysis is the experimental characterization of the dynanlical behavior of a structure. Recent advances in laser velocimetery have made available to the experimentalist a rich, new source of vibration data. Data can now be obtained from many different spatial locations on a structure. A method is presented to use this new data for the analysis of beams. Two approaches are investigated: minimum residual methods and boundary condition methods. The minimum residual approaches include autoregressive methods and non-linear least squares techniques. Significant contributions to sample rate considerations for parametric sinusoidal estimation resulted from this research. The minimum residual methods provide a good connection between the measured data and the fitted model. However, they do not yield a true modal decomposition of the spatial data. The boundary condition approach provides a complete modal model that is based on the spatial data and is completely compatible with classical beam theory. All theoretical constraints are included in the procedure. Monte Carlo investigations describe the statistical characteristics of the methods. Experiments using beams validate the methods presented. Advantages and limitations of each approach are discussed.

Degree

thesis:*
Name thesis:degree_name
Ph. D.
Level thesis:degree_level
doctoral
Discipline thesis:degree_discipline
Mechanical Engineering
Department dc:contributor.department
Mechanical Engineering
Grantor dc:publisher
Virginia Tech
Year dc:date.issued
1993

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Archibald, Charles Mark
Chairs dc:contributor.committeechair
  • Wicks, Alfred L.
  • Robertshaw, Harry H.
Committee members dc:contributor.committeemember
  • Mitchell, Larry D.
  • West, Robert L. Jr.
  • Pierce, Felix J.
  • Foutz, Robert

Rights

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

Identifiers

dc:identifier.*
Dc Identifier Other
etd-02022007-133641
OAI identifier oai:identifier
oai:vtechworks.lib.vt.edu:10919/37278

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

Archibald, Charles Mark. Parametric spatial modal analysis of beams. doctoral thesis, Virginia Tech, 1993. http://hdl.handle.net/10919/37278