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University of Illinois at Urbana-Champaign

The dynamic stability characteristics of damage-prone systems

Abstract

dc:description

The behavior of a simple mechanical system, experiencing large deformations and inelastic material response with damage, is presented. Because the differential equations that describe the motion are highly nonlinear and coupled for the multi-degree-of-freedom system, a numerical procedure was employed to determine the response. While most engineering approaches to the design of such systems utilize a static approach, results from this research indicate that static analyses cannot effectively predict the behavior of a dynamic, damage-prone system. Most importantly, the rate of damage accumulation will have the greatest impact on the stability properties of the system. In fact, for certain load cases, a system that accrues more damage may be less prone to instability than a system that suffers little damage. For this research, it was assumed that damage caused a reduction in the stiffness such that the structure experienced cyclic softening with increased cycles of loading. Application of the results to seismic-resistant design was considered.

Degree

thesis:*
Name thesis:degree_name
Ph.D.
Level thesis:degree_level
Dissertation
Discipline thesis:degree_discipline
Civil and Environmental Engineering
Grantor
University of Illinois at Urbana-Champaign
Year dc:date
2011

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Williamson, Eric Brian
Contributors dc:contributor
  • Hjelmstad, Keith D.

Subjects

dc:subject × 2

Rights

dc:rights
Statement dc:rights
  • Copyright 1996 Williamson, Eric Brian
Language dc:language
eng

Identifiers

dc:identifier.*
Identifier
9780591089141
AAI9702715
(UMI)AAI9702715
OAI identifier oai:identifier
oai:www.ideals.illinois.edu:2142/23332

Chain of custody

source
Harvested from
University of Illinois - Urbana-Champaign
Base URL
www.ideals.illinois.edu/oai-pmh
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
citation

Williamson, Eric Brian. The dynamic stability characteristics of damage-prone systems. Dissertation thesis, University of Illinois at Urbana-Champaign, 2011. http://hdl.handle.net/2142/23332