The dynamic stability characteristics of damage-prone systems
Williamson, Eric Brian
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https://hdl.handle.net/2142/23332
Description
Title
The dynamic stability characteristics of damage-prone systems
Author(s)
Williamson, Eric Brian
Issue Date
1996
Doctoral Committee Chair(s)
Hjelmstad, Keith D.
Department of Study
Civil and Environmental Engineering
Discipline
Civil and Environmental Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Applied Mechanics
Engineering, Civil
Language
eng
Abstract
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.
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