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Cumulative Damage of Structures Subjected to Response Spectrum Consistent Random Processes


Jeong, Garrett Duane (1985) Cumulative Damage of Structures Subjected to Response Spectrum Consistent Random Processes. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/97b3-2427.


A theoretical analysis of the effect of duration on the damage of structures subjected to earthquakes is presented. Earthquake excitation is modeled as a nonstationary random process. Estimates of the first-passage probability of a simple oscillator are employed to choose modulated Gaussian random processes consistent with a prescribed response spectrum. The response spectrum is assumed to be specified independent of the duration. Expressions for the mean damage of a structure are derived using an approach similar to the Miner-Palmgren rule for failure caused by cyclic loads. The expected damage expressions are then evaluated for a structure subjected to modulated Gaussian random processes of varying duration.

Two types of structures are examined: a steel structure and a reinforced concrete structure. Results are presented for systems with constant linear stiffness and a particular form of softening behavior. The nonlinearity of the softening system is accounted for by statistical linearization. The level of expected damage is found to be a strong function of both the duration of the excitation and the ductility of the response.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:Applied Mechanics
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Applied Mechanics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Iwan, Wilfred D.
Group:Earthquake Engineering Research Laboratory
Thesis Committee:
  • Iwan, Wilfred D. (chair)
  • Beck, James L.
  • Hall, John F.
  • Caughey, Thomas Kirk
  • Knauss, Wolfgang Gustav
Defense Date:11 January 1985
Other Numbering System:
Other Numbering System NameOther Numbering System ID
EERL Report85-03
Funding AgencyGrant Number
S. D. Bechtel, Jr. FoundationUNSPECIFIED
Record Number:CaltechTHESIS:04052019-121036771
Persistent URL:
Related URLs:
URLURL TypeDescription ItemTechnical Report EERL 85-03 in CaltechAUTHORS
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:11441
Deposited By: Mel Ray
Deposited On:10 Apr 2019 15:23
Last Modified:20 Aug 2021 22:45

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