Nonlinear load exceedance model for cyclic load processes: Development

Karen C. Chou*, Luis F. Oliveira

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Studies of structural response due to stochastic load processes have been extended to include nonlinear material response. The studies on the Poisson processes with rectangular pulses were for positive pulse intensity such as gravity load. The reliability analysis developed was not applicable for processes with reversible cyclic load pulses such as earthquake, thermal or wind loads. Since these reversible loads are critical to the safety of a structure, it is vital that a rigorous analysis be developed to perform the safety assessment. In this paper, the development of a probability model for nonlinear load exceedances subjected to a stochastic process with reversible cyclic load pulses is presented. A probability mass function for the nonlinear load exceedances was developed based on the Markov process. The load deformation relationship used in the study was assumed to be bilinear with the unloading parallel to the initial loading path and the compressive properties being the same as tensile. Good agreements were found between the probability model developed and the histograms computed based on simulated load processes.

Original languageEnglish (US)
Pages (from-to)65-89
Number of pages25
JournalStructural Safety
Issue number1
StatePublished - Mar 1999


  • Cyclic load process
  • Markov process
  • Nonlinear structural response
  • Probability theory
  • Stochastic process

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Building and Construction
  • Safety, Risk, Reliability and Quality

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