First passage of a sliding rigid structure on a frictional foundation

L. A. Bergman, B. F. Spencer

Research output: Contribution to journalArticlepeer-review


The first passage problem for a sliding rigid block on a frictional foundation, subjected to Gaussian white noise through the foundation, is studied. A well‐posed boundary value problem is formulated from Markov process theory and solved for the ordinary moments of time to first passage by the finite element method. A range of parameters is studied representing a simple seismic base isolation system. Results of Monte Carlo simulation are given for comparison.

Original languageEnglish (US)
Pages (from-to)281-291
Number of pages11
JournalEarthquake Engineering & Structural Dynamics
Issue number3
StatePublished - 1985

ASJC Scopus subject areas

  • Geotechnical Engineering and Engineering Geology
  • Earth and Planetary Sciences (miscellaneous)


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