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Stochastic seismic sliding of rigid mass supported through non‐symmetric friction
Author(s) -
Constantinou Michalakis C.,
Gazetas George,
Tadjbakhsh Iradj
Publication year - 1984
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/eqe.4290120606
Subject(s) - monte carlo method , slip (aerodynamics) , nonlinear system , mathematics , stochastic process , mathematical analysis , physics , statistical physics , mechanics , statistics , quantum mechanics , thermodynamics
The sliding behaviour of a rigid mass supported on a randomly vibrating foundation through a non‐symmetric Coulomb‐friction contact is studied both analytically and by numerical simulation. The analysis is based on a stationary solution of the associated Fokker‐Planck equation, and makes use of equivalent linearization and of a suitable decomposition of the non‐zero mean non‐stationary sliding process. It is shown that the analytical results yield several exact asymptotic expansions for both small and large values of time. An extensive Monte Carlo type numerical simulation study produces non‐stationary response statistics which are in very good accord with the analytical results. Furthermore, it is found that Gumbel's Extreme Value Distribution reproduces with remarkable accuracy the observed cumulative frequency of maximum slip displacement. The results of this paper may find application in seismic design of embankment dams, earth retaining walls and base ‘isolation’ systems.