Stochastic averaging: an approximate method of solving random vibration problems

JB Roberts, PD Spanos - International Journal of Non-Linear Mechanics, 1986 - Elsevier
Results obtained by applying the method of stochastic averaging to random vibration
problems are discussed. This method is applicable to a variety of problems involving the …

The effective duration of earthquake strong motion

JJ Bommer, A Martínez-Pereira - Journal of earthquake engineering, 1999 - World Scientific
The duration of strong ground shaking during earthquakes can play an important rôle in the
response of foundation materials and structures, particularly when strength or stiffness …

Simulation of artificial earthquakes

G Rodolfo Saragoni, GC Hart - Earthquake Engineering & …, 1973 - Wiley Online Library
A procedure is developed for the simulation of artificial earthquake accelerograms, The time
variation of amplitude and frequency content is preserved in the simulation procedure …

Nonstationary stochastic models of earthquake motions

M Amin, AHS Ang - Journal of the Engineering Mechanics Division, 1968 - ascelibrary.org
Eight strong-motion accelerograms recorded on firm ground and at moderate epicentral
distances are studied for the purpose of developing a reasonable stochastic representation …

First-passage probabilities for randomly excited systems: diffusion methods

JB Roberts - Probabilistic Engineering Mechanics, 1986 - Elsevier
For systems driven by wide-band random excitation processes it is possible to model the
response as a multi-dimensional continuous Markov, or diffusion, process. This approach …

Stochastic characterization of earthquakes through their response spectrum

MK Kaul - Earthquake Engineering & Structural Dynamics, 1978 - Wiley Online Library
If earthquakes are modelled by a stochastic process, it is possible to interpret the associated
response spectrum in terms of the statistics of extreme values of oscillator response to the …

First-crossing probabilities of the linear oscillator

SH Crandall - Journal of Sound and Vibration, 1970 - Elsevier
A classical problem of considerable practical importance is to determine the probability p 1
(T) dT that the absolute value of a random vibration surpasses a threshold for the first time …

Some first-passage problems in random vibration

SH Crandall, KL Chandiramani, RG Cook - 1966 - asmedigitalcollection.asme.org
First-passage problems for a lightly damped linear oscillator excited by white noise are
described for two types of initial conditions and three different types of barrier configurations …

A nonstationary random process model for earthquake accelerograms

R Narayana Iyengar… - Bulletin of the …, 1969 - pubs.geoscienceworld.org
abstract Though many models for the simulation of earthquake records have been
suggested, they are either unrealistic or restricted to a qualitative simulation. If the basic …

Generation of artificial earthquake records with a nonstationary Kanai–Tajimi model

FR Rofooei, A Mobarake, G Ahmadi - Engineering Structures, 2001 - Elsevier
The generalized nonstationary Kanai–Tajimi model is used to describe and simulate the
ground motion time histories. Both amplitude and frequency nonstationarities are …