STOCHASTIC ESTIMATION OF EARTHQUAKE RESPONSE OF INDETERMINATE LINEAR GROUND MODEL BY FIRST-ORDER INTERVENING VARIABLE METHOD : First-order intervening variable method : Part 1

Abstract

The first-order intervening variable method for the stochastic estimation of the seismic response of the indeterminate ground is presented. This method is based on the Taylor expansion as to the intervening variables which are the functions of the stochastic variables. This method enables to deal with the problem where the nonlinearity of variation of response as to the variation of stochastic variables is remarkable without the loss of the simplicity. The power-function, quadratic-function, and spline-function are employed as the intervening functions. The Monte Carlo Simulation of one-dimensional soil column are carried out to demonstrate the effectiveness of the presenting method.