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Shock and Vibration
Volume 7, Issue 5, Pages 309-320

Stochastic Finite Element Simulation of Uncertain Structures Subjected to Earthquake

Subrata Chakraborty1 and Santi Sekhar Dey2

1Department of Civil Engineering, Bengal Engineering College (Deemed Univ.) Shibpur, Howrah 711103, India
2Department of Civil Engineering, Indian Institute of Technology, Kharagpur, 721302, India

Received 30 June 1999; Revised 5 July 2000

Copyright © 2000 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


In present study, the stochastic finite element simulation based on the efficient Neumann expansion technique is extended for the analysis of uncertain structures under seismically induced random ground motion. The basic objective is to investigate the possibility of applying the Neumann expansion technique coupled with the Monte Carlo simulation for dynamic stochastic systems upto that extent of parameter variation after which the method is no longer gives accurate results compared to that of the direct Monte carlo simulation. The stochastic structural parameters are discretized by the local averaging method and then simulated by Cholesky decomposition of the respective covariance matrix. The earthquake induced ground motion is treated as stationary random process defined by respective power spectral density function. Finally, the finite element solution has been obtained in frequency domain utilizing the advantage of Neumann expansion technique.