Abstract
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.
Highlights
The evaluation of seismic response of structures involves two kinds of stochasticity: one is in the loading conditions and the other is in the structural system itself
The application of the stochastic finite element simulation based on the Neumann expansion technique is extended for the analysis of uncertain structure under dynamic random load due to earthquake
By expanding the uncertain dynamic stiffness matrix about its reference values, the Neumann expansion method can be readily introduced in the finite element procedure to solve the system stochasticity problems
Summary
The evaluation of seismic response of structures involves two kinds of stochasticity: one is in the loading conditions and the other is in the structural system itself. The ground motion observed during earthquake is a random process varying both in space and time. Details of such inputs and its effect on structures are studied extensively and are well documented in the field of random vibration. The purpose of the present work is to go beyond the random vibration analysis and to include the uncertainties in structural parameters as well. The application of the stochastic finite element simulation based on the Neumann expansion technique is extended for the analysis of uncertain structure under dynamic random load due to earthquake
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