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1 International Journal of Applied Mechanics and Engineering

1 2001

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Stochastic second order perturbation approach to the finite difference based vibration analysis

Kamiński M., Spanos P. D.

International Journal of Applied Mechanics and Engineering

2001

Vol. 6, no 2

369-393

The second order perturbation second probabilistic moment analysis of stochastic vibrations problems in the context of the Finite Difference Method (FDM) is presented. The approach can be successfully used in all engineering analyses where FDM modelling of vibrations is appropriate and, in the same time, where certain structural parameters are random variables or fields. The main advantage of the Stochastic Finite Difference Method (SFDM) proposed is a relatively convenient extension of existing deterministic models of the classical theory of elastodynamics to the stochastic case. Theoretical developments are elucidated by the examples regarding the limitations on the second order random uncertainties measures of input random variables.