The error in the finite difference based probabilistic dynamic analysis is investigated. Some eigenvalue problems associated with bars in the stochastic setting are also investigated. The stochastic variables will be treated as continuous random variables. With the finite difference method (FDM) and finite element method (FEM), approximations of different kind are used to reduce the continuous system to the discrete one and analyze the simpler system. The results show that in the evaluation of reliability of bars in vibrations, second-order central differences analysis is preferable.
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