摘要
This paper applies stochastic finite element method based on the local average of random field to analyze random eigenvalue problems. The local average of homogeneous random vector field is briefly introduced. The formulae for the means and covariances of random eigenvalues and eignevectors of stochastic structures are derived by using second order perturbation method. The numerical results are given to show better convergence with respect to element number in the present method than that in Nakagiri's method.
This paper applies stochastic finite element method based on the local average of random field to analyze random eigenvalue problems. The local average of homogeneous random vector field is briefly introduced. The formulae for the means and covariances of random eigenvalues and eignevectors of stochastic structures are derived by using second order perturbation method. The numerical results are given to show better convergence with respect to element number in the present method than that in Nakagiri's method.