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APPLICATIONS OF STOCHASTIC FEM BASED ON THE LOCAL AVERAGE OF RANDOM FIELD IN RANDOM EIGENVALUE PROBLEMS

APPLICATIONS OF STOCHASTIC FEM BASED ON THE LOCAL AVERAGE OF RANDOM FIELD IN RANDOM EIGENVALUE PROBLEMS
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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.
机构地区 Zhejiang Univ
出处 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 1990年第1期1-6,共6页 中国航空学报(英文版)
关键词 Beams and Girders ANALYSIS Beams and Girders Analysis
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