Stochastic Finite Element Analysis of Plate Structures Considering Spatial Parameter Random Fields

For plate structures, their random parameters can be regarded as a two-dimensional field in the plane. To solve theory considering field, an efficient strategy for stochastic finite element method was adopted. Firstly, used to establish structural model, which characteristics of parameter were considered, and mathematical expression its obtained through Karhunen–Loève expansion; secondly, point estimate applied calculate statistics structures. The computational efficiency significantly improved reference selection strategy. accuracy calculation verified, influences correlation length coefficient variation on response structures under different types (including Kirchhoff Mindlin plate) boundary conditions simply supported clamped supported) discussed. proposed provide some help solving static problems