Finite element analysis of shells with multiple random material and geometric properties

摘要

In this work, an updated stochastic formulation of the triangular composite facet shell element TRIC is presented for the case of shell structures with multiple uncertain material (elastic modulus, Poisson's ratio) and geometric (thickness) properties. These properties are assumed to be described by statistically independent two-dimensional homogeneous stochastic fields. The stochastic finite element analysis of the shell structures is performed using the spectral representation method for the description of the random fields in conjunction with Monte Carlo Simulation (MCS) for the computation of the response variability. Useful conclusions regarding the influence of each one of the structural parameters on the displacement variability are derived from the numerical tests examined.