Uncertain Eigenvalue Analysis for Graded Porous and Sandwich Arches by Employing Perturbation-Based Stochastic Finite Element Approach

PurposeThis study investigates the uncertain eigenvalue analysis of graded porous and sandwich arches, considering material stochasticity, using an efficient perturbation-based stochastic finite element approach founded on the three-nodded element. Internal pores in the graded porous arch follow three distinct types of distribution: type 1, type 2, and type 3. The mechanical properties of a graded porous arch change in the thickness direction.MethodThe present stochastic finite element formulation is based on higher order shear deformation theory in conjunction with the probabilistic first-order perturbation technique (FOPT).ResultsThe present model is validated using limited results from the literature as well as independently developed Monte Carlo simulation (MCS) results. The impacts of various influencing parameters such as opening angle (theta(o)), porosity distribution type, the thickness-to-length ratio (h/L), and porosity coefficient (e(o)) on the uncertain eigenvalue analysis of the graded porous and sandwich arches have been investigated in the parametric study.ConclusionIt is found that the SD/Mean of the frequency of the graded porous arch is more susceptible to distribution type 3.

Automated summary

This study investigates the uncertain eigenvalue analysis of graded porous and sandwich arches, considering material stochasticity, using an efficient perturbation-based stochastic finite element approach founded on the three-nodded element. The internal pores in the graded porous arch follow three distinct types of distribution: type 1, type 2, and type 3. The mechanical properties of a graded porous arch change in the thickness direction.