Robust design optimization using a non-intrusive second-order approximation of stochastic moments

This paper presents a new formulation of the second-order fourth-moment method (sometimes referred to as second-order perturbation method or second-order method of moments). The method allows to efficiently predict the stochastic moments of a response function and is therefore often used within robust design optimization. The new approach allows a non-intrusive implementation at the same cost as existing, highly intrusive formulations. Therefore, the new approach can be applied to any objective function without significant implementation effort. It is based on a few finite difference steps into special directions and hence is dependent on the corresponding step sizes. An automatic step size procedure is supplied beside a detailed convergence analysis. The advantages of the new formulation are demonstrated by robust design optimizations of a 2D and a 3D example using the geometrically nonlinear finite element method.

Subjects

Method of moments

Robust design optimization (RDO)

Robust topology optimization

Second-order perturbation approach

DDC Class

519: Applied Mathematics, Probabilities

Funding(s)

Form- und Topologieoptimierung imperfektionssensitiver Strukturen bei streuender Geometrie

Projekt DEAL

Lizenz

https://creativecommons.org/licenses/by/4.0/

Name

s00158-024-03843-6.pdf

Type

Main Article

Size

2.24 MB

Format

Adobe PDF

Options

Robust design optimization using a non-intrusive second-order approximation of stochastic moments