A review of indirect/non-intrusive reduced order modeling of nonlinear geometric structures

The paper presents a review of reduced order modeling (ROM) techniques for geometrically nonlinear structures, more specifically of those techniques that are applicable to structural models constructed using commercial finite element software. The form of the ROM governing equations, the estimation of their parameters, and the selection of the basis functions are reviewed in detail and comparisons of predicted displacements and stresses obtained by the ROM and the full order, finite element models are presented. These ROM methods and validations are extended next to multidisciplinary problems in which the structure is subjected to thermal effects or interacts with the aerodynamics/acoustics. These various applications demonstrate the usefulness and appropriateness of ROMs as computationally efficient alternatives to full finite element models for the accurate prediction of the geometrically nonlinear response of the structures considered. ► State-of-the-art on indirect/non-intrusive ROM for nonlinear geometric problems. ► ROM form, basis construction, and parameter identification reviewed in details. ► Multidisciplinary applications with thermal, aerodynamic, acoustic, control also reviewed. ► Extensive literature survey.