Nonlinear Reduced-Order Modeling of Flat Cantilevered Structures: Identification Challenges and Remedies

Abstract

The focus of this investigation is on the development and validation of nonintrusive structural dynamic reduced-order models (ROMs) for the geometrically nonlinear response of flat cantilevered structures, e.g., beams and plates. The specificities of these structures, compared to those supported all around, are first highlighted. These findings are then used to develop, for these structures, a modification of the identification of reduced-order modeling strategies that provide a complete representation of the structural response, i.e., including both transverse and in-plane displacement fields. This variation of the ROM methodology is successfully applied to several flat beam and plate models under both static and dynamic loads spanning large and very large deflections.